Publications in Math-Net.Ru |
|
2001 |
1. |
L. I. Kamynin, B. N. Khimchenko, “A priori estimates for the solution of the first boundary-value problem for a class of second-order parabolic systems”, Izv. RAN. Ser. Mat., 65:4 (2001), 67–88 ; Izv. Math., 65:4 (2001), 705–726 |
|
1996 |
2. |
L. I. Kamynin, B. N. Khimchenko, “Necessary and sufficient conditions for satisfying the weak extremum principle for second-order, elliptic systems”, Sibirsk. Mat. Zh., 37:6 (1996), 1314–1334 ; Siberian Math. J., 37:6 (1996), 1153–1170 |
3. |
L. I. Kamynin, “Unilateral estimates for solutions to the second and third boundary value problems (with oblique derivative) for a strongly dissipative second-order parabolic equation”, Sibirsk. Mat. Zh., 37:5 (1996), 1081–1102 ; Siberian Math. J., 37:5 (1996), 950–969 |
|
1995 |
4. |
L. I. Kamynin, B. N. Khimchenko, “On a weak extremum principle for a second-order elliptic system”, Izv. RAN. Ser. Mat., 59:5 (1995), 73–84 ; Izv. Math., 59:5 (1995), 949–961 |
|
1994 |
5. |
L. I. Kamynin, B. N. Khimchenko, “One-sided estimates for the solutions of the Cauchy problem for second-order parabolic equations in classes of rapidly growing functions. III”, Differ. Uravn., 30:10 (1994), 1750–1759 ; Differ. Equ., 30:10 (1994), 1618–1627 |
6. |
L. I. Kamynin, B. N. Khimchenko, “One-sided estimates for the solutions of the Cauchy problem for second-order parabolic equations in classes of rapidly growing functions. II”, Differ. Uravn., 30:8 (1994), 1362–1369 ; Differ. Equ., 30:8 (1994), 1262–1269 |
7. |
L. I. Kamynin, B. N. Khimchenko, “One-sided estimates for the solutions of the Cauchy problem for second-order parabolic equations in classes of rapidly growing functions. I”, Differ. Uravn., 30:5 (1994), 838–846 ; Differ. Equ., 30:5 (1994), 772–779 |
8. |
L. I. Kamynin, “Unilateral estimates for a solution to the first boundary value problem for a strongly dissipative second-order parabolic equation over an unbounded domain”, Sibirsk. Mat. Zh., 35:1 (1994), 105–117 ; Siberian Math. J., 35:1 (1994), 96–107 |
|
1991 |
9. |
L. I. Kamynin, “Application of parabolic potentials to boundary value problems in mathematical physics. III”, Differ. Uravn., 27:5 (1991), 836–849 ; Differ. Equ., 27:5 (1991), 582–595 |
10. |
L. I. Kamynin, “Applications of parabolic potentials to boundary value problems in mathematical physics. II”, Differ. Uravn., 27:4 (1991), 627–641 ; Differ. Equ., 27:4 (1991), 441–453 |
11. |
L. I. Kamynin, “Applications of parabolic potentials to boundary value problems in mathematical physics. I”, Differ. Uravn., 27:3 (1991), 487–496 ; Differ. Equ., 27:3 (1991), 348–355 |
12. |
L. I. Kamynin, “Applications of parabolic Pagni potentials to boundary value problems in mathematical physics. II”, Differ. Uravn., 27:2 (1991), 250–263 ; Differ. Equ., 27:2 (1991), 176–187 |
|
1990 |
13. |
L. I. Kamynin, “Applications of parabolic Pagni potentials to boundary value problems in mathematical physics. I”, Differ. Uravn., 26:5 (1990), 829–841 ; Differ. Equ., 26:5 (1990), 596–606 |
|
1989 |
14. |
L. I. Kamynin, “Smoothness of parabolic Pagni potentials. III. Proof of a theorem on the smoothness of a Pagni parabolic potential of a simple layer”, Differ. Uravn., 25:5 (1989), 843–860 ; Differ. Equ., 25:5 (1989), 602–618 |
