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Korpusov, Maxim Olegovich

Statistics Math-Net.Ru
Total publications: 93
Scientific articles: 93
Presentations: 1

Number of views:
This page:13818
Abstract pages:28656
Full texts:9199
References:3371
Professor
Doctor of physico-mathematical sciences (2005)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 16.08.1973
E-mail:
Keywords: equations of composite and psevdoparabolic type type, Sobolevs equations, blow up, Fudjita type thorem, nonlocal equations, Boussinesque equations, waves in e-m media, nonstationary processes in semiconductors, blow up, ion-acoustic wave, nonlinear dynamical boundary condition, plasma physics.
UDC: 517.538, 517.957, 517.956.8, 517.956.6, 519.634, 519.63, 519.633.8, 519.633, 519.633.6, 517.958
MSC: 35M20, 35Q60, 78A40, 78A25, 76A10, 76V05, 47J25, 58E05, 35K15, 45K05, 35B45, 13A99, 35K70

Subject:

In main spectr of my research interests are the blowup results for sobolev type equations.

   
Main publications:
  1. A. B. Alshin, M. O. Korpusov, A. G. Sveshnikov, Blow-up in nonlinear Sobolev type equations, Series in nonlinear analisys and applications, 15, De Gruyter, 2011, 648 с.  mathscinet  zmath
  2. M. O. Korpusov, A. G. Sveshnikov, Nelineinyi funktsionalnyi analiz i matematicheskoe modelirovanie v fizike, т. I, Geometricheskie i topologicheskie svoistva lineinykh prostranstv, URSS, 2011, 416 с.
  3. M. O. Korpusov, A. G. Sveshnikov, Nelineinyi funktsionalnyi analiz i matematicheskoe modelirovanie v fizike, т. II, Metody issledovaniya nelineinykh operatorov, URSS, 2011, 480 с.
  4. M. O. Korpusov, Razrushenie v nelineinykh volnovykh uravneniyakh s polozhitelnoi energiei, URSS, 2012, 256 с.
  5. M. O. Korpusov, Razrushenie v parabolicheskikh i psevdoparabolicheskikh uravneniyakh s dvoinymi nelineinostyami, URSS, 2012, 184 с.

http://www.mathnet.ru/eng/person17734
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/621743

Publications in Math-Net.Ru
2021
1. M. O. Korpusov, A. K. Matveeva, “On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type”, Izv. RAN. Ser. Mat., 85:4 (2021),  96–136  mathnet  elib; Izv. Math., 85:4 (2021), 705–744  isi  scopus
2. M. O. Korpusov, A. A. Panin, A. E. Shishkov, “On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type”, Izv. RAN. Ser. Mat., 85:1 (2021),  118–153  mathnet  mathscinet  elib; Izv. Math., 85:1 (2021), 111–144  isi  scopus
2020
3. M. O. Korpusov, “Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source”, Izv. RAN. Ser. Mat., 84:5 (2020),  119–150  mathnet  mathscinet  elib; Izv. Math., 84:5 (2020), 930–959  isi  scopus
4. M. O. Korpusov, E. A. Ovsyannikov, “Blow-up instability in non-linear wave models with distributed parameters”, Izv. RAN. Ser. Mat., 84:3 (2020),  15–70  mathnet  elib; Izv. Math., 84:3 (2020), 449–501  isi  scopus
5. M. O. Korpusov, G. I. Shlyapugin, “On blow-up of solutions of the Cauchy problems for a class of nonlinear equations of ferrite theory”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 185 (2020),  79–131  mathnet
6. M. O. Korpusov, A. N. Levashov, D. V. Lukyanenko, “Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein–Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020),  1503–1512  mathnet  elib; Comput. Math. Math. Phys., 60:9 (2020), 1452–1460  isi  scopus
2019
7. M. O. Korpusov, A. A. Panin, “Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation of a semiconductor with heating”, Izv. RAN. Ser. Mat., 83:6 (2019),  104–132  mathnet  mathscinet  elib; Izv. Math., 83:6 (2019), 1174–1200  isi  scopus
8. M. O. Korpusov, “Blowup solutions of the nonlinear Thomas equation”, TMF, 201:1 (2019),  54–64  mathnet  mathscinet  elib; Theoret. and Math. Phys., 201:1 (2019), 1457–1467  isi  scopus
9. V. A. Vasil'chenko, M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, “A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches”, Num. Meth. Prog., 20:3 (2019),  323–336  mathnet  elib
10. M. O. Korpusov, A. K. Matveeva, D. V. Lukyanenko, “Diagnostics of instant decomposition of solution in the nonlinear equation of theory of waves in semiconductors”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:4 (2019),  104–113  mathnet
