| Title:
|
On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property (English) |
| Author:
|
John, Oldřich |
| Author:
|
Stará, Jana |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
25 |
| Issue:
|
3 |
| Year:
|
1984 |
| Pages:
|
445-457 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B65 |
| MSC:
|
35D10 |
| MSC:
|
35K15 |
| MSC:
|
35K55 |
| idZBL:
|
Zbl 0562.35048 |
| idMR:
|
MR775563 |
| . |
| Date available:
|
2008-06-05T21:19:03Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106319 |
| . |
| Reference:
|
[1] S. CAMPANATO: Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth.Rend. Sem. Mat. Univ. Padova, Vol. 64 (1981), 60-75. Zbl 0496.35012, MR 0636626 |
| Reference:
|
[2] M. GIAQUINTA E. GIUSTI: Partial regularity for the solutions to nonlinear parabolic systems.Annali di Matematica Pura ed Appl. 97 (1973), 253-266. MR 0338568 |
| Reference:
|
[3] M. GIAQUINTA M. STRUWE: On the partial regularity of weak solutions of nonlinear parabolic systems.Math. Z. 179 (1982), 437-451. MR 0652852 |
| Reference:
|
[4] M. STRUWE: A counterexample in regularity theory for parabolic systems.Czech. Math. Journal (to appear). Zbl 0573.35053, MR 0743484 |
| Reference:
|
[5] M. GIAQUINTA J. NEČAS: On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property.Comment. Math. Univ. Carolinae 20 (1979), 111-121. MR 0526152 |
| Reference:
|
[6] M. GIAQUINTA J. NEČAS: On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations.J. reine angew. Math. 316 (1980), 140-159. MR 0581329 |
| Reference:
|
[7] M. GIAQUINTA J. NEČAS O. JOHN J. STARÁ: On the regularity up to the boundary for second order nonlinear elliptic systems.Pacific J. of Math. 99 (1982), 1-17. MR 0651482 |
| Reference:
|
[8] B. KAWOHL: On Liouville theorems, continuity and Hölder continuity of weak solution to some quasillnear elliptic systems.Comment. Math. Univ. Carolinae 21 (1980), 679-697. MR 0597758 |
| Reference:
|
[9] S. HILDEBRANDT K. O. WIDMAN: Sätze von Liouvillesohen Typ für quasilineare elliptisohe Gleichungen und Systeme.Nach. Akad. Wiss. Göttingen, II. Math. Klasse, 4 (1979), 41-59. MR 0568802 |
| Reference:
|
[10] M. MEIER: Liouville theorems for nonlinear elliptic equations and systems.Manuscripta Math. 29 (1979), 207-228. Zbl 0426.35034, MR 0545042 |
| Reference:
|
[11] M. MEIER: Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions.Math. Z. 176 (1981), 123-133. Zbl 0454.35034, MR 0606175 |
| Reference:
|
[12] O. JOHN: The interior regularity and the Liouville property for the quasilinear parabolio systems.Comment. Math. Univ. Carolinae 13 (1982), 685-690. MR 0687563 |
| . |