15. |
L. I. Kamynin, “Smoothness of parabolic Pagni potentials. II. Proof of theorems on smoothness of direct values of Pagni potentials”, Differ. Uravn., 25:4 (1989), 659–674 ; Differ. Equ., 25:4 (1989), 452–463 |
16. |
L. I. Kamynin, “Smoothness of parabolic Pagni potentials. I”, Differ. Uravn., 25:3 (1989), 477–490 ; Differ. Equ., 25:3 (1989), 335–346 |
|
1988 |
17. |
L. I. Kamynin, “A theorem on an oblique derivative for second-order parabolic equations that admit weak degeneration. II”, Differ. Uravn., 24:5 (1988), 863–875 ; Differ. Equ., 24:5 (1988), 572–582 |
18. |
L. I. Kamynin, “A theorem on an oblique derivative for second-order parabolic equations that admit weak degeneration. I”, Differ. Uravn., 24:4 (1988), 650–661 ; Differ. Equ., 24:4 (1988), 456–464 |
19. |
L. I. Kamynin, “On the existence of solutions of the Cauchy problem and of linear boundary value problems for a second-order parabolic equation in an unbounded domain. II”, Differ. Uravn., 24:3 (1988), 445–455 ; Differ. Equ., 24:3 (1988), 314–322 |
20. |
L. I. Kamynin, B. N. Khimchenko, “An isotropic uniqueness theorem for the solution to the Cauchy problem for a second-order parabolic equation”, Differ. Uravn., 24:1 (1988), 73–85 ; Differ. Equ., 24:1 (1988), 57–66 |
|
1987 |
21. |
L. I. Kamynin, “On the existence of solutions of the Cauchy problem and of linear boundary value problems for a second-order parabolic equation in an unbounded domain. I”, Differ. Uravn., 23:11 (1987), 1937–1948 |
|
1986 |
22. |
L. I. Kamynin, B. N. Khimchenko, “A theorem on the space derivative for a second-order one-dimensional parabolic equation”, Differ. Uravn., 22:10 (1986), 1754–1764 |
23. |
L. I. Kamynin, B. N. Khimchenko, “A theorem on the interior derivative for an elliptic-parabolic equation of Kolmogorov type”, Differ. Uravn., 22:8 (1986), 1400–1409 |
24. |
L. I. Kamynin, “Uniqueness of the solution of linear boundary value problems for a second-order degenerate parabolic equation in an unbounded domain. II”, Differ. Uravn., 22:2 (1986), 305–315 |
|
1985 |
25. |
L. I. Kamynin, “Uniqueness of the solution of linear boundary value problems for a second-order degenerate parabolic equation in an unbounded domain. I”, Differ. Uravn., 21:11 (1985), 1959–1970 |
26. |
L. I. Kamynin, B. N. Khimchenko, “Anisotropic classes of uniqueness of the solution of the Cauchy problem for a second-order parabolic equation. II”, Differ. Uravn., 21:8 (1985), 1399–1407 |
27. |
L. I. Kamynin, B. N. Khimchenko, “Anisotropic classes of uniqueness of the solution of the Cauchy problem for a second-order parabolic equation. I”, Differ. Uravn., 21:5 (1985), 832–841 |
28. |
L. I. Kamynin, “A theorem on the internal derivative for a weakly degenerate second-order elliptic equation”, Mat. Sb. (N.S.), 126(168):3 (1985), 307–326 ; Math. USSR-Sb., 54:2 (1986), 297–316 |
|
1984 |
29. |
L. I. Kamynin, B. N. Khimchenko, “A theorem on the interior derivative for a second-order parabolic
equation”, Dokl. Akad. Nauk SSSR, 279:6 (1984), 1311–1314 |
30. |
L. I. Kamynin, B. N. Khimchenko, “A theorem on an infinite derivative for a second-order parabolic equation with a nonnegative characteristic form”, Differ. Uravn., 20:12 (1984), 2103–2112 |
31. |