11. M. O. Korpusov, D. K. Yablochkin, “Potential theory for a nonlinear equation of the Benjamin–Bona–Mahoney–Burgers type”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019),  1915–1947  mathnet  elib; Comput. Math. Math. Phys., 59:11 (2019), 1848–1880  isi  scopus
12. M. O. Korpusov, “Blow-up of solutions of nonclassical nonlocal nonlinear model equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019),  621–648  mathnet  elib; Comput. Math. Math. Phys., 59:4 (2019), 583–609  isi  scopus
2018
13. M. O. Korpusov, “On an instantaneous blow-up of solutions of evolutionary problems on the half-line”, Izv. RAN. Ser. Mat., 82:5 (2018),  61–77  mathnet  mathscinet  elib; Izv. Math., 82:5 (2018), 914–930  isi  scopus
14. M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, E. V. Yushkov, “Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities”, Izv. RAN. Ser. Mat., 82:2 (2018),  43–78  mathnet  mathscinet  elib; Izv. Math., 82:2 (2018), 283–317  isi  scopus
15. M. O. Korpusov, “Solution blowup for nonlinear equations of the Khokhlov–Zabolotskaya type”, TMF, 194:3 (2018),  403–417  mathnet  mathscinet  elib; Theoret. and Math. Phys., 194:3 (2018), 347–359  isi  scopus
16. M. O. Korpusov, D. V. Lukyanenko, A. D. Nekrasov, “Analytic-numerical investigation of combustion in a nonlinear medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018),  1553–1563  mathnet  elib; Comput. Math. Math. Phys., 58:9 (2018), 1499–1509  isi  scopus
17. M. O. Korpusov, “Solution blow-up in a nonlinear system of equations with positive energy in field theory”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018),  447–458  mathnet  elib; Comput. Math. Math. Phys., 58:3 (2018), 425–436  isi  scopus
2017
18. E. V. Yushkov, M. O. Korpusov, “Gradient blow-up in generalized Burgers and Boussinesq equations”, Izv. RAN. Ser. Mat., 81:6 (2017),  232–242  mathnet  elib; Izv. Math., 81:6 (2017), 1286–1296  isi  scopus
19. M. O. Korpusov, A. A. Panin, “On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma”, Mat. Zametki, 102:3 (2017),  383–395  mathnet  mathscinet  elib; Math. Notes, 102:3 (2017), 350–360  isi  scopus
20. M. O. Korpusov, E. V. Yushkov, “Global unsolvability of a nonlinear conductor model in the quasistationary approximation”, TMF, 191:1 (2017),  3–13  mathnet  mathscinet  elib; Theoret. and Math. Phys., 191:1 (2017), 471–479  isi  scopus
21. M. O. Korpusov, D. V. Lukyanenko, E. A. Ovsyannikov, A. A. Panin, “Local solvability and decay of the solution of an equation with quadratic noncoercive nonlineatity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017),  107–123  mathnet  elib
22. M. O. Korpusov, S. G. Mikhailenko, “Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017),  1170–1175  mathnet  elib; Comput. Math. Math. Phys., 57:7 (2017), 1167–1172  isi  scopus
2016
23. M. O. Korpusov, “The finite-time blowup of the solution of an initial boundary-value problem for the nonlinear equation of ion sound waves”, TMF, 187:3 (2016),  447–454  mathnet  mathscinet  elib; Theoret. and Math. Phys., 187:3 (2016), 835–841  isi  scopus
24. M. O. Korpusov, S. G. Mikhailenko, “Blowup of the solution to the Cauchy problem with arbitrary positive energy for a system of Klein–Gordon equations in the de Sitter metric”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1775–1779  mathnet  elib; Comput. Math. Math. Phys., 56:10 (2016), 1758–1762  isi  scopus
2015
25. M. O. Korpusov, “Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type”, Izv. RAN. Ser. Mat., 79:5 (2015),  103–162  mathnet  mathscinet  elib; Izv. Math., 79:5 (2015), 955–1012  isi  scopus
26. E. V. Yushkov, M. O. Korpusov, “Global Unsolvability of One-Dimensional Problems for Burgers-Type Equations”, Mat. Zametki, 98:3 (2015),  448–462  mathnet  mathscinet  elib; Math. Notes, 98:3 (2015), 503–514  isi  scopus
2014
27. M. O. Korpusov, A. A. Panin, “Blow-up of solutions of an abstract Cauchy problem for a formally hyperbolic equation with double non-linearity”, Izv. RAN. Ser. Mat., 78:5 (2014),  91–142  mathnet  mathscinet  zmath  elib; Izv. Math., 78:5 (2014), 937–985  isi  elib  scopus
