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Solonnikov, Vsevolod Alekseevich

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Total publications: 128
Scientific articles: 125

Number of views:
This page:4333
Abstract pages:28187
Full texts:13707
References:631
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Publications in Math-Net.Ru
2018
1. V. A. Solonnikov, “On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface”, Algebra i Analiz, 30:2 (2018),  274–317  mathnet  elib
2016
2. V. A. Solonnikov, “Proof of Schauder estimates for parabolic initial-boundary value model problems via O. A. Ladyzhenskaya's Fourier multipliers theorem”, Zap. Nauchn. Sem. POMI, 444 (2016),  133–156  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:3 (2017), 475–491  scopus
2015
3. V. A. Solonnikov, “On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval”, Algebra i Analiz, 27:3 (2015),  238–271  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:3 (2016), 523–546  isi  scopus
2014
4. Sh. Sahaev, V. A. Solonnikov, “On the proof of the solvability of a linear problem arising in magnetohydrodynamics with the method of integral equations”, Algebra i Analiz, 26:6 (2014),  172–197  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:6 (2015), 985–1003  isi  elib  scopus
2013
5. V. A. Solonnikov, E. V. Frolova, “Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval”, Zap. Nauchn. Sem. POMI, 410 (2013),  131–167  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 76–97  scopus
6. S. J. N. Mosconi, V. A. Solonnikov, “The linearization principle for a free boundary problem for viscous, capillary incompressible fluids”, Zap. Nauchn. Sem. POMI, 410 (2013),  36–103  mathnet  mathscinet; J. Math. Sci. (N. Y.), 195:1 (2013), 20–60  scopus
2011
7. V. A. Solonnikov, “$L_p$-estimates of solutions of a linear problem arising in magnetohydrodynamics”, Algebra i Analiz, 23:1 (2011),  232–254  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:1 (2012), 161–177  isi  scopus
8. Sh. Sakhaev, V. A. Solonnikov, “On some stationary problems of magnetohydrodynamics in multi-connected domains”, Zap. Nauchn. Sem. POMI, 397 (2011),  126–149  mathnet  mathscinet; J. Math. Sci. (N. Y.), 185:5 (2012), 728–741  scopus
9. I. V. Denisova, V. A. Solonnikov, “Global solvability of a problem governing the motion of two incompressible capillary fluids in a container”, Zap. Nauchn. Sem. POMI, 397 (2011),  20–52  mathnet  mathscinet; J. Math. Sci. (N. Y.), 185:5 (2012), 668–686  scopus
2010
10. V. A. Solonnikov, “On the linear problem arising in the study of a free boundary problem for the Navier–Stokes equations”, Algebra i Analiz, 22:6 (2010),  235–269  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:6 (2011), 1023–1049  isi  scopus
11. M. Padula, V. A. Solonnikov, “On the free boundary problem of magnetohydrodynamics”, Zap. Nauchn. Sem. POMI, 385 (2010),  135–186  mathnet; J. Math. Sci. (N. Y.), 178:3 (2011), 313–344  scopus
2009
12. V. A. Solonnikov, “Instability of rotating fluid”, Zap. Nauchn. Sem. POMI, 370 (2009),  160–183  mathnet; J. Math. Sci. (N. Y.), 166:1 (2010), 91–105  scopus
2007
13. V. A. Solonnikov, E. V. Frolova, “On the justification of the quasistationary approximation for the Stefan problem”, Zap. Nauchn. Sem. POMI, 348 (2007),  209–253  mathnet  elib; J. Math. Sci. (N. Y.), 152:5 (2008), 741–768  elib  scopus
14. V. A. Solonnikov, “On the stability of uniformly rotating viscous incompressible self-gravitating liquid”, Zap. Nauchn. Sem. POMI, 348 (2007),  165–208  mathnet; J. Math. Sci. (N. Y.), 152:5 (2008), 713–740  scopus
2006
