Nonlocal diffusion equations with dynamical boundary conditions
Analysis of PDEs
2019-10-08 v1
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.
Cite
@article{arxiv.1910.02287,
title = {Nonlocal diffusion equations with dynamical boundary conditions},
author = {Pablo M. Berna and Julio D. Rossi},
journal= {arXiv preprint arXiv:1910.02287},
year = {2019}
}