Attractors For A Class Of Parabolic Equations

In this thesis,we consider parabolic equations of the form: Where Ω is a bounded open domain in RN,Δλis an operator of the type:There are already some good results about the operator in the reference.In the ref-erence [4],the author apply semigroup methods to solve the attractor problem under sub-critical growth restriction on the non-linearity f. However,in this paper,we broad-en the limiting conditions of f to sup-critical growth restriction and use priori estimates methods for the proof.Finally,we prove global existence of solutions and the existence of the global attractor.