15. V. A. Solonnikov, E. V. Frolova, “Weighted estimates of a solution to the linear problem connected with one-phase Stefan problem in the case of the specific heat tends to zero”, Zap. Nauchn. Sem. POMI, 336 (2006),  239–263  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 143:2 (2007), 2987–3003  elib  scopus
16. V. A. Solonnikov, “Estimates of the solution of model evolution generalized Stokes problem in weighted Hölder spaces”, Zap. Nauchn. Sem. POMI, 336 (2006),  211–238  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 143:2 (2007), 2969–2986  scopus
2004
17. V. A. Solonnikov, “Stability of axis-symmetric equilibrium figures of viscous incompressible liquid”, Algebra i Analiz, 16:2 (2004),  120–153  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:2 (2005), 377–400
18. V. A. Solonnikov, “On instability of axially symmetric equilibrium figures of rotating viscous incompressible liquid”, Zap. Nauchn. Sem. POMI, 318 (2004),  277–297  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:2 (2006), 3812–3825
19. G. A. Seregin, T. N. Shilkin, V. A. Solonnikov, “Boundary partial regularity for the Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 310 (2004),  158–190  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 339–358
2003
20. V. A. Solonnikov, “On the Problem of Evolution of an Isolated Liquid Mass”, CMFD, 3 (2003),  43–62  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 124:6 (2004), 5442–5460
21. V. A. Solonnikov, “On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator”, Uspekhi Mat. Nauk, 58:2(350) (2003),  123–156  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 58:2 (2003), 331–365  isi  scopus
2002
22. I. V. Denisova, V. A. Solonnikov, “Classical solvability of a problem governing the motion of an isolated mass of a compressible fluid”, Algebra i Analiz, 14:1 (2002),  71–98  mathnet  mathscinet  zmath; St. Petersburg Math. J., 14:1 (2002), 53–74
23. V. A. Solonnikov, “Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm”, Zap. Nauchn. Sem. POMI, 288 (2002),  204–231  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 123:6 (2004), 4637–4653
2001
24. V. A. Solonnikov, “Generalized energy estimate in a free boundary problem for viscous incompressible fluid”, Zap. Nauchn. Sem. POMI, 282 (2001),  216–243  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:5 (2004), 1766–1783
2000
25. G. I. Bizhanova, V. A. Solonnikov, “On problems with free boundaries for second-order parabolic equations”, Algebra i Analiz, 12:6 (2000),  98–139  mathnet  mathscinet  zmath; St. Petersburg Math. J., 12:6 (2001), 949–981
26. V. A. Solonnikov, “Initial boundary-value problem for generalized Stokes equations in the half-space”, Zap. Nauchn. Sem. POMI, 271 (2000),  224–275  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:6 (2003), 2832–2861
27. I. V. Denisova, V. A. Solonnikov, “Classical solvability of a model problem in a half-space related to the motion of an isolated mass of a compressible liquid”, Zap. Nauchn. Sem. POMI, 271 (2000),  92–113  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:6 (2003), 2753–2765
28. V. A. Solonnikov, A. Fasano, “One-dimensional parabolic problem arising in the study of some free boundary problems”, Zap. Nauchn. Sem. POMI, 269 (2000),  322–338  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 115:1 (2003), 2066–2075
1999
29. V. A. Solonnikov, “Estimates of solutions of the second initial-boundary problem for the Stokes system in the spaces of functions with Hölder continuous derivatives with respect to spatial variables”, Zap. Nauchn. Sem. POMI, 259 (1999),  254–279  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:5 (2002), 1997–2017
1997
