| 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:
|
http://hdl.handle.net/10338.dmlcz/136471 |
| . |
| 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 |
| . |
