| Title:
|
A counterexample in regularity theory for parabolic systems (English) |
| Author:
|
Struwe, Michael |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1984 |
| Pages:
|
183-188 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B65 |
| MSC:
|
35K60 |
| idZBL:
|
Zbl 0573.35053 |
| idMR:
|
MR743484 |
| DOI:
|
10.21136/CMJ.1984.101942 |
| . |
| Date available:
|
2008-06-09T14:59:08Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101942 |
| . |
| Reference:
|
[1] Frehse J.: A discontinuous solution of a mildly nonlinear elliptic system.Math. Z. 134, 229-230 (1973). Zbl 0267.35038, MR 0344673, 10.1007/BF01214096 |
| Reference:
|
[2] Giaquinta M., M. Struwe: An optimal regularity result for quasilinear parabolic systems.manusc. math. 36, 223-239 (1981). MR 0641975, 10.1007/BF01170135 |
| Reference:
|
[3] Heinz E.: On certain nonlinear elliptic differential equations and univalent mappings.J. Analyse math. 5, 197-272 (1956/57). MR 0136852 |
| Reference:
|
[4] Hildebrandt S., K.-O. Widman: Some regularity results for quasilinear elliptic systems of second order.Math. Z. 142, 67-86 (1975). Zbl 0317.35040, MR 0377273, 10.1007/BF01214849 |
| Reference:
|
[5] Ladyshenskaya O. A. V. A. Solonnikov, N. N. Ural'ceva: Linear and quasilinear equations of parabolic type.Transl. Math. Monographs 23, AMS, Providence, R. I. (1968). |
| Reference:
|
[6] Sampson J. H.: On the heat equation for harmonic maps.preprint. |
| Reference:
|
[7] Struwe M.: On the Holder continuity of bounded weak solutions of quasilinear parabolic systems.Manusc. math. 35, 125-145 (1981). MR 0627929, 10.1007/BF01168452 |
| . |
