Anisotropic nonlocal diffusion equations with singular forcing
Analysis of PDEs
2018-12-20 v2
Abstract
We prove existence, uniqueness and regularity of solutions of nonlocal heat equations associated to anisotropic stable diffusion operators. The main features are that the right-hand side has very few regularity and that the spectral measure can be singular in some directions. The proofs require having good enough estimates for the corresponding heat kernels and their derivatives.
Cite
@article{arxiv.1810.07499,
title = {Anisotropic nonlocal diffusion equations with singular forcing},
author = {Arturo de Pablo and Fernando Quirós and Ana Rodríguez},
journal= {arXiv preprint arXiv:1810.07499},
year = {2018}
}