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arXiv 1301.0147math.PRmath-phmath.APmath.MP
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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

Xicheng Zhang

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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