30. V. A. Solonnikov, “Solvability of a two-dimensional problem with a free boundary that describes the flow of a viscous incompressible fluid through a hole”, Algebra i Analiz, 9:2 (1997),  169–191  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:2 (1998), 319–337
31. V. A. Solonnikov, “On the estimate of maximum modulus of solution of stationary problem for the Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 249 (1997),  294–302  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:5 (2000), 3563–3569
32. A. Novotny, P. Penel, V. A. Solonnikov, “Investigation of a problem governing a viscous compressible flow past a body in Hölder spaces”, Zap. Nauchn. Sem. POMI, 245 (1997),  247–269  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:2 (2000), 2166–2180
33. V. A. Solonnikov, E. V. Frolova, “$L_p$-theory of the Stefan problem”, Zap. Nauchn. Sem. POMI, 243 (1997),  299–323  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:1 (2000), 989–1006
34. I. Sh. Mogilevskii, V. A. Solonnikov, “Investigation of a problem governing a steady flow of the second grade fluid in the Hölder classes of functions”, Zap. Nauchn. Sem. POMI, 243 (1997),  154–168  mathnet  mathscinet; J. Math. Sci. (New York), 99:1 (2000), 898–906
1996
35. V. A. Solonnikov, “On a steady motion of a drop in an infinite liquid medium”, Zap. Nauchn. Sem. POMI, 233 (1996),  233–254  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:5 (1999), 784–799
1995
36. I. V. Denisova, V. A. Solonnikov, “Classical solvability of the problem of the motion of two viscous incompressible fluids”, Algebra i Analiz, 7:5 (1995),  101–142  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:5 (1996), 755–786
37. P. Maremonti, V. A. Solonnikov, “Estimates for solutions of the nonstationairy Stokes problem in anisotropic Sobolev spaces with mixed norm”, Zap. Nauchn. Sem. POMI, 222 (1995),  124–150  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:5 (1997), 3859–3877
38. G. Mulone, V. A. Solonnikov, “On an initial boundary-value problem for the equation of magnetohydrodynamics with the Hall and ion-slip effects”, Zap. Nauchn. Sem. POMI, 221 (1995),  167–184  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:2 (1997), 3381–3392
1994
39. G. I. Bizhanova, V. A. Solonnikov, “Some model problems for second-order parabolic equations with a time derivative in the boundary conditions”, Algebra i Analiz, 6:6 (1994),  30–50  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:6 (1995), 1151–1166
40. V. A. Solonnikov, “Solvability of a model problem for the Stokes equations in an infinite edge”, Zap. Nauchn. Sem. POMI, 215 (1994),  285–300  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 85:1 (1997), 1741–1751
41. V. A. Solonnikov, “On free boundary problems with moving contact points for stationary two-dimensional Navier–Stokes equations”, Zap. Nauchn. Sem. POMI, 213 (1994),  179–205  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 84:1 (1997), 930–947
1993
42. V. A. Solonnikov, “On a boundary value problem with discontinuous boundary conditions for Stokes and Navier–Stokes equations in the three-dimensional case”, Algebra i Analiz, 5:3 (1993),  252–270  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:3 (1994), 645–660
43. G. I. Bizhanova, V. A. Solonnikov, “On the solvability of an initial-boundary value problem for a second-order parabolic equation with a time derivative in the boundary condition in a weighted Hölder space of functions”, Algebra i Analiz, 5:1 (1993),  109–142  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:1 (1994), 97–124
