@article{MASLO_1988_38_3_a10,
author = {Filo, J\'an},
title = {A nonlinear diffusion equation with nonlinear boundary conditions: {Method} of lines},
journal = {Mathematica slovaca},
pages = {273--296},
year = {1988},
volume = {38},
number = {3},
mrnumber = {977906},
zbl = {0664.35049},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1988_38_3_a10/}
}
Filo, Ján. A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines. Mathematica slovaca, Tome 38 (1988) no. 3, pp. 273-296. http://geodesic.mathdoc.fr/item/MASLO_1988_38_3_a10/
[1] ARONSON D. G., CRANDALL M. G., PELETIER L. A.: Stabilization of solutions of a degenerate nonlinear diffusion problem. Nonlinear Analysis, 6, 1982, 1001-1022. | MR | Zbl
[2] CHZHOU YUI-LIN: The boundary-value problems for the nonlinear parabolic equations. Mat. sb., T47(89), 4, 1959, (Russian).
[3] FILO J.: On solutions of a perturbed fast diffusion equation. Aplikace Matematiky 32, 1987, 364-380. | MR | Zbl
[4] FRIEDMAN A.: Partial differential equations. Holt, Rinehart and Winston, New York, 1969. | MR | Zbl
[5] FUČÍK S., KUFNER A.: Nonlinear differential equations. SNTL, Praha 1978 (Czech). | Zbl
[6] JEROME J. W.: Horizontal line analysis of the multidimensional porous medium equation: existence, rate of convergence and maximum principle. Lecture Notes in Math. 506, Springer 1976. | MR
[7] KAČUR J.: Method of Rothe in Evolution Equations. Teubner-Texte zur Mathematik, 80, Leipzig 1985. | MR | Zbl
[8] KAČUR J.: Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions. Math. Slovaca, 30, 1980, 213-237. | MR | Zbl
[9] KAČUR J.: On boundedness of weak solution for some class of quasilinear partial difìerential equations. Čas. pěst. matem. 98, 1973, 43-55. | MR
[10] KUFNER A., JOHN O., FUČÍK S.: Function Spaces. Academia, Praha 1977. | MR
[11] LADYŽENSKAJA O. A., SOLONIKOV V. A., URAĽCEVA N. N.: Linear and quasilinear equations of parabolic type. Nauka, Moscow 1967 (Russian).
[12] MADDALENA L.: Existence of global solutions for reaction-diffusion systems with density dependent diffusion. Nonlinear Analysis 8, 1984, 1383-1394. | MR
[13] OLEJNIK O. A., KALASHNIKOV A. S., CHZHOU YUI-LIN: The Cauchy problem and boundary problems for equations of the type of nonstationary filtration. Izv. Akad. Nauk SSSR, Ser. Mat., 22, 1958, 667-704 (Russian). | MR
[14] SABININA E. S.: On a class of quasilinear parabolic equations not solvable for the time derivative. Sibirsk. Mat. Z., 6, 1965, 1074-1100 (Russian). | MR