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Title: A nonlinear diffusion equation with nonlinear boundary conditions: Method of lines (English)
Author: Filo, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 38
Issue: 3
Year: 1988
Pages: 273-296
Category: math
MSC: 35A05
MSC: 35A35
MSC: 35K20
MSC: 35K60
MSC: 65M20
idZBL: Zbl 0664.35049
idMR: MR977906
Date available: 2009-09-25T10:10:33Z
Last updated: 2012-08-01
Stable URL:
Reference: [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. Zbl 0518.35050, MR 0678053
Reference: [2] CHZHOU YUI-LIN: The boundary-value problems for the nonlinear parabolic equations.Mat. sb., T47(89), 4, 1959, (Russian).
Reference: [3] FILO J.: On solutions of a perturbed fast diffusion equation.Aplikace Matematiky 32, 1987, 364-380. Zbl 0652.35064, MR 0909544
Reference: [4] FRIEDMAN A.: Partial differential equations.Holt, Rinehart and Winston, New York, 1969. Zbl 0224.35002, MR 0445088
Reference: [5] FUČÍK S., KUFNER A.: Nonlinear differential equations.SNTL, Praha 1978 (Czech). Zbl 0474.35001
Reference: [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 0468239
Reference: [7] KAČUR J.: Method of Rothe in Evolution Equations.Teubner-Texte zur Mathematik, 80, Leipzig 1985. Zbl 0582.65084, MR 0834176
Reference: [8] KAČUR J.: Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions.Math. Slovaca, 30, 1980, 213-237. Zbl 0452.35060, MR 0587248
Reference: [9] KAČUR J.: On boundedness of weak solution for some class of quasilinear partial difìerential equations.Čas. pěst. matem. 98, 1973, 43-55. MR 0316889
Reference: [10] KUFNER A., JOHN O., FUČÍK S.: Function Spaces.Academia, Praha 1977. MR 0482102
Reference: [11] LADYŽENSKAJA O. A., SOLONIKOV V. A., URAĽCEVA N. N.: Linear and quasilinear equations of parabolic type.Nauka, Moscow 1967 (Russian).
Reference: [12] MADDALENA L.: Existence of global solutions for reaction-diffusion systems with density dependent diffusion.Nonlinear Analysis 8, 1984, 1383-1394. MR 0764918
Reference: [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 0099834
Reference: [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 0190552


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