L. I. Kamynin, B. N. Khimchenko, “A theorem on one-sided a priori boundary estimation for the solution of a second-order degenerate parabolic equation”, Differ. Uravn., 20:10 (1984), 1744–1753 |
32. |
L. I. Kamynin, B. N. Khimchenko, “Theorems on the sign of a derivative for a second-order elliptic-parabolic equation”, Differ. Uravn., 20:4 (1984), 641–652 |
33. |
L. I. Kamynin, “Uniqueness of the solution of the first boundary value problem in an unbounded domain for a second-order parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 24:9 (1984), 1331–1345 ; U.S.S.R. Comput. Math. Math. Phys., 24:5 (1984), 32–40 |
34. |
L. I. Kamynin, B. N. Khimchenko, “Local Lipschitz boundary estimates for solutions of second-order parabolic equations with nonnegative characteristic form”, Zh. Vychisl. Mat. Mat. Fiz., 24:2 (1984), 240–253 ; U.S.S.R. Comput. Math. Math. Phys., 24:1 (1984), 145–154 |
|
1983 |
35. |
L. I. Kamynin, B. N. Khimchenko, “On an aspect of the uniqueness problem for second-order parabolic equations”, Dokl. Akad. Nauk SSSR, 270:2 (1983), 274–277 |
36. |
L. I. Kamynin, B. N. Khimchenko, “A countertheorem of Giraud type for a second-order parabolic equation with nonnegative characteristic form”, Differ. Uravn., 19:10 (1983), 1700–1713 |
37. |
L. I. Kamynin, B. N. Khimchenko, “An aspect of the development of the theory of the anisotropic strict extremum principle of A. D. Aleksandrov”, Differ. Uravn., 19:3 (1983), 426–437 |
|
1982 |
38. |
L. I. Kamynin, “On the uniqueness of solutions of a linear boundary value problem for a second order elliptic-parabolic equation”, Dokl. Akad. Nauk SSSR, 262:4 (1982), 791–794 |
|
1981 |
39. |
L. I. Kamynin, B. N. Khimchenko, “On the anisotropic strict extremum principle for a second order elliptic-parabolic equation”, Dokl. Akad. Nauk SSSR, 258:2 (1981), 288–293 |
40. |
L. I. Kamynin, B. N. Khimchenko, “The strict extremum principle for a weakly parabolically connected, second-order operator”, Zh. Vychisl. Mat. Mat. Fiz., 21:4 (1981), 907–925 ; U.S.S.R. Comput. Math. Math. Phys., 21:4 (1981), 92–110 |
|
1980 |
41. |
L. I. Kamynin, B. N. Khimchenko, “On Tihonov–Täcklind classes of uniqueness for degenerate parabolic equations of second order”, Dokl. Akad. Nauk SSSR, 252:4 (1980), 784–788 |
42. |
L. I. Kamynin, B. N. Khimchenko, “An aspect of the development of the theory of the isotropic strict extremum principle
of A. D. Aleksandrov”, Differ. Uravn., 16:2 (1980), 280–292 |
43. |
L. I. Kamynin, B. N. Khimchenko, “On the strong extremum principle for a D-$(\Pi,\Omega)$-elliptically connected operator of second order”, Mat. Sb. (N.S.), 112(154):1(5) (1980), 24–55 ; Math. USSR-Sb., 40:1 (1981), 21–50 |
|
1979 |
44. |
L. I. Kamynin, B. N. Khimchenko, “On uniqueness of the solution of the Cauchy problem for a second order parabolic equation with nonnegative characteristic form”, Dokl. Akad. Nauk SSSR, 248:2 (1979), 290–294 |
45. |
L. I. Kamynin, B. N. Khimchenko, “Investigations on the isotropic strict extremum principle”, Dokl. Akad. Nauk SSSR, 244:6 (1979), 1312–1316 |
46. |
L. I. Kamynin, B. N. Khimchenko, “The strict extremum principle for a $D-(\Phi , \Omega )$-elliptically connected second-order operator”, Differ. Uravn., 15:7 (1979), 1307–1317 |
47. |
