Continuity of attractors for parabolic problems with localized large diffusion
In this paper we study the continuity of asymptotics of semilinear parabolic problems of the
form in a bounded smooth domain Ω⊂ Rn with Dirichlet boundary conditions when the
diffusion coefficient p becomes large in a subregion Ω0 which is interior to the physical
domain Ω. We prove, under suitable assumptions, that the family of attractors behave upper
and lower semicontinuously as the diffusion blows up in Ω0.
form in a bounded smooth domain Ω⊂ Rn with Dirichlet boundary conditions when the
diffusion coefficient p becomes large in a subregion Ω0 which is interior to the physical
domain Ω. We prove, under suitable assumptions, that the family of attractors behave upper
and lower semicontinuously as the diffusion blows up in Ω0.
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