Coupling local and nonlocal equations with Neumann boundary conditions
Analysis of PDEs
2021-12-02 v1
Abstract
We introduce two different ways of coupling local and nonlocal equations with Neumann boundary conditions in such a way that the resulting model is naturally associated with an energy functional. For these two models we prove that there is a minimizer of the resulting energy that is unique modulo adding a constant.
Keywords
Cite
@article{arxiv.2112.00120,
title = {Coupling local and nonlocal equations with Neumann boundary conditions},
author = {Gabriel Acosta and Francisco Bersetche and Julio Rossi},
journal= {arXiv preprint arXiv:2112.00120},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2107.05083