L. I. Kamynin, B. N. Khimchenko, “An isotropic strict extremum principle in a planar domain”, Differ. Uravn., 15:7 (1979), 1296–1306 |
48. |
L. I. Kamynin, B. N. Khimchenko, “A strong extremum principle for weakly elliptically connected second-order operators”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979), 129–142 ; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 133–147 |
|
1978 |
49. |
L. I. Kamynin, B. N. Khimchenko, “Investigations on the maximum principle”, Dokl. Akad. Nauk SSSR, 240:4 (1978), 774–777 |
50. |
L. I. Kamynin, “Uniqueness of boundary value problems for a second-order degenerate elliptic equation”, Differ. Uravn., 14:1 (1978), 39–49 |
51. |
L. I. Kamynin, B. N. Khimchenko, “On local estimates near the boundary of solutions of a second order equation with nonnegative characteristic form”, Mat. Sb. (N.S.), 106(148):2(6) (1978), 162–182 ; Math. USSR-Sb., 34:6 (1978), 715–735 |
|
1977 |
52. |
L. I. Kamynin, B. N. Khimchenko, “On a strong extremum principle for degenerating parabolic equations of second order”, Dokl. Akad. Nauk SSSR, 236:5 (1977), 1060–1063 |
53. |
L. I. Kamynin, B. N. Khimchenko, “On a priori boundary estimates for the solutions of second order equations with nonnegative characteristic form”, Dokl. Akad. Nauk SSSR, 232:1 (1977), 16–19 |
|
1976 |
54. |
B. N. Khimchenko, L. I. Kamynin, “On local estimates of a solution of a second-order parabolic equation near the lower cap of a parabolic boundary”, Dokl. Akad. Nauk SSSR, 227:3 (1976), 543–546 |
55. |
L. I. Kamynin, “The uniqueness of the solution of a boundary value problem with A. A. Samarskii's boundary conditions for a second order parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 16:6 (1976), 1480–1488 ; U.S.S.R. Comput. Math. Math. Phys., 16:6 (1976), 96–104 |
|
1975 |
56. |
L. I. Kamynin, B. N. Khimchenko, “On theorems of Giraud type for a second-order elliptic operator weakly degenerate near the boundary”, Dokl. Akad. Nauk SSSR, 224:4 (1975), 752–755 |
|
1974 |
57. |
L. I. Kamynin, B. N. Khimchenko, “The maximum principle and local regularity (in the Lipschitz sense) of solutions of a second-order parabolic equation near the lateral part of the parabolic boundary”, Dokl. Akad. Nauk SSSR, 219:4 (1974), 785–788 |
|
1972 |
58. |
L. I. Kamynin, B. N. Khimchenko, “On applications of the maximum principle to parabolic equations of second order”, Dokl. Akad. Nauk SSSR, 204:3 (1972), 529–532 |
59. |
L. I. Kamynin, “On the Gevrey theory for parabolic potentials. VI”, Differ. Uravn., 8:6 (1972), 1015–1025 |
60. |
L. I. Kamynin, “Gevrey’s theory for parabolic potentials. V”, Differ. Uravn., 8:3 (1972), 494–509 |
61. |
L. I. Kamynin, “On the Gevrey theory for parabolic potentials. IV, V”, Differ. Uravn., 8:2 (1972), 318–332 |
|
1971 |
62. |
L. I. Kamynin, B. N. Khimchenko, “On the maximum principle for parabolic equations of second order”, Dokl. Akad. Nauk SSSR, 200:2 (1971), 282–285 |
63. |
L. I. Kamynin, “On the Gevrey theory for parabolic potentials. III”, Differ. Uravn., 7:8 (1971), 1473–1489 |
64. |
L. I. Kamynin, “On the Gevrey theory for parabolic potentials. I, II”, Differ. Uravn., 7:4 (1971), 711–726 |
65. |
L. I. Kamynin, “On the Gevrey theory for parabolic potentials. I, II”, Differ. Uravn., 7:2 (1971), 312–328 |
|
1969 |
66. |
