Friday, January 4, 2013

1301.0147 (Xicheng Zhang)

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

Xicheng Zhang
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.
View original: http://arxiv.org/abs/1301.0147

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