Ciprian Gal
Florida International University

Reaction-Diffusion Equations with Fractional Diffusion on Non-Smooth Domains with Various Boundary Conditions

Abstract
I will discuss the long term behavior in terms of finite dimensional global attractors and (global) asymptotic stabilization to steady states, as time goes to infinity, of solutions to non-local semilinear reaction-diffusion equation associated with the fractional Laplace operator on non-smooth domains subject to Dirichlet, fractional Neumann and Robin boundary conditions.
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