L. I. Kamynin, “Solution of the fourth and fifth boundary value problems for a one-dimensional second-order parabolic equation in a curvilinear region”, Zh. Vychisl. Mat. Mat. Fiz., 9:3 (1969), 558–572 ; U.S.S.R. Comput. Math. Math. Phys., 9:3 (1969), 77–96 |
|
1968 |
67. |
L. I. Kamynin, “The Ljapunov–Gjunter theorems for special thermal potentials”, Dokl. Akad. Nauk SSSR, 179:3 (1968), 531–533 |
68. |
L. I. Kamynin, “On the smoothness of thermal potentials. VI. Special thermal potentials $P$ and $Q$ on surfaces of type $Ë^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Ë^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$”, Differ. Uravn., 4:11 (1968), 2034–2055 |
69. |
L. I. Kamynin, “On the smoothness of thermal potentials. VI. Special thermal potentials $P$ and $Q$ on surfaces of type $Ë^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Ë^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$”, Differ. Uravn., 4:10 (1968), 1867–1891 |
70. |
L. I. Kamynin, “On the smoothness of thermal potentials. V. Thermal potentials $U,$ $V$ and $W$ on surfaces of type $Ë^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Ë^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$. II”, Differ. Uravn., 4:5 (1968), 881–895 |
71. |
L. I. Kamynin, “On the smoothness of thermal potentials. V. Thermal potentials $U, V$ and $W$ on surfaces of type $Ë^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Ë^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$”, Differ. Uravn., 4:2 (1968), 347–365 |
72. |
L. I. Kamynin, “The theory of thermal potentials and its applications”, Mat. Zametki, 4:1 (1968), 113–123 ; Math. Notes, 4:1 (1968), 555–561 |
|
1967 |
73. |
L. I. Kamynin, “On the smoothness of thermal potentials. IV”, Differ. Uravn., 3:8 (1967), 1303–1312 |
74. |
L. I. Kamynin, “Smoothness of thermal potentials. IV. Application of the theory of thermal potentials to the solution of a problem of biophysics on the distribution of concentrations in a living cell”, Differ. Uravn., 3:6 (1967), 948–964 |
75. |
L. I. Kamynin, “The maximum principle and boundary $\alpha$-estimates of the solution of the first boundary value problem for a parabolic equation in a non-cylindrical region”, Zh. Vychisl. Mat. Mat. Fiz., 7:3 (1967), 551–567 ; U.S.S.R. Comput. Math. Math. Phys., 7:3 (1967), 104–127 |
|
1966 |
76. |
L. I. Kamynin, “A problem of biophysics”, Dokl. Akad. Nauk SSSR, 169:4 (1966), 761–764 |
77. |
L. I. Kamynin, “On the smoothness of thermal potentials. III”, Differ. Uravn., 2:11 (1966), 1484–1501 |
78. |
L. I. Kamynin, “On the smoothness of thermal potentials. III. A special single layer thermal potential $P(x, t)$ on surfaces of type $Ë^{0,1,\frac{1+\alpha}2}_{1,\alpha,\alpha/2}$ and $Ë_{1,1,\frac{1+\alpha}2}^{1,\alpha,\alpha/2}$”, Differ. Uravn., 2:10 (1966), 1333–1357 |
79. |
L. I. Kamynin, “On the smoothness of thermal potentials. II. Thermal potentials on the surface of type $Ë^{1,\alpha,\alpha/2}_{1,1,(1+\alpha)/2}$”, Differ. Uravn., 2:5 (1966), 647–687 |
|
1965 |
80. |
L. I. Kamynin, V. N. Maslennikova, “Boundary estimates for the solution of an inclined derivative problem for a parabolic equation in a non-cylindrical domain”, Dokl. Akad. Nauk SSSR, 160:3 (1965), 527–529 |
81. |
