Exponential Attractors in Strong Topology Space for a Nonclassical Diffusion Equation

Abstract

In this article,we study the existence of exponential attractors in the strong topology space H~2(Ω) n H_0~1(Ω) for the nonclassical Diffusion Equation u_t — △_ut- △_u = f(u) + g(x) with critical exponent.In particular,after proving the existence of exponential attractors,we know that the global attractor in the strong topology space in[7,12,14]with finiteness of fractal dimension.