28. M. O. Korpusov, A. G. Sveshnikov, E. V. Yushkov, “Blow-up of solutions of non-linear equations of Kadomtsev–Petviashvili and Zakharov–Kuznetsov types”, Izv. RAN. Ser. Mat., 78:3 (2014),  79–110  mathnet  mathscinet  zmath  elib; Izv. Math., 78:3 (2014), 500–530  isi  scopus
2013
29. M. O. Korpusov, “Blow-up of solutions of strongly dissipative generalized Klein–Gordon equations”, Izv. RAN. Ser. Mat., 77:2 (2013),  109–138  mathnet  mathscinet  zmath  elib; Izv. Math., 77:2 (2013), 325–353  isi  elib  scopus
30. M. O. Korpusov, “On the Blow-Up of the Solution of an Equation Related to the Hamilton–Jacobi Equation”, Mat. Zametki, 93:1 (2013),  81–95  mathnet  mathscinet  zmath  elib; Math. Notes, 93:1 (2013), 90–101  isi  elib  scopus
31. M. O. Korpusov, “Solution blow-up for a class of parabolic equations with double nonlinearity”, Mat. Sb., 204:3 (2013),  19–42  mathnet  mathscinet  zmath  elib; Sb. Math., 204:3 (2013), 323–346  isi  scopus
32. M. O. Korpusov, E. V. Yushkov, “Solution blowup for systems of shallow-water equations”, TMF, 177:2 (2013),  264–275  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 177:2 (2013), 1505–1514  isi  elib  scopus
33. M. O. Korpusov, A. A. Panin, “Local solvability and solution blowup for the Benjamin–Bona–Mahony–Burgers equation with a nonlocal boundary condition”, TMF, 175:2 (2013),  159–172  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:2 (2013), 580–591  isi  elib  scopus
34. M. O. Korpusov, “Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory”, TMF, 174:3 (2013),  355–363  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 174:3 (2013), 307–314  isi  elib  scopus
2012
35. M. O. Korpusov, “Blow-up of ion-sound waves in plasma with non-linear sources on the boundary”, Izv. RAN. Ser. Mat., 76:2 (2012),  103–140  mathnet  mathscinet  zmath  elib; Izv. Math., 76:2 (2012), 310–345  isi  elib  scopus
36. M. O. Korpusov, “On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy”, Sibirsk. Mat. Zh., 53:4 (2012),  874–891  mathnet  mathscinet; Siberian Math. J., 53:4 (2012), 702–717  isi  scopus
37. M. O. Korpusov, “Solution blowup for the heat equation with double nonlinearity”, TMF, 172:3 (2012),  339–343  mathnet  mathscinet  elib; Theoret. and Math. Phys., 172:3 (2012), 1173–1176  isi  elib  scopus
38. M. O. Korpusov, “Blow-up of the solution of a nonlinear system of equations with positive energy”, TMF, 171:3 (2012),  355–369  mathnet  mathscinet  elib; Theoret. and Math. Phys., 171:3 (2012), 725–738  isi  elib  scopus
39. M. O. Korpusov, “Blowup of a positive-energy solution of model wave equations in nonlinear dynamics”, TMF, 171:1 (2012),  3–17  mathnet  mathscinet  elib; Theoret. and Math. Phys., 171:1 (2012), 421–434  isi  elib  scopus
40. M. O. Korpusov, “Blowup of solutions of the three-dimensional Rosenau–Burgers equation”, TMF, 170:3 (2012),  342–349  mathnet  mathscinet  elib; Theoret. and Math. Phys., 170:3 (2012), 280–286  isi  elib  scopus
41. M. O. Korpusov, “The Destruction of the Solution of the Nonlocal Equation with Gradient Nonlinearity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, 11,  43–53  mathnet
2011
42. M. O. Korpusov, “Blow up of ion-acoustic waves in plasma with strong time-spatial dispertion”, Algebra i Analiz, 23:6 (2011),  96–130  mathnet  mathscinet  elib; St. Petersburg Math. J., 23:6 (2012), 989–1011  isi  elib  scopus
43. M. O. Korpusov, “On the blow-up of internal gravitational waves with non-linear sources”, Izv. RAN. Ser. Mat., 75:4 (2011),  29–48  mathnet  mathscinet  zmath  elib; Izv. Math., 75:4 (2011), 691–710  isi  elib  scopus
44. M. O. Korpusov, “On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary”, Mat. Tr., 14:2 (2011),  83–126  mathnet  mathscinet; Siberian Adv. Math., 22:3 (2012), 161–191
45. M. O. Korpusov, “Blow-up of ion acoustic waves in a plasma”, Mat. Sb., 202:1 (2011),  37–64  mathnet  mathscinet  zmath  elib; Sb. Math., 202:1 (2011), 35–60  isi  scopus
46. M. O. Korpusov, “On blowup of solutions to a system of equations of ion sound waves in plasma”, Sibirsk. Mat. Zh., 52:3 (2011),  600–614  mathnet  mathscinet; Siberian Math. J., 52:3 (2011), 471–483  isi  scopus
