Geodesic
On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property
Commentationes Mathematicae Universitatis Carolinae, Tome 25 (1984) no. 3, pp. 445-457 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 35B65, 35D10, 35K15, 35K55 
@article{CMUC_1984_25_3_a4,
     author = {John, Old\v{r}ich and Star\'a, Jana},
     title = {On the regularity of the weak solution of {Cauchy} problem for nonlinear parabolic systems via {Liouville} property},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {445--457},
     year = {1984},
     volume = {25},
     number = {3},
     mrnumber = {775563},
     zbl = {0562.35048},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1984_25_3_a4/}
}
TY  - JOUR
AU  - John, Oldřich
AU  - Stará, Jana
TI  - On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1984
SP  - 445
EP  - 457
VL  - 25
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_1984_25_3_a4/
LA  - en
ID  - CMUC_1984_25_3_a4
ER  - 
%0 Journal Article
%A John, Oldřich
%A Stará, Jana
%T On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property
%J Commentationes Mathematicae Universitatis Carolinae
%D 1984
%P 445-457
%V 25
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_1984_25_3_a4/
%G en
%F CMUC_1984_25_3_a4
John, Oldřich; Stará, Jana. On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property. Commentationes Mathematicae Universitatis Carolinae, Tome 25 (1984) no. 3, pp. 445-457. http://geodesic.mathdoc.fr/item/CMUC_1984_25_3_a4/

[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. | MR | Zbl

[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

[3] M. GIAQUINTA M. STRUWE: On the partial regularity of weak solutions of nonlinear parabolic systems. Math. Z. 179 (1982), 437-451. | MR

[4] M. STRUWE: A counterexample in regularity theory for parabolic systems. Czech. Math. Journal (to appear). | MR | Zbl

[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

[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

[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

[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

[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

[10] M. MEIER: Liouville theorems for nonlinear elliptic equations and systems. Manuscripta Math. 29 (1979), 207-228. | MR | Zbl

[11] M. MEIER: Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions. Math. Z. 176 (1981), 123-133. | MR | Zbl

[12] O. JOHN: The interior regularity and the Liouville property for the quasilinear parabolio systems. Comment. Math. Univ. Carolinae 13 (1982), 685-690. | MR