44. V. A. Solonnikov, “Solvability of some two-dimensional quasistationary free boundary problems for the Havier–Stokes equations with moving contact points”, Zap. Nauchn. Sem. POMI, 206 (1993),  119–126  mathnet  mathscinet  zmath; J. Math. Sci., 80:4 (1996), 1951–1955
1992
45. V. A. Solonnikov, “Problems in the hydrodynamics of a viscous incompressible fluid in domains with noncompact boundaries”, Algebra i Analiz, 4:6 (1992),  28–53  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:6 (1993), 1081–1102
46. V. A. Solonnikov, “Solvability of initial-boundary value problem for the equations of motion of a viscous compressible baratropic fluid in the spaces $W_2^{2+l,1+l/2}(Q_T)$”, Zap. Nauchn. Sem. POMI, 200 (1992),  177–186  mathnet  mathscinet  zmath; J. Math. Sci., 77:3 (1995), 3250–3255
47. V. A. Solonnikov, “On two-dimensional initial-boundary value problem for the Navier–Stokes equations with discontinuous boundary data”, Zap. Nauchn. Sem. LOMI, 197 (1992),  159–178  mathnet  mathscinet  zmath; J. Math. Sci., 75:6 (1995), 2079–2092
1991
48. V. A. Solonnikov, “Solvability of a problem on the evolution of a viscous incompressible fluid, bounded by a free surface, on a finite time interval.”, Algebra i Analiz, 3:1 (1991),  222–257  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:1 (1992), 189–220
49. V. A. Solonnikov, E. V. Frolova, “On a non-stationary problem in a dihedral angle. II”, Zap. Nauchn. Sem. LOMI, 188 (1991),  178–185  mathnet  mathscinet  zmath; J. Math. Sci., 70:3 (1994), 1841–1846
50. I. V. Denisova, V. A. Solonnikov, “Hölder spaces solvability of a model initial-boundary value problem generated by a problem on a motion of two fluids”, Zap. Nauchn. Sem. LOMI, 188 (1991),  5–44  mathnet  mathscinet  zmath; J. Math. Sci., 70:3 (1994), 1717–1746
1990
51. V. A. Solonnikov, E. V. Frolova, “A problem with the third boundary condition for the Laplace equation in a plane angle and its applications to parabolic problems”, Algebra i Analiz, 2:4 (1990),  213–241  mathnet  mathscinet  zmath; Leningrad Math. J., 2:4 (1991), 891–916
52. V. A. Solonnikov, “An initial-boundary value problem for a Stokes system that arises in the study of a problem with a free boundary”, Trudy Mat. Inst. Steklov., 188 (1990),  150–188  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 188 (1991), 191–239
53. V. A. Solonnikov, E. V. Frolova, “Investigation of a boundary value problem in a plane infinite wedge for the Laplacean with the boundary condition of a special type”, Zap. Nauchn. Sem. LOMI, 182 (1990),  149–167  mathnet  mathscinet  zmath; J. Soviet Math., 62:3 (1992), 2819–2831
54. V. A. Solonnikov, A. Tani, “Free boundary problem for the Navier–Stokes equations for a compressible fluid with a surface tension”, Zap. Nauchn. Sem. LOMI, 182 (1990),  142–148  mathnet  mathscinet  zmath; J. Soviet Math., 62:3 (1992), 2814–2818
55. P. Maremonti, V. A. Solonnikov, “An estimate for solutions of the Stokes equations in exteriour domains”, Zap. Nauchn. Sem. LOMI, 180 (1990),  105–120  mathnet  mathscinet  zmath; J. Math. Sci., 68:2 (1994), 229–239
1989
56. V. A. Solonnikov, “Unsteady motions of a finite isolated mass of a self-gravitating fluid”, Algebra i Analiz, 1:1 (1989),  207–249  mathnet  mathscinet  zmath; Leningrad Math. J., 1:1 (1990), 227–276
57. I. V. Denisova, V. A. Solonnikov, “Solvability of a linearized problem on a motion of a drop in a fluid flow”, Zap. Nauchn. Sem. LOMI, 171 (1989),  53–65  mathnet  mathscinet  zmath; J. Soviet Math., 56:2 (1991), 2309–2316
58. Gerd Grubb, V. A. Solonnikov, “Reduction of basic initial-boundary value problems for the Navier–Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations”, Zap. Nauchn. Sem. LOMI, 171 (1989),  36–52  mathnet  mathscinet  zmath; J. Soviet Math., 56:2 (1991), 2300–2308
