Existência e semicontinuidade superior de atratores globais para uma classe de equações de evolução não local.

Abstract

In this work we study the existence of a global attractor for the flow generated by nonlocal evolution equation ∂u(x, t)∂t = −h(x)u(x, t) + g(KJ u(x, t)) + f(x, u(x, t)), in the phase space Lp(Ω), where Ω is a bounded domain and smooth in RN . Further more, we prove and upper semicontinuity of global attractors with respect to the pa rameters h, J and f present in the equation.