47. M. O. Korpusov, “Destruction of solutions of wave equations in systems with distributed parameters”, TMF, 167:2 (2011),  206–213  mathnet  mathscinet; Theoret. and Math. Phys., 167:2 (2011), 577–583  isi  scopus
48. M. O. Korpusov, A. G. Sveshnikov, “On a nonlinear eigenmode problem in semiconductor theory”, Zh. Vychisl. Mat. Mat. Fiz., 51:5 (2011),  872–880  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 51:5 (2011), 816–823  isi  scopus
49. M. O. Korpusov, “On the uniqueness of the solution of a nonlinear eigenmode problem”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011),  642–646  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 51:4 (2011), 597–601  isi  scopus
50. M. O. Korpusov, A. G. Sveshnikov, “Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011),  407–435  mathnet  mathscinet; Comput. Math. Math. Phys., 51:3 (2011), 377–403  isi  scopus
2010
51. M. O. Korpusov, A. G. Sveshnikov, “Solution blow-up for a new stationary Sobolev-type equation”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010),  876–893  mathnet  elib; Comput. Math. Math. Phys., 50:5 (2010), 831–847  isi  scopus
2009
52. M. O. Korpusov, A. G. Sveshnikov, “Blow-up of Oskolkov's system of equations”, Mat. Sb., 200:4 (2009),  83–108  mathnet  mathscinet  zmath  elib; Sb. Math., 200:4 (2009), 549–572  isi  scopus
53. M. O. Korpusov, A. G. Sveshnikov, “One application of the energy method of a H.A. Levine”, Vestnik Chelyabinsk. Gos. Univ., 2009, 11,  48–53  mathnet
2008
54. M. O. Korpusov, A. G. Sveshnikov, “Sufficient conditions for the blowup of a solution to the Boussinesq equation subject to a nonlinear Neumann boundary condition”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008),  2042–2045  mathnet  mathscinet; Comput. Math. Math. Phys., 48:11 (2008), 2077–2080  isi  scopus
55. M. O. Korpusov, A. G. Sveshnikov, “An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008),  1860–1877  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:10 (2008), 1857–1874  isi  scopus
56. M. O. Korpusov, A. G. Sveshnikov, “Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008),  1629–1637  mathnet  mathscinet; Comput. Math. Math. Phys., 48:9 (2008), 1591–1599  isi  scopus
57. A. B. Alshin, M. O. Korpusov, E. V. Yushkov, “Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008),  808–812  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:5 (2008), 764–768  isi  scopus
2006
58. M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of nonlinear Sobolev type equations with cubic sources”, Differ. Uravn., 42:3 (2006),  404–415  mathnet  mathscinet; Differ. Equ., 42:3 (2006), 431–443
59. M. O. Korpusov, A. G. Sveshnikov, ““Destruction” of the solution of a strongly nonlinear equation of pseudoparabolic type with double nonlinearity”, Mat. Zametki, 79:6 (2006),  879–899  mathnet  mathscinet  zmath  elib; Math. Notes, 79:6 (2006), 820–840  isi  elib  scopus
2005
60. M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of abstract Cauchy problems for nonlinear operator-differential equations”, Dokl. Akad. Nauk, 401:1 (2005),  12–15  mathnet  mathscinet
61. M. O. Korpusov, “Blow-Up of the Solution of an Initial-Boundary Value Problem for a Nonhomogeneous Equation of Pseudoparabolic Type”, Differ. Uravn., 41:6 (2005),  832–835  mathnet  mathscinet; Differ. Equ., 41:6 (2005), 873–877
62. M. O. Korpusov, “Global Solvability Conditions for an Initial-Boundary Value Problem for a Nonlinear Equation of Pseudoparabolic Type”, Differ. Uravn., 41:5 (2005),  678–685  mathnet  mathscinet; Differ. Equ., 41:5 (2005), 712–720
63. M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of a class of strongly non-linear dissipative wave equations of Sobolev type with sources”, Izv. RAN. Ser. Mat., 69:4 (2005),  89–128  mathnet  mathscinet  zmath  elib; Izv. Math., 69:4 (2005), 733–770  isi  scopus
64. M. O. Korpusov, A. G. Sveshnikov, “On the “Destruction” of Solutions of Nonlinear Wave Equations of Sobolev Type with Cubic Sources”, Mat. Zametki, 78:4 (2005),  559–578  mathnet  mathscinet  zmath  elib; Math. Notes, 78:4 (2005), 518–536  isi  scopus
