Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AA_2011_23_6_a3, author = {M. O. Korpusov}, title = {Blow up of ion-acoustic waves in plasma with strong time-spatial dispertion}, journal = {Algebra i analiz}, pages = {96--130}, publisher = {mathdoc}, volume = {23}, number = {6}, year = {2011}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AA_2011_23_6_a3/} }
M. O. Korpusov. Blow up of ion-acoustic waves in plasma with strong time-spatial dispertion. Algebra i analiz, Tome 23 (2011) no. 6, pp. 96-130. http://geodesic.mathdoc.fr/item/AA_2011_23_6_a3/
[1] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978, 336 pp. | MR
[2] Galaktionov V. A., Pokhozhaev S. I., “Uravneniya nelineinoi dispersii tretego poryadka: udarnye volny, volny razrezheniya i razrusheniya”, Zh. vychisl. mat. i mat. fiz., 48:10 (2008), 1819–1846 | MR | Zbl
[3] Kalantarov V. K., Ladyzhenskaya O. A., “O vozniknovenii kollapsov dlya kvazilineinykh uravnenii parabolicheskogo i giperbolicheskogo tipov”, Zap. nauch. semin. LOMI, 69, 1977, 77–102 | MR | Zbl
[4] Krasnoselskii M. A., Topologicheskie metody v teorii nelineinykh integralnykh uravnenii, Gostekhizdat, M., 1956, 392 pp. | MR
[5] Krylov N. V., Lektsii po ellipticheskim i parabolicheskim uravneniyam v prostranstvakh Geldera, Nauch. kn., Novosibirsk, 1998 | MR | Zbl
[6] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, v. 8, Elektrodinamika sploshnykh sred, Nauka, M., 1992 | MR
[7] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, v. 10, Fizicheskaya kinetika, FIZMATLIT, M., 2001
[8] Mitidieri E. L., Pokhozhaev S. I., Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh, Tr. Mat. in-ta RAN, 234, 2001, 383 pp. | MR | Zbl
[9] Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987, 480 pp. | MR
[10] Sveshnikov A. G., Alshin A. B., Korpusov M. O., Pletner Yu. D., Lineinye i nelineinye uravneniya sobolevskogo tipa, FIZMATLIT, M., 2007, 734 pp. | Zbl
[11] Tamm I. E., Osnovy teorii elektrichestva, Nauka, M., 1989, 504 pp.
[12] Gasinski L., Papageorgiou N. S., Nonlinear analysis, Ser. in Math. Anal. Appl., 9, Chapman and Hall, Boca Raton, FL, 2006 | MR | Zbl
[13] Levine H. A., “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $Pu_t=-Au+\mathcal F(u)$”, Arch. Rational Mech. Anal., 51 (1973), 371–386 | DOI | MR | Zbl
[14] Levine H. A., “Instability and nonexistence of global solutions to nonlinear wave equations of the form $Pu_{tt}=-Au+\mathcal F(u)$”, Trans. Amer. Math. Soc., 192 (1974), 1–21 | MR | Zbl