| Title:
|
A note on regular points for solutions of parabolic systems (English) |
| Author:
|
Viszus, Eugen |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
557-563 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A vector valued function $u=u(x,t)$, solution of a quasilinear parabolic system cannot be too close to a straight line without being regular. (English) |
| Keyword:
|
regularity of weak solutions |
| Keyword:
|
parabolic systems |
| MSC:
|
35D10 |
| MSC:
|
35K35 |
| MSC:
|
35K50 |
| MSC:
|
35K55 |
| idZBL:
|
Zbl 0881.35055 |
| idMR:
|
MR1426920 |
| . |
| Date available:
|
2009-01-08T18:26:04Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118862 |
| . |
| Reference:
|
[1] Giusti E., Modica G.: A note on regular points for solutions of elliptic systems.Manusc. Math. 29 (1979), 417-426. Zbl 0419.35015, MR 0545051 |
| Reference:
|
[2] Giusti E.: Regolarita partiale delle soluzioni di sistemi ellittici quasilineari di ordine arbitrario.Ann. Scuola Norm. Sup. Pisa 23 (1969), 115-141. MR 0247258 |
| Reference:
|
[3] Campanato S.: Equazioni paraboliche del secondo ordine e spazi ${\Cal L}^{2,\Theta}{(Ømega,\delta)}$.Ann. Mat. Pura Appl. 73 (1966), 55-102. MR 0213737 |
| Reference:
|
[4] Giaquinta M., Giusti E.: Partial regularity for the solutions to nonlinear parabolic systems.Ann. Mat. Pura Appl. 47 (1973), 253-266. Zbl 0276.35062, MR 0338568 |
| Reference:
|
[5] Ladyzhenskaya O.A., Solonnikov V.A., Uralceva N.N.: Linear and quasilinear equations of parabolic type.Translations of Math. Monographs 23, Providence, Rhode Island: AMS 1968. |
| Reference:
|
[6] Giaquinta M., Struwe M.: On the partial regularity of weak solutions of nonlinear parabolic systems.Math. Z. 179 (1982), 437-451. MR 0652852 |
| . |
