Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity
Probability
2013-01-03 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
By using the probability approach (the Malliavin calculus), we prove the existence of smooth fundamental solutions for degenerate kinetic Fokker-Planck equation with anisotropic nonlocal dissipativity, where the dissipative term is the generator of an anisotropic L\'evy process and the drift term is allowed to be cubic growth.
Keywords
Cite
@article{arxiv.1301.0147,
title = {Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity},
author = {Xicheng Zhang},
journal= {arXiv preprint arXiv:1301.0147},
year = {2013}
}
Comments
22pp