Entropy solutions to the fully non-local diffusion equations
Analysis of PDEs
2023-11-02 v1
Abstract
We consider the fully non-local diffusion equations with non-negative -data. Based on the approximation and energy methods, we prove the existence and uniqueness of non-negative entropy solutions for such problems. In particular, our results are valid for the time-space fractional Laplacian equations.
Cite
@article{arxiv.2311.00347,
title = {Entropy solutions to the fully non-local diffusion equations},
author = {Ying Li and Chao Zhang},
journal= {arXiv preprint arXiv:2311.00347},
year = {2023}
}