On dimension of attractors of differential inclusions and reaction-diffusion equations (Q1576834)

This paper deals with the large-time asymptotics of the semigroup generated by differential inclusions and reaction-diffusion equations. One of the main goals of this paper is to study finite-dimensionality of global attractors. The peculiarity of the problem under consideration is that the semigroup generated by a differential inclusion is not differentiable. Hence the authors improve several previous results for estimating the dimension of invariant sets, in order to apply them to global attractors of differential inclusions and reaction-diffusion equations with non-differentiable nonlinear term.