| Title:
|
$C^\alpha$-regularity results for quasilinear parabolic systems (English) |
| Author:
|
Bensoussan, Alain |
| Author:
|
Frehse, Jens |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
453-474 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B65 |
| MSC:
|
35D10 |
| MSC:
|
35K40 |
| MSC:
|
35K55 |
| idZBL:
|
Zbl 0726.35032 |
| idMR:
|
MR1078480 |
| . |
| Date available:
|
2008-06-05T21:44:54Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106881 |
| . |
| Reference:
|
[1] Aronson D. G.: Bounds for fundamental solution of a parabolic equation.Bull. Amer. Math. Soc. 73 (1968), 890-896. MR 0217444 |
| Reference:
|
[2] Bensoussan A., Frehse J.: Nonlinear elliptic systems in stochastic game theory.Journ. Reine u. Angew. Math. 350 (1984), 23-67. Zbl 0531.93052, MR 0743532 |
| Reference:
|
[3] Campanato S.: Equazioni paraboliche del secondo ordine e spazi $L^{2,0}(Ω,δ)$.Ann. Matem. Pura Appl. (4) 73 (1966), 55-102. MR 0213737 |
| Reference:
|
[4] Da Prato G.: Spazi $L^{p,0}$ e loro proprietà.Ann. Matem. Pura Appl. 69 (1965), 383-392. MR 0192330 |
| Reference:
|
[5] Frehse J.: Interpolation und Regularität bei Lösungen elliptischer Differentialungleichungen.Zeitschr. Angew. Math. u. Mech. 62 (1982), T227-T228. Zbl 0563.35029, MR 0677312 |
| Reference:
|
[6] Giaquinta M., Struwe M.: An optimal regularity result for a class of quasilinear parabolic systems.Manuscripta math. 36 (1981), 223-239. Zbl 0475.35026, MR 0641975 |
| Reference:
|
[7] Kufner A., John O., Fučík S.: Function Spaces.Academia, Praha 1977. MR 0482102 |
| Reference:
|
[8] Ladyženskaya O. A., Solonnikov V. A., Ural'seva N. N.: Linear and quasilinear equations of parabolic type.AMS, Providence, R.I., Transl. Math. Monogr. 23 (1968). |
| Reference:
|
[9] Struwe M.: A counterexample in regularity theory for parabolic systems.Czech. Math. Journal 34 (109) (1984), 183-188. Zbl 0573.35053, MR 0743484 |
| Reference:
|
[10] Struwe M.: On the Hölder continuity of bounded weak solutions of quasilinear parabolic equations.Comm. Pure Appl. Math. 21 (1968), 205-226. |
| . |
