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arXiv · 1910.02287

Nonlocal diffusion equations with dynamical boundary conditions

Pablo M. Berna·Julio D. Rossi
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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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Pablo M. Berna, Julio D. Rossi. 2019-10-05. Nonlocal diffusion equations with dynamical boundary conditions. https://arxiv.org/abs/1910.02287

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