Abstract
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.
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