| Title:
|
A generalized maximum principle and estimates of max vrai $u$ for nonlinear parabolic boundary value problems (English) |
| Author:
|
Kačur, Jozef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
26 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
507-526 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35K60 |
| idZBL:
|
Zbl 0344.35049 |
| idMR:
|
MR0477475 |
| DOI:
|
10.21136/CMJ.1976.101425 |
| . |
| Date available:
|
2008-06-09T14:20:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101425 |
| . |
| Reference:
|
[1] J. Kаčur : Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order. (I, II). |
| Reference:
|
[2] J. Kаčur: Application of Rothe's method to nonlinear evolution equations.Mat. Časopis Sloven. Akad. Vied, 25, (1975), N-1, 63-81. MR 0394344 |
| Reference:
|
[3] П. П. Мосолов: Вариационные методы в нестационарных задачах.(Параболический случай) Изв. АН СССР, 34 (№ 1970), 425-457. Zbl 1170.92319, MR 0270245 |
| Reference:
|
[4] 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. Journal, 21 (96) 1971, 318-339. Zbl 0217.41601, MR 0298237 |
| Reference:
|
[5] O. A. Ладыженская: Решение в целом первой краевой задачи для квазилинейных парабoлических уравнений.ДАН СССР 107. 1956, 635-639. Zbl 0075.23003 |
| Reference:
|
[6] J. Kаčur: On existence of the weak solution for non-linear partial differential equations of elliptic type. I.Comment. Math. Univ. Carolinae, 11, 1 (1970), 137-181. MR 0301357 |
| Reference:
|
[7] J. Kаčur: On existence of the weak solution for non-linear partial differential equations of elliptic type. II.Comment. Math. Univ. Carolinae, 13, 2 (1972), 211 - 225. MR 0308590 |
| Reference:
|
[8] J. Nečas: Les méthodes directes en théorie équations elliptiques.Prague, 1967. MR 0227584 |
| Reference:
|
[9] A. Friedman: Partial differential equations of parabolic type.Prentice-Hall, INC, 1964. Zbl 0144.34903, MR 0181836 |
| Reference:
|
[10] O. A. Ладыженcкая В. А. Солонников Н. Н. Уральцева: Линейные и квазилинейные уравнения параболического типа.,,Наука", Москва 1967. Zbl 1204.62024 |
| Reference:
|
[11] J. Kаčur: On boundedness of the weak solution for some class of quasilinear partial differential equations.Časopis Pěst. Mat., 98 (1973), 43 - 55. MR 0316889 |
| Reference:
|
[12] M. A. Красносельский: Топологические методы в теории нелинейных интегральных уравнений.Москва, 1956. Zbl 0995.90522 |
| . |
