Global Attractor for Doubly Nonlinear Parabolic Equation

الملخص EN

Our aim in this paper is to study the long-time behavior for a class of doubly nonlinear parabolic equations.

First we show that the problem has a unique solution.

Then we prove that the semigroup corresponding to the problem is norm-to-weak continuous in Lq and H01.

Finally we establish the existence of global attractor of the problem in Lq and H01.