LONG-TIME BEHAVIOR OF SOLUTIONS TO A QUASILINEAR PARABOLIC EQUATION

Tóm tắt

In this paper, we study the first initial boundary value problem for a class of quasilinear degenerate parabolic equations involving weighted p-Laplacian operators. The existence and uniqueness of a weak solution with respect to initial values is ensured by an application of the Faedo - Galerkin approximation and compact method. Moreover, the long-time behavior of solutions to that problem is considered via the concept of global attractors in various bi-spaces.