Hong Duc University Journal of Science, S. 5 (2019)

Cỡ chữ:  Nhỏ  Vừa  Lớn

LONG-TIME BEHAVIOR OF SOLUTIONS TO A QUASILINEAR PARABOLIC EQUATION

Mai Xuan Thao, Bui Khac Thien

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.


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