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Pokhozhaev Stanislav Ivanovich

Publications


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   2014
1. V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion”, Adv. Nonlinear Stud., 14:1 (2014), 1–29  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
2. S. I. Pokhozhaev, “Smooth solutions of the Navier-Stokes equations”, Sb. Math., 205:2 (2014), 277–290  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
3. V. A. Galaktionov, E. L. Mitidieri, S. I. Pohozaev, Blow-up for higher-order parabolic, hyperbolic, dispersion and Schroedinger equations, Monographs and Research Notes in Mathematics, CRC Press, Boca Raton, FL, 2014 , 568 pp.  crossref  mathscinet  zmath  isi  scopus

   2013
4. O. V. Besov, S. V. Bochkarev, E. A. Volkov, V. A. Il'in, B. S. Kashin, V. V. Kozlov, S. V. Konyagin, N. N. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, A. G. Sergeev, S. A. Telyakovskii, “His mathematical century (to the memory of Sergei Mikhailovich Nikol'skii)”, Russian Math. Surveys, 68:3 (2013), 591–594  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
5. Teoriya funktsii i uravneniya matematicheskoi fiziki, Sbornik statei. K 90-letiyu so dnya rozhdeniya chlena-korrespondenta RAN Lva Dmitrievicha Kudryavtseva, Trudy MIAN, 283, ed. S. I. Pokhozhaev, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2013 , 287 pp.  mathnet
6. S. I. Pokhozhaev, “Nonexistence of global solutions of nonlinear evolution equations”, Differ. Equ., 49:5 (2013), 599–606  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
7. S. I. Pokhozhaev, “Critical nonlinearities in partial differential equations”, Russ. J. Math. Phys., 20:4 (2013), 476–491  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2012
8. V. A. Galaktionov, E. Mitidieri, S. Pohozaev, “Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range”, Advanced Nonlinear Studies, 12:3 (2012), 569–596  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
9. S. I. Pohozaev, “Blow-up of Global Sign-Changing Solutions of a Nonlinear Heat Equation”, Dokl. Math., 85:2 (2012), 225–228  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
10. S. I. Pohozaev, “Blow-up of smooth solutions of the Korteweg–de Vries equation”, Nonlinear Analysis: Theory, Methods & Applications, 75:12 (2012), 4688–4698  mathnet  crossref  mathscinet  zmath  isi  scopus
11. S. I. Pokhozhaev, “On a class of initial-boundary value problems for equations of Korteweg–de Vries type”, Differ. Equ., 48:3 (2012), 372–378  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
12. S. I. Pokhozhaev, “On the nonexistence of global solutions of the Cauchy problem for the Korteweg–de Vries equation”, Funct. Anal. Appl., 46:4 (2012), 279–286  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
13. V. Pikulin, S. Pohozaev, Equations in mathematical physics: a practical course, Modern Birkhäuser Classics, Birkhäuser, Basel, 2012 , 207 pp.  crossref  mathscinet  zmath

   2013
14. S. I. Pohozaev, “On the absence of global solutions of the Korteweg–de Vries equation”, Journal of Mathematical Sciences, 190:1 (2013), 147–156  mathnet  crossref  mathscinet  zmath  scopus

   2011
15. S. I. Pokhozhaev, “Weighted Identities for the Solutions of Generalized Korteweg–de Vries Equations”, Math. Notes, 89:3 (2011), 382–396  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
16. S. I. Pokhozhaev, “Riemann quasi-invariants”, Sb. Math., 202:6 (2011), 887–907  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2013
17. M. S. Agranovich, I. V. Astashova, L. A. Bagirov, V. V. Vlasov, V. V. Zhikov, Yu. S. Ilyashenko, V. V. Kozlov, A. A. Kon'kov, S. I. Pokhozhaev, E. V. Radkevich, N. Kh. Rozov, I. N. Sergeev, A. L. Skubachevskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev. July 2, 1935 – March 11, 2010”, Journal of Mathematical Sciences, 190:1 (2013), 1–7  mathnet  crossref  mathscinet

   2011
18. S. I. Pokhozhaev, “Blow-up of sign-changing solutions of a quasilinear heat equation”, Differ. Equ., 47 (2011), 373–381  crossref  zmath  isi  elib  elib  scopus
19. S. I. Pokhozhaev, “On the nonexistence of global solutions for some initial–boundary value problems for the Korteweg–de Vries equation”, Differ. Equ., 47:4 (2011), 488–493  crossref  mathscinet  zmath  isi  elib  elib  scopus
20. S. I. Pohozaev, “On the dependence of the critical exponent of the nonlinear heat equation on the initial function”, Differ. Equ., 47:7 (2011), 955–962  crossref  mathscinet  zmath  isi  elib  scopus
21. V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Variational approach to complicated similarity solutions of higher-order nonlinear PDEs. II”, Nonlinear Anal. Real World Appl., 12:4 (2011), 2435–2466  crossref  mathscinet  zmath  isi  elib  scopus
22. S. I. Pokhozhaev, “On the existence and nonexistence of solutions of some quasilinear hyperbolic equations”, Differential Equations, 47:12 (2011), 1754–1762  crossref  mathscinet  zmath  isi  elib  scopus

