具有各向异性非局部耗散的动力学Fokker-Planck算子的基本解
Fundamental solution of kinetic Fokker-Planck operator with anisotropic nonlocal dissipativity
摘要:
利用概率方法(Malliavin演算)证明了具有各向异性非局部耗散的退化动力学Fokker-Planck方程光滑基本解的存在性,其中耗散项是各向异性Lévy过程的生成元,漂移项允许是立方增长的.
英文摘要:
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 Lévy process and the drift term is allowed to be cubic growth.
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