%0 Journal Article
%T Asymptotic Regularity and Exponential Attractors for Nonclassical Diusion Equations With Critical Exponent
%A Fanghong ZHANG
%A Lixia PAN
%J -
%D 2014
%R http://dx.doi.org/10.3968/4556 http://dx.doi.org/10.3968/pdf_9
%X In this paper, we consider the dynamical behavior of the nonclassical diffusion equation when nonlinearity is critical for both two cases: the forcing term belongs to H £¿1 (£¿) and L2 (£¿). For the case the forcing term only belongs to H £¿1 (£¿), based on the asymptotic regularity in Dynamical Systems: An International Journal, 26 (4), (2011), 391¨C400, we prove the existence of exponential attractors in weak topological space H 1 (£¿). For the case the forcing term belongs to L2 (£¿), we prove the asymptotic regularity of the solutions and exponential attractors.
%K Nonclassical diusion equations
%K Exponential attractors
%K Absorbing set
%K Asymptotic regularity
%K Critical exponent
%U http://cscanada.net/index.php/pam/article/view/4556