Asymptotic behavior of a parabolic problem with terms concentrated in the boundary Original Research Article

We analyze the asymptotic behavior of the attractors of a parabolic problem when some reaction and potential terms are concentrated in a neighborhood of a portion ΓΓ of the boundary and this neighborhood shrinks to ΓΓ as a parameter εε goes to zero. We prove that this family of attractors is upper continuous at ε=0ε=0.