Asymptotic Behavior for a Nonlocal Diffusion Equation in Domains with Holes

C. Cortazar, M. Elgueta, F. Quiros +1

The paper deals with the asymptotic behavior of solutions to a non-local diffusion equation, $u_t=J\ast u-u:=Lu$, in an exterior domain, $\Omega$, which excludes one or several holes, and w…