   2010
23. S. I. Pokhozhaev, “Concerning an Equation in the Theory of Combustion”, Math. Notes, 88:1 (2010), 48–56  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
24. S. I. Pokhozhaev, “On the Singular Solutions of the Korteweg–de Vries Equation”, Math. Notes, 88:5 (2010), 741–747  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
25. S. I. Pohozaev, “Blow-up of sign-changing solutions to quasilinear parabolic equations”, Proc. Steklov Inst. Math., 269 (2010), 208–217  mathnet  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
26. S. I. Pohozaev, “On the blow-up of sign-changing solutions to semilinear parabolic equations”, Dokl. Math., 81:2 (2010), 185–187  crossref  mathscinet  zmath  isi  elib  elib  scopus
27. S. I. Pokhozhaev, “On stationary solutions of the Vlasov-Poisson equations”, Differ. Equ., 46:4 (2010), 530–537  crossref  mathscinet  zmath  isi  elib  elib  scopus
28. S. I. Pohozaev, “On a class of singular solutions to the Korteweg-de Vries equation”, Dokl. Math., 82:3 (2010), 936–938  crossref  mathscinet  zmath  isi  elib  elib  scopus
29. S. I. Pokhozhaev, “O kriticheskikh nelineinostyakh v uravneniyakh s chastnymi proizvodnymi”, Trudy Shkoly-konferentsii «Matematika, informatika, ikh prilozheniya i rol v obrazovanii» (Moskva, 14–18 dekabrya 2009 g.), RUDN, M., 2010, 323–350

   2009
30. E. Mitidieri, E. Lanconelli, S. I. Pohozaev, “Liouville Theorems and Detours – Preface”, Nonlinear Anal., 70:8 (2009), 2825  crossref  isi  scopus
31. V. Galaktionov, E. Mitidieri, S. Pokhozhaev, “Variational approach to complicated similarity solutions of higher order nonlinear evolution partial differential equations”, Sobolev spaces in mathematics. II, Int. Math. Ser. (N. Y.), 9, Springer, New York, 2009, 147–197  crossref  mathscinet  zmath
32. S. I. Pokhozhaev, “On the Absence of Positive Solutions of Elliptic Equations in Plane Unbounded Domains”, Math. Notes, 85:2 (2009), 240–250  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
33. S. I. Pokhozhaev, “Global solvability of the Kuramoto-Sivashinsky equation with bounded initial data”, Sb. Math., 200:7 (2009), 1075–1088  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
34. G. Caristi, E. Mitidieri, S. I. Pohozaev, “Some Liouville theorems for quasilinear elliptic inequalities”, Dokl. Math., 79:1 (2009), 118-124  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
35. V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations”, Nonlinear Anal., 70:8 (2009), 2930–2952  crossref  mathscinet  zmath  isi  elib  scopus
36. S. I. Pohozaev, “Critical nonlinearities in partial differential equations”, Milan J. Math., 77:1 (2009), 127–150  crossref  mathscinet  zmath  isi  elib  scopus
37. S. I. Pokhozhaev, “Kratnye polozhitelnye resheniya nelineinykh kraevykh zadach”, Nelineinost v sovremennom estestvoznanii, Sinergetika: ot proshlogo k buduschemu, Izd-vo LKI (URSS), M., 2009, 58–66
38. E. Mitidieri, S. I. Pokhozhaev, “Lifespan estimates for solutions of some evolution inequalities”, Differ. Equ., 45:10 (2009), 1473–1484  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
39. V. A. Galaktionov, S. I. Pokhozhaev, “Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves”, Comput. Math. Math. Phys., 48:10 (2008), 1784–1810  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
40. G. Caristi, E. Mitidieri, S. I. Pokhozhaev, “Local estimates and Liouville theorems for a class of quasilinear inequalities”, Dokl. Math., 77:1 (2008), 85–89  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
41. V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Capacity induced by a nonlinear operator and applications”, Georgian Math. J., 15:3 (2008), 501–516  crossref  mathscinet  zmath  isi  elib
42. V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation”, Dokl. Math., 77:2 (2008), 238–242  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
43. S. I. Pohozaev, “On the nonexistence of global solutions of the Hamilton-Jacobi equation”, Differ. Equ., 44:10 (2008), 1467–1477  crossref  mathscinet  zmath  isi  elib  elib  scopus
44. S. I. Pokhozhaev, “Kratnye polozhitelnye resheniya nelineinykh kraevykh zadach”, Nelineinost v sovremennom estestvoznanii, Sb. statei, posvyaschennyi pamyati S. P. Kurdyumova, 2008, 59–69
45. S. I. Pokhozhaev, “Nonlinear variational problems via the fibering method”, Handbook of differential equations: stationary partial differential equations, Handb. Differ. Equ., 5, eds. M. Chipot, Elsevier/North-Holland, Amsterdam, 2008, 49–209  mathscinet  elib  scopus
46. S. I. Pokhozhaev, “On blow-up of solutions of the Kuramoto-Sivashinsky equation”, Sb. Math., 199:9 (2008), 1355–1365  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
47. S. I. Pokhozhaev, “On the Blow-up of Solutions to Nonlinear Initial–Boundary Value Problems”, Proc. Steklov Inst. Math., 260 (2008), 204–217  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
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