On the local integrability and boundedness of solutions to quasilinear parabolic systems

T. Giorgi, New Mexico State University, Las Cruces, U.S.A.
M. O'Leary, Towson University, Towson, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 14. (2004), pp. 1-14.

Communicated by P. Polacik. Received on 2003-10-01
Appeared on 2004-09-06

Abstract: We introduce a structure condition of parabolic type, which allows for the generalization to quasilinear parabolic systems of the known results of integrability, and boundedness of local solutions to singular and degenerate quasilinear parabolic equations.


You can download the full text of this paper in DVI, PostScript or PDF format.