| Title:
|
On an approximate solution for quasilinear parabolic equations (English) |
| Author:
|
Kačur, Jozef |
| Author:
|
Wawruch, Alojz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
27 |
| Issue:
|
2 |
| Year:
|
1977 |
| Pages:
|
220-241 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A35 |
| MSC:
|
35K60 |
| idZBL:
|
Zbl 0377.35036 |
| idMR:
|
MR0605665 |
| DOI:
|
10.21136/CMJ.1977.101462 |
| . |
| Date available:
|
2008-06-09T14:22:58Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101462 |
| . |
| Reference:
|
[1] K. Rektorys: On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables.Czech. Math. J., 21 (96) 1971, 318-339. Zbl 0217.41601, MR 0298237 |
| Reference:
|
[2] J. Kačur: Method of Rothe and nonlinear parabolic equations of arbitrary order. I, II.Czech. Math. J., to appear. |
| Reference:
|
[3] J. Nečas: Application of Rothe's method to abstract parabolic equations.Czech. Math. J., Vol. 24 (99) (1974), No 3, 496-500. Zbl 0311.35059, MR 0348571 |
| Reference:
|
[4] J. Kačur: Application of Rothe's method to nonlinear evolution equations.Mat. Časopis Sloven. Akad. Vied, 25, 1975, No 1, 63-81. Zbl 0298.34058, MR 0394344 |
| Reference:
|
[5] E. Rothe: Zweidimensionale parabolische Randwertaufgaben als Grenzfall eindimensionaler Randwertaufgaben.Math. Ann. 102, 1930. MR 1512599, 10.1007/BF01782368 |
| Reference:
|
[6] A. M. Ильин А. С. Калашников О. А. Олейник: Линейные уравнения второго порядка параболического типа.УМH 17, вып. 3, 1962, 3-146. Zbl 1226.30001, MR 0146454 |
| Reference:
|
[7] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Prague, 1967. MR 0227584 |
| Reference:
|
[8] J. L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéaires.Paris, 1969. Zbl 0189.40603, MR 0259693 |
| Reference:
|
[9] Л. A. Люстерник В. И. Соболев: Элементы функционального анализа.Москва 1965. Zbl 1225.00032 |
| Reference:
|
[10] K. Yosida: Functional analysis.Springer-Verlag, 1965. Zbl 0126.11504 |
| Reference:
|
[11] J. Douglas T. Dupond: Galerkin methods for parabolic equations.SIAM J. Numer. Anal., vol. 7, N-4, December 1970. MR 0277126, 10.1137/0707048 |
| Reference:
|
[12] H. Gajewski K. Gröger K. Zacharias: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen.Berlin, 1974. MR 0636412 |
| . |
