| Title:
|
On the Hölder continuity of solutions of nonlinear parabolic systems (English) |
| Author:
|
Kalita, E. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
675-680 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Non-linear second order parabolic systems in the divergent form are considered. It is proved that under some restrictions on the modulus of ellipticity, all weak solutions are continuous. (English) |
| Keyword:
|
non-linear parabolic systems |
| Keyword:
|
weak solutions |
| Keyword:
|
regularity |
| MSC:
|
35B65 |
| MSC:
|
35D10 |
| MSC:
|
35K40 |
| MSC:
|
35K55 |
| idZBL:
|
Zbl 0814.35011 |
| idMR:
|
MR1321237 |
| . |
| Date available:
|
2009-01-08T18:14:14Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118708 |
| . |
| Reference:
|
[1] Kalita E.A.: On sharp exponent of smoothness of solutions to the second order elliptic systems (in Russian).Izvestija Vyshyh Uchebnych Zavedenij. Matematika (1992), 3 10-17. MR 1204810 |
| Reference:
|
[2] Koshelev A.I., Chelkak S.I.: Regularity of solutions of quasilinear elliptic systems.Teubner Leipzig (1985). Zbl 0581.35003, MR 0825485 |
| Reference:
|
[3] Koshelev A.I.: Regularity of solutions for some quasilinear parabolic systems.Math. Nachr. 162 (1993), 59-88. Zbl 0811.35064, MR 1239576 |
| Reference:
|
[4] Giaquinta M., Modica G.: Regularity results for some classes of higher order non linear elliptic systems.J. Reine Angew. Math. 311/312 145-169. Zbl 0409.35015, MR 0549962 |
| . |
