Heat kernel of anisotropic nonlocal operators
Analysis of PDEs
2017-04-13 v1 Probability
Abstract
We construct and estimate the fundamental solution of highly anisotropic space-inhomogeneous integro-differential operators. We use the Levi method. We give applications to the Cauchy problem for such operators.
Keywords
Cite
@article{arxiv.1704.03705,
title = {Heat kernel of anisotropic nonlocal operators},
author = {Krzysztof Bogdan and Paweł Sztonyk and Victoria Knopova},
journal= {arXiv preprint arXiv:1704.03705},
year = {2017}
}
Comments
51 pages