1988
59. V. A. Solonnikov, “Solvability of a problem of the flow of a viscous incompressible fluid into an infinite open basin”, Trudy Mat. Inst. Steklov., 179 (1988),  174–202  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 179 (1989), 193–225
1987
60. V. A. Solonnikov, “On the transient motion of an isolated volume of viscous incompressible fluid”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987),  1065–1087  mathnet  mathscinet  zmath; Math. USSR-Izv., 31:2 (1988), 381–405
61. Gerd Grubb, V. A. Solonnikov, “Reduction of basic initial-boundary value problems for the Stokes equations to initial-boundary value problems for parabolic systems of pseudodifferential equations”, Zap. Nauchn. Sem. LOMI, 163 (1987),  37–48  mathnet  zmath
1986
62. V. A. Solonnikov, “On an unsteady flow of a finite mass of a liquid bounded by a free surface”, Zap. Nauchn. Sem. LOMI, 152 (1986),  137–157  mathnet  zmath
1985
63. I. M. Rochman, V. A. Solonnikov, “Weighted $L_p$-estimates for singular integrals with anisotropic kernels”, Zap. Nauchn. Sem. LOMI, 147 (1985),  124–137  mathnet  mathscinet  zmath
64. P. Maremonti, V. A. Solonnikov, “On estimates for the solutions to the Dirichlet problem for the Laplacian in exterior domains”, Zap. Nauchn. Sem. LOMI, 146 (1985),  92–101  mathnet  mathscinet  zmath
1984
65. V. A. Solonnikov, “Solvability of the problem of evolution of an isolated volume of viscous, incompressible capillary fluid”, Zap. Nauchn. Sem. LOMI, 140 (1984),  179–186  mathnet  mathscinet  zmath; J. Soviet Math., 32:2 (1986), 223–228
66. V. A. Solonnikov, “On the solvability of classical initial boundary value problems for the heat equation in an unbounded wedge”, Zap. Nauchn. Sem. LOMI, 138 (1984),  146–180  mathnet  mathscinet  zmath
1983
67. O. A. Ladyzhenskaya, V. A. Solonnikov, “The initial-boundary value problem for the linearized Navier–Stokes equations in domains with noncompact boundaries”, Trudy Mat. Inst. Steklov., 159 (1983),  37–40  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 159 (1984), 35–39
68. W. M. Zajączkowski, V. A. Solonnikov, “On the Heumann problem for second order elliptic equations in domains with edges at the boundary”, Zap. Nauchn. Sem. LOMI, 127 (1983),  7–48  mathnet  mathscinet  zmath
1982
69. V. A. Solonnikov, “Solutions of the stationary Navier–Stokes system of equations with an infinite Dirichlet integral”, Zap. Nauchn. Sem. LOMI, 115 (1982),  251–263  mathnet  mathscinet  zmath; J. Soviet Math., 28:5 (1985), 792–799
1981
70. V. A. Solonnikov, A. G. Khachatryan, “On the solvability of initial-boundary value problems for quasilinear parabolic systems”, Zap. Nauchn. Sem. LOMI, 110 (1981),  225–234  mathnet  mathscinet  zmath; J. Soviet Math., 25:1 (1984), 967–973
1980
71. V. A. Solonnikov, A. G. Khachatryan, “Estimates for solutions of parabolic initial-boundary value problems in weighted Hölder norms”, Trudy Mat. Inst. Steklov., 147 (1980),  147–155  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 147 (1981), 153–162
72. V. A. Solonnikov, “On the solvability of boundary and initial-boundary value problem for the Navier–Stokes equations in domains with noncompact boundaries”, Zap. Nauchn. Sem. LOMI, 96 (1980),  288–293  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 864–868
73. O. A. Ladyzhenskaya, V. A. Solonnikov, “On finding of solutions of the stationary Stokes and Navier–Stokes equations which have an unbounded Dirichlet integral”, Zap. Nauchn. Sem. LOMI, 96 (1980),  117–160  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 728–761
1979
