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arxiv: 1301.0147 · v1 · pith:2DDTKALDnew · submitted 2013-01-01 · 🧮 math.PR · math-ph· math.AP· math.MP

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

Xicheng Zhang This is my paper
classification 🧮 math.PR math-phmath.APmath.MP
keywords anisotropicdissipativityfokker-planckfundamentalkineticnonlocaltermallowed
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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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