The Existence Of Global Attractor For A Class Of Weighted P-Laplacian Evolution Equation

In this master's dissertation, we study the long time behavior of the solution of the weighted p-Laplacian evolution equation ut- div(a(x)|▽u|p-2▽u)+f(u)= g(x) and derive the existence of global attractor. we first prove existence and uniqueness of solutions to the equation by Galerkin method, when a(x) admits to have a finite number of zeros at some points inΩand the nonlinearity f satisfies a polynomial growth of arbitrary order,where g∈L2(Ω),2≤p