Asymptotics of solutions to a nonlinear parabolic equation in the neighborhood of front formation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 10, pp. 1532-1546 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. E. El'bert. Asymptotics of solutions to a nonlinear parabolic equation in the neighborhood of front formation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 10, pp. 1532-1546. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_10_a6/

[1] Kalashnikov A. S., “Nekotorye voprosy kachestvennoi teorii nelineinykh vyrozhdayuschikhsya parabolicheskikh uravnenii vtorogo poryadka”, Uspekhi matem. nauk, 42:2(254) (1987), 135–176 | MR | Zbl

[2] Benilan P., Grandall M. G., Pierre M., “Solutions of the porous medium equation in $\mathbf{R}^N$ under optimal conditions on initial values”, Indiana Univ. Math. J., 33:1 (1984), 51–87 | DOI | MR | Zbl

[3] Aronson D. G., Caffarelli L. A., “The initial trace of a solutions of the porous media equation”, Trans. Amer. Math. Soc., 280:1 (1983), 351–366 | DOI | MR | Zbl

[4] Oleinik O. A., Kalashnikov A. C., Chzhou Yuilin, “Zadacha Koshi i kraevye zadachi dlya uravnenii tipa nestatsionarnoi filtratsii”, Izv. AN SSSR. Ser. matem., 22:5 (1958), 667–704 | MR | Zbl

[5] Dahlberg B. E. J., Kenig C. E., “Non-negative solutions ofthe porous medium equation”, Communs. Part. Different. Equations, 9:5 (1984), 409–437 | DOI | MR | Zbl

[6] Maslov V. P., Danilov V. G., Volosov K. A., Matematicheskoe modelirovanie protsessov teplomassoperenosa: Evolyutsiya dissipativnykh struktur, Fizmatgiz, M., 1987 | MR