74. O. A. Ladyzhenskaya, V. A. Solonnikov, “Determination of the solutions of Navier–Stokes stationary boundary-value problems with infinite dissipation in unbounded regions”, Dokl. Akad. Nauk SSSR, 249:4 (1979),  828–831  mathnet  mathscinet  zmath
75. V. A. Solonnikov, “Solvability of a problem on the plane motion of a heavy viscous incompressible capillary liquid partially filling a container”, Izv. Akad. Nauk SSSR Ser. Mat., 43:1 (1979),  203–236  mathnet  mathscinet  zmath; Math. USSR-Izv., 14:1 (1980), 193–221  isi
76. V. A. Solonnikov, “Solvability of three-dimentional problem with a free boundary for the stationary system of Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 84 (1979),  252–285  mathnet  mathscinet  zmath; J. Soviet Math., 21:3 (1983), 427–450
1977
77. V. A. Solonnikov, “Solvability of a problem on the motion of a viscous incompressible fluid bounded by a free surface”, Izv. Akad. Nauk SSSR Ser. Mat., 41:6 (1977),  1388–1424  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:6 (1977), 1323–1358
78. V. A. Solonnikov, K. I. Pileckas, “Certain spaces of solenoidal vectors and the solvability of the boundary problem for the Navier–Stokes system of equations in domains with noncompact boundaries”, Zap. Nauchn. Sem. LOMI, 73 (1977),  136–151  mathnet  mathscinet  zmath; J. Soviet Math., 34:6 (1986), 2101–2111
79. V. A. Solonnikov, “The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 69 (1977),  200–218  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 141–155
80. V. N. Vasil'ev, V. A. Solonnikov, “An estimate of the maximum modulus of a solution of the linear, time-dependent system of Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 69 (1977),  34–44  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 22–29
1976
81. V. A. Solonnikov, “Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier–Stokes system”, Zap. Nauchn. Sem. LOMI, 59 (1976),  178–254  mathnet  mathscinet  zmath; J. Soviet Math., 10:2 (1978), 336–393
82. O. A. Ladyzhenskaya, V. A. Solonnikov, “Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 59 (1976),  81–116  mathnet  mathscinet  zmath; J. Soviet Math., 10:2 (1978), 257–286
83. V. A. Solonnikov, “On the solvability of the initial-boundary problem for the equation of motion of the viscosity compressible fluid”, Zap. Nauchn. Sem. LOMI, 56 (1976),  128–142  mathnet  mathscinet  zmath; J. Soviet Math., 14:2 (1980), 1120–1133
1975
84. V. A. Solonnikov, “A study of overdetermined elliptic boundary value problems in K. K. Golovkin's fractional spaces”, Trudy Mat. Inst. Steklov., 127 (1975),  93–114  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 127 (1975), 109–134
85. Sh. Sakhaev, V. A. Solonnikov, “Estimations of the solutions of a certain boundary value problem of magnetohydrodynamics”, Trudy Mat. Inst. Steklov., 127 (1975),  76–92  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 127 (1975), 87–108
86. O. A. Ladyzhenskaya, V. A. Solonnikov, “On unique solvability of initial-boundary value problem for viscous incompessible inhomogeneous liquids”, Zap. Nauchn. Sem. LOMI, 52 (1975),  52–109  mathnet  mathscinet  zmath
1974
87. V. A. Solonnikov, “On a class of Noetheriah overdetermined elliptic boundary value problems”, Zap. Nauchn. Sem. LOMI, 47 (1974),  138–154  mathnet  mathscinet  zmath
88. V. A. Solonnikov, “On differential properties of weak solutions of quasilinear equations”, Zap. Nauchn. Sem. LOMI, 39 (1974),  110–119  mathnet  mathscinet  zmath
1973
89. V. A. Solonnikov, V. E. Shchadilov, “A certain boundary value problem for the stationary system of Navier–Stokes equations”, Trudy Mat. Inst. Steklov., 125 (1973),  196–210  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 125 (1973), 186–199
