The existence of global attractors for a class of reaction-diffusion equations with distribution derivatives terms in Rn

We consider the existence of global attractors for a class of semilinear reaction-diffusion equations{∂u∂t−Δu+u−V(x)g(u)+f(u)=Dihi+hin Rn×R+,u(x,0)=u0(x)in Rn, in the whole space, with weighted terms and some distribution derivatives in inhomogeneous terms. Using the measure of non-compactness method, we prove the existence of global attractors in proper spaces.