Attractors for reaction-diffusion equations on arbitrary unbounded domains
M. Prizzi, K. P. Rybakowski
Abstract
We prove existence of global attractors for parabolic equations of the form ut+β(x)u-Σij∂i(aij(x)∂j u)=f(x,u) with Dirichlet boundary condition on an arbitrary unbounded domain Ω in 3, without smoothness assumptions on aij(·) and ∂Ω.
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