Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativityReport as inadecuate



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


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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.



Author: Xicheng Zhang

Source: https://archive.org/







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