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arXiv · 1301.0147

Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity

Xicheng Zhang
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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.

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Xicheng Zhang. 2013-01-01. Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity. https://arxiv.org/abs/1301.0147

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