L. I. Kamynin, “Ljapunov theorems for heat potentials”, Dokl. Akad. Nauk SSSR, 160:2 (1965), 271–273 |
82. |
L. I. Kamynin, “On the smoothness of thermal potentials”, Differ. Uravn., 1:6 (1965), 799–839 |
|
1964 |
83. |
L. I. Kamynin, “The existence of a solution of boundary-value problems for a parabolic equation with discontinuous coefficients”, Izv. Akad. Nauk SSSR Ser. Mat., 28:4 (1964), 721–744 |
84. |
L. I. Kamynin, “A boundary value problem in the theory of heat conduction with a nonclassical boundary condition”, Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964), 1006–1024 ; U.S.S.R. Comput. Math. Math. Phys., 4:6 (1964), 33–59 |
|
1963 |
85. |
L. I. Kamynin, V. N. Maslennikova, “Boundary estimates for the solution of the third boundary-value problem for a parabolic equation”, Dokl. Akad. Nauk SSSR, 153:3 (1963), 526–529 |
86. |
L. I. Kamynin, “On the linear Verigin problem”, Dokl. Akad. Nauk SSSR, 150:6 (1963), 1210–1213 |
|
1962 |
87. |
L. I. Kamynin, “On the method of potentials for a parabolic equation with discontinuous coefficients”, Dokl. Akad. Nauk SSSR, 145:6 (1962), 1213–1216 |
88. |
L. I. Kamynin, “A hydraulics problem”, Dokl. Akad. Nauk SSSR, 143:4 (1962), 779–781 |
89. |
L. I. Kamynin, V. N. Maslennikova, “The solution of the first boundary-value problem for a quasi-linear parabolic equation in non-cylindrical regions”, Mat. Sb. (N.S.), 57(99):2 (1962), 241–264 |
90. |
L. I. Kamynin, “On the existence of a solution of Verigin's problem”, Zh. Vychisl. Mat. Mat. Fiz., 2:5 (1962), 833–858 ; U.S.S.R. Comput. Math. Math. Phys., 2:5 (1963), 954–987 |
|
1961 |
91. |
L. I. Kamynin, “Dependence upon the boundary of the solution of the mixed problem for a parabolic equation”, Dokl. Akad. Nauk SSSR, 140:6 (1961), 1244–1247 |
92. |
L. I. Kamynin, “The solution of boundary-value problems for a parabolic equation with discontinuous coefficients”, Dokl. Akad. Nauk SSSR, 139:5 (1961), 1048–1051 |
93. |
L. I. Kamynin, V. N. Maslennikova, “The solution of the first boundary problem in the large for a quasilinear parabolic equation”, Dokl. Akad. Nauk SSSR, 137:5 (1961), 1049–1052 |
94. |
L. I. Kamynin, “The stability of parabolic difference equations”, Dokl. Akad. Nauk SSSR, 136:6 (1961), 1287–1290 |
|
1960 |
95. |
L. I. Kamynin, V. N. Maslennikova, “Certain properties of solutions of mixed problems for a parabolic equation with discontinuous coefficients”, Dokl. Akad. Nauk SSSR, 133:5 (1960), 1003–1006 |
96. |
A. Chifligu, V. N. Maslennikova, L. I. Kamynin, “On the applicability of Fourier’s method to the solution of the first boundary value problem for a quasilinear equation”, Dokl. Akad. Nauk SSSR, 130:4 (1960), 738–741 |
|
1953 |
97. |
L. I. Kamynin, “On application of the method of finite differences to the solution of the heat conduction equation. II. Convergence of the finite-difference process for the equation of heat conduction”, Izv. Akad. Nauk SSSR Ser. Mat., 17:3 (1953), 249–268 |
98. |
L. I. Kamynin, “On applicability of the method of finite differences to the solution of the equation of heat conduction. I. Uniqueness of solution of a system of finite-difference equations”, Izv. Akad. Nauk SSSR Ser. Mat., 17:2 (1953), 163–180 |
|
|
|
1968 |
99. |
L. I. Kamynin, “Ïîïðàâêà”, Differ. Uravn., 4:3 (1968), 564 |
|