Non-local diffusion equations with L\'evy-type operators and divergence free drift
Analysis of PDEs
2012-12-14 v2
Abstract
We are interested in some properties related to the solutions of non-local diffusion equations with divergence free drift. Existence, maximum principle and a positivity principle are proved. In order to study Holder regularity, we apply a method that relies in the Holder-Hardy spaces duality and in the molecular characterisation of local Hardy spaces. In these equations, the diffusion is given by L\'evy-type operators with an associated L\'evy measure satisfying some upper and lower bounds.
Cite
@article{arxiv.1205.2834,
title = {Non-local diffusion equations with L\'evy-type operators and divergence free drift},
author = {Diego Chamorro},
journal= {arXiv preprint arXiv:1205.2834},
year = {2012}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1007.3919