On the regularity of weak solutions to parabolic systems in two spatial dimensions

Communications in Partial Differential Equations

Volumn 23, Issue 7-8, 1998, Pages 437-451

  John, Oldřich ^a   Stará, Jana ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039398554     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309808821382     Document Type: Article

References (8)

1. Nečas, J., Šverák, V., On regularity of solutions of nonlinear parabolic systems, Annali Scuol. Norm. Sup. Pisa XVIII (1991), no. 4, 1-11.
2. Giaquinta, M., Giusti, E., Partial regularity for the solutions to nonlinear parabolic systems, Annali di Mat. Pura et Appl. 97 ((1973)), 253-266.
3. Gröger, K., Rehberg, J., Local existence and uniqueness of solutions to nonsmooth parabolic systems, to appear.
4. Campanato, S., On the nonlinear parabolic systems in divergence form, Annali di Mat. Pura et Appl. 137 (1984), 83-122.
5. Koshelev, A. I., Regularity of solutions for some quasilinear parabolic systems. Math. Nachr. 162 (1993), 59-88.
6. Kalita, E., On the Hölder continuity of solutions of nonlinear parabolic systems, Comment. Math. Univ. Carolinae 35 (1994), no. 4, 675-680.
7. DiBenedetto, E., Degenerate parabolic systems, Springer Verlag, New York, 1993.
8. Giaquinta, M., Struwe, M., On the partial regularity of weak solutions to nonlinear parabolic systems, Math. Z. 179 (1982), 437-451.