Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion

Autor: Cowan, Craig, Smaily, Mohammad El, Feulefack, Pierre Aime
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we consider an elliptic problem driven by a mixed local-nonlocal operator with drift and subject to nonlocal Neumann condition. We prove the existence and uniqueness of a solution $u\in W^{2,p}(\Omega)$ of the considered problem with $L^p$-source function when $p$ and $s$ are in a certain range.
Comment: 18 pages
Databáze: arXiv