| Title:
|
On existence of the weak solution for nonlinear diffusion equation (English) |
| Author:
|
Zeman, Juraj |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1991 |
| Pages:
|
9-20 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper concerns the existence of bounded weak solutions of a anonlinear diffusion equation with nonhomogeneous mixed boundary conditions. (English) |
| Keyword:
|
nonlinear diffusion |
| Keyword:
|
method of lines |
| Keyword:
|
bounded weak solutions |
| Keyword:
|
nonhomogeneous mixed boundary conditions |
| Keyword:
|
initial-boundary value problem |
| MSC:
|
35A15 |
| MSC:
|
35K57 |
| MSC:
|
35K65 |
| MSC:
|
65N40 |
| idZBL:
|
Zbl 0741.35031 |
| idMR:
|
MR1093479 |
| DOI:
|
10.21136/AM.1991.104440 |
| . |
| Date available:
|
2008-05-20T18:40:47Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104440 |
| . |
| Reference:
|
[1] H. W. Alt S. Luckhaus: Quasilinear elliptic-parabolic differential equations.Math. Z. 183, 311-341 (1983). MR 0706391, 10.1007/BF01176474 |
| Reference:
|
[2] J. Kačur: Method of Rothe in evolution equations.Teubner-Texte zur Mathematik, 80, Leipzig, 1985. MR 0834176 |
| Reference:
|
[3] S. Fučík A. Kufner: Nonlinear Differential Equations.Amsterdam-Oxford-New Nork, Elsevier 1980. MR 0558764 |
| Reference:
|
[4] J. Kačur: On boundedness of the weak solution for some class of quasilinear partial differential equations.Časopis pěst. mat. 98 (1973), 43-55. MR 0316889 |
| Reference:
|
[5] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584 |
| Reference:
|
[6] J. Filo: On solutions of a perturbed fast diffusion equation.Aplikace matematiky 32, 1987, 364-380. Zbl 0652.35064, MR 0909544 |
| Reference:
|
[7] J. L. Lions: Quelques méthodes de résolution des problémes aux limites non linéaires.Russian translation, Moskva 1972. Zbl 0248.35001 |
| Reference:
|
[8] H. Gajewski K. Gröger K. Zacharias: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen.Akademie-Verlag, Berlin, 1974. MR 0636412 |
| . |
