Electronic Journal of Qualitative Theory of Differential Equations (Sep 2004)
On the local integrability and boundedness of solutions to quasilinear parabolic systems
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.