90. V. A. Solonnikov, “Estimates for solutions of nonstationary Navier–Stokes equations”, Zap. Nauchn. Sem. LOMI, 38 (1973),  153–231  mathnet  mathscinet  zmath
91. O. A. Ladyzhenskaya, V. A. Solonnikov, “On a principle of linearization and invariant manifolds for problems of magnetic hydrodynamics”, Zap. Nauchn. Sem. LOMI, 38 (1973),  46–93  mathnet  mathscinet  zmath
1972
92. V. A. Solonnikov, “The differential properties of weak solutions of quasilinear elliptic equations”, Zap. Nauchn. Sem. LOMI, 30 (1972),  174–175  mathnet  mathscinet  zmath
93. V. A. Solonnikov, “On certain inequalities for functions belonging to $\vec W_{p}(R^n)$-classes”, Zap. Nauchn. Sem. LOMI, 27 (1972),  194–210  mathnet  mathscinet  zmath
1971
94. V. A. Solonnikov, “On overdetermined elliptic boundary value problems”, Dokl. Akad. Nauk SSSR, 199:2 (1971),  279–281  mathnet  mathscinet  zmath
95. V. A. Solonnikov, “The Green's matrices for elliptic boundary value problems. II”, Trudy Mat. Inst. Steklov., 116 (1971),  181–216  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 116 (1971), 187–226
96. O. I. Panich, V. A. Solonnikov, “On a question concerning equivalent right regularisator”, Zap. Nauchn. Sem. LOMI, 22 (1971),  192–195  mathnet  mathscinet  zmath
97. V. A. Solonnikov, “On operators admitting regularization”, Zap. Nauchn. Sem. LOMI, 21 (1971),  159–163  mathnet  mathscinet  zmath
98. V. A. Solonnikov, “Overdetermined elliptic boundary value problems”, Zap. Nauchn. Sem. LOMI, 21 (1971),  112–158  mathnet  mathscinet  zmath
1970
99. V. A. Solonnikov, “The Green's matrices for elliptic boundary value problems. I”, Trudy Mat. Inst. Steklov., 110 (1970),  107–145  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 110 (1970), 123–170
1969
100. V. A. Solonnikov, “Green matrices for parabolic initial boundary value problems”, Zap. Nauchn. Sem. LOMI, 14 (1969),  256–287  mathnet  mathscinet  zmath
101. V. A. Solonnikov, “On the complementing condition for overdetermined systems”, Zap. Nauchn. Sem. LOMI, 14 (1969),  237–255  mathnet  mathscinet  zmath
102. V. A. Solonnikov, “Estimates of solutions of parabolic initial-boundary value problems in weighted $L_p$-norms and pointwise estimates”, Zap. Nauchn. Sem. LOMI, 14 (1969),  212–236  mathnet  mathscinet  zmath
1968
103. K. K. Golovkin, V. A. Solonnikov, “On some estimates of convolutions”, Zap. Nauchn. Sem. LOMI, 7 (1968),  6–86  mathnet  mathscinet  zmath
1967
104. V. A. Solonnikov, “Estimates in $L_{p}$ of solutions of elliptic and parabolic systems”, Trudy Mat. Inst. Steklov., 102 (1967),  137–160  mathnet  mathscinet
1966
105. V. A. Solonnikov, “General boundary value problems for Douglis–Nirenberg elliptic systems. II”, Trudy Mat. Inst. Steklov., 92 (1966),  233–297  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 92 (1968), 269–339
106. K. K. Golovkin, V. A. Solonnikov, “Estimates of integral operators in translation-invariant norms. II”, Trudy Mat. Inst. Steklov., 92 (1966),  5–30  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 92 (1968), 3–32
1965
107. V. A. Solonnikov, “On boundary value problems for linear parabolic systems of differential equations of general form”, Trudy Mat. Inst. Steklov., 83 (1965),  3–163  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 83 (1965), 1–184
1964
108. V. A. Solonnikov, “Estimates of fundamental matrices for general parabolic systems with constant coeffecients”, Dokl. Akad. Nauk SSSR, 158:3 (1964),  532–535  mathnet  mathscinet  zmath
109. V. A. Solonnikov, “Boundary-value problems for general linear parabolic systems”, Dokl. Akad. Nauk SSSR, 157:1 (1964),  56–59  mathnet  mathscinet  zmath
