Nonlocal diffusion equations with dynamical boundary conditions

Published 5 Oct 2019 in math.AP | (1910.02287v1)

Abstract: In this paper we study nonlocal problems that are analogous to the local ones given by the Laplacian or the p-Laplacian with dynamical boundary conditions. We deal both with smooth and with singular kernels and show existence and uniqueness of solutions and study their asymptotic behaviour as t goes to infinity.

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