65. M. O. Korpusov, A. G. Sveshnikov, “On a necessary and sufficient condition for a blowing up of a solution to a mixed boundary problem for a certain nonlinear equation of Sobolev type”, Sib. Èlektron. Mat. Izv., 2 (2005),  145–155  mathnet  mathscinet  zmath
66. M. O. Korpusov, A. G. Sveshnikov, “On blowup of a solution to a Sobolev-type equation with a nonlocal source”, Sibirsk. Mat. Zh., 46:3 (2005),  567–578  mathnet  mathscinet  zmath  elib; Siberian Math. J., 46:3 (2005), 443–452  isi
67. M. O. Korpusov, A. G. Sveshnikov, “On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005),  272–286  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:2 (2005), 261–274  elib
68. M. O. Korpusov, A. G. Sveshnikov, “On the blowup of solutions to semilinear pseudoparabolic equations with rapidly growing nonlinearities”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005),  145–155  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 45:1 (2005), 138–148
2004
69. M. O. Korpusov, “Blow-up of solutions of a class of strongly non-linear equations of Sobolev type”, Izv. RAN. Ser. Mat., 68:4 (2004),  151–204  mathnet  mathscinet  zmath; Izv. Math., 68:4 (2004), 783–832  isi  scopus
70. M. O. Korpusov, A. G. Sveshnikov, “On the blow-up of the solution of an initial-boundary value problem for a nonlinear nonlocal equation of pseudo-parabolic type”, Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004),  2212–2219  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:12 (2004), 2104–2111
71. M. O. Korpusov, A. G. Sveshnikov, “Three-dimensional nonlinear evolutionary pseudoparabolic equations in mathematical physics. II”, Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004),  2041–2048  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:11 (2004), 1942–1948
2003
72. M. O. Korpusov, “Finite-Time Blow-Up of the Solution of the Cauchy Problem for the Pseudoparabolic Equation $Au_t=F(u)$”, Differ. Uravn., 39:1 (2003),  78–83  mathnet  mathscinet; Differ. Equ., 39:1 (2003), 83–89
73. M. O. Korpusov, A. G. Sveshnikov, “Three-dimensional nonlinear evolution equations of pseudoparabolic type in problems of mathematical physics”, Zh. Vychisl. Mat. Mat. Fiz., 43:12 (2003),  1835–1869  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:12 (2003), 1765–1797
74. M. O. Korpusov, “Conditions for the global solvability of the Cauchy problem for a semilinear equation of pseudoparabolic type”, Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003),  1210–1222  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:8 (2003), 1159–1171
75. M. O. Korpusov, A. G. Sveshnikov, “On the solvability of strongly nonlinear pseudoparabolic equation with double nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003),  987–1004  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 43:7 (2003), 944–961
76. M. O. Korpusov, A. G. Sveshnikov, “On the existence of a solution to the Laplace equation with a nonlinear dynamic boundary condition”, Zh. Vychisl. Mat. Mat. Fiz., 43:1 (2003),  95–110  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:1 (2003), 92–107
2002
77. M. O. Korpusov, “Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator”, Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002),  1788–1795  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:12 (2002), 1717–1724
78. M. O. Korpusov, A. G. Sveshnikov, “Energy estimate of the solution to a nonlinear pseudoparabolic equation at $t\to\infty$”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002),  1200–1206  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 42:8 (2002), 1154–1160
79. M. O. Korpusov, “Global solvability of an initial-boundary value problem for a system of semilinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002),  1039–1050  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:7 (2002), 1000–1011
80. M. O. Korpusov, “Global solvability of pseudoparabolic nonlinear equations and blow-up of their solutions”, Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002),  849–866  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:6 (2002), 814–831