110. V. A. Solonnikov, “General boundary value problems for systems elliptic in the sense of A. Douglis and L. Nirenberg. I”, Izv. Akad. Nauk SSSR Ser. Mat., 28:3 (1964),  665–706  mathnet  mathscinet  zmath
111. V. A. Solonnikov, “On the differential properties of the solution of the first boundary-value problem for a non-stationary system of Navier–Stokes equations”, Trudy Mat. Inst. Steklov., 73 (1964),  221–291  mathnet  mathscinet  zmath
112. V. A. Solonnikov, “Estimates for solutions of a non-stationary linearized system of Navier–Stokes equations”, Trudy Mat. Inst. Steklov., 70 (1964),  213–317  mathnet  mathscinet  zmath
113. V. A. Solonnikov, “A priori estimates for solutions of second-order equations of parabolic type”, Trudy Mat. Inst. Steklov., 70 (1964),  133–212  mathnet  mathscinet  zmath
114. K. K. Golovkin, V. A. Solonnikov, “Bounds for integral operators in translation-invariant norms”, Trudy Mat. Inst. Steklov., 70 (1964),  47–58  mathnet  mathscinet  zmath
1963
115. V. A. Solonnikov, “Bounds for the solutions of general boundary-value problems for elliptic systems”, Dokl. Akad. Nauk SSSR, 151:4 (1963),  783–785  mathnet  mathscinet  zmath
1962
116. K. K. Golovkin, V. A. Solonnikov, “Imbedding theorems for fractional spaces”, Dokl. Akad. Nauk SSSR, 143:4 (1962),  767–770  mathnet  mathscinet  zmath
117. V. P. Il'in, V. A. Solonnikov, “Some properties of differentiable functions of several variables”, Trudy Mat. Inst. Steklov., 66 (1962),  205–226  mathnet  mathscinet  zmath
1961
118. K. K. Golovkin, V. A. Solonnikov, “The first boundary-value problem for the non-stationary Navier–Stokes equations”, Dokl. Akad. Nauk SSSR, 140:2 (1961),  287–290  mathnet  mathscinet  zmath
119. V. A. Solonnikov, “A priori estimates for certain boundary-value problems”, Dokl. Akad. Nauk SSSR, 138:4 (1961),  781–784  mathnet  mathscinet  zmath
120. V. P. Il'in, V. A. Solonnikov, “Some properties of differentiable functions of many variables”, Dokl. Akad. Nauk SSSR, 136:3 (1961),  538–541  mathnet  mathscinet  zmath
1960
121. V. A. Solonnikov, “Certain properties of fractional order $\mathfrak{W}_p^l$ spaces”, Dokl. Akad. Nauk SSSR, 134:2 (1960),  282–285  mathnet  mathscinet  zmath
122. V. Solonnikov, “On estimates of Green's tensors for certain boundary problems”, Dokl. Akad. Nauk SSSR, 130:5 (1960),  988–991  mathnet  mathscinet  zmath
123. V. A. Solonnikov, “Some stationary boundary-value problems of magnetohydrodynamics”, Trudy Mat. Inst. Steklov., 59 (1960),  174–187  mathnet  mathscinet
124. O. A. Ladyzhenskaya, V. A. Solonnikov, “Solution of some non-stationary problems of magnetohydrodynamics for a viscous incompressible fluid”, Trudy Mat. Inst. Steklov., 59 (1960),  115–173  mathnet  mathscinet
1958
125. V. Solonnikov, “Linear differential equations with a small parameter in the highest derivative term”, Dokl. Akad. Nauk SSSR, 119:3 (1958),  454–457  mathnet  mathscinet  zmath

2004
126. V. I. Arnol'd, M. Sh. Birman, A. M. Vershik, M. I. Vishik, I. M. Gel'fand, I. A. Ibragimov, V. P. Maslov, S. P. Novikov, G. A. Seregin, Ya. G. Sinai, M. Z. Solomyak, V. A. Solonnikov, N. N. Ural'tseva, L. D. Faddeev, “Olga Aleksandrovna Ladyzhenskaya (obituary)”, Uspekhi Mat. Nauk, 59:3(357) (2004),  151–152  mathnet  mathscinet  zmath; Russian Math. Surveys, 59:3 (2004), 553–555  isi
1964
127. K. K. Golovkin, O. A. Ladyzhenskaya, V. A. Solonnikov, “Errata”, Trudy Mat. Inst. Steklov., 70 (1964),  318  mathnet
1961
128. V. P. Il'in, V. A. Solonnikov, “Поправки к статье “О некоторых свойствах дифференцируемых функций многих переменных” (ДАН, т. 136, № 3, 1961 г.)”, Dokl. Akad. Nauk SSSR, 138:6 (1961),  1254  mathnet

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