81. M. O. Korpusov, A. G. Sveshnikov, “$\mathbb L^p$-stimates for solutions to initial and initial-boundary value problems for a semilinear system of reaction-diffusion equations in the limit of $t\to+\infty$”, Zh. Vychisl. Mat. Mat. Fiz., 42:1 (2002),  53–75  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:1 (2002), 49–71
2001
82. M. O. Korpusov, A. G. Sveshnikov, “On an initial-boundary value problem in magnetic hydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1734–1741  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:11 (2001), 1651–1658
83. M. O. Korpusov, “On the global solvability of the initial-boundary value problem for a composite-type nonlinear equation”, Zh. Vychisl. Mat. Mat. Fiz., 41:6 (2001),  959–964  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:6 (2001), 910–914
84. M. O. Korpusov, A. G. Sveshnikov, “On the asymptotic behavior of the solution to the Cauchy problem for the system of equations of ambipolar diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  783–795  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:5 (2001), 738–750
85. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation”, Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  641–647  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 41:4 (2001), 602–608
2000
86. M. O. Korpusov, A. G. Sveshnikov, “Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation”, Zh. Vychisl. Mat. Mat. Fiz., 40:11 (2000),  1716–1724  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:11 (2000), 1647–1654
87. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “On quasi-steady processes in conducting nondispersive media”, Zh. Vychisl. Mat. Mat. Fiz., 40:8 (2000),  1237–1249  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:8 (2000), 1188–1199
1999
88. L. V. Perova, Yu. D. Pletner, A. G. Sveshnikov, M. O. Korpusov, “Long-time asymptotics of an initial-boundary value problem for the two-dimensional Sobolev equation”, Differ. Uravn., 35:10 (1999),  1421–1425  mathnet  mathscinet; Differ. Equ., 35:10 (1999), 1443–1447
89. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Asymptotics of the fundamental solution to the equation of two-dimensional internal waves and quasi-front phenomenon”, Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999),  1552–1557  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:9 (1999), 1487–1492
90. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Unsteady waves in anisotropic dispersive media”, Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999),  1006–1022  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:6 (1999), 968–984
1998
91. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Oscillation of a set of curvilinear segments in a stratified fluid”, Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1583–1591  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:9 (1998), 1519–1526
1997
92. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Unsteady waves in a stratified fluid excited by the variation of the normal velocity component on a line segment”, Zh. Vychisl. Mat. Mat. Fiz., 37:9 (1997),  1112–1121  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:9 (1997), 1076–1085
93. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Oscillation of a two-sided line segment in a stratified fluid”, Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  968–974  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:8 (1997), 936–942
94. M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “On the solvability of an initial-boundary value problem for the internal-wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 37:5 (1997),  617–620  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:5 (1997), 602–605

Presentations in Math-Net.Ru
1. On the critical exponent "instantaneous blow-up / local solvability" in the Cauchy problem for a model Sobolev type equation.
A. A. Panin, M. O. Korpusov
Seminar on nonlinear problems of partial differential equations and mathematical physics
September 21, 2021 18:00   

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