Explicit structure of the Fokker-Planck equation with potential
QUARTERLY OF APPLIED MATHEMATICS(2019)
摘要
We study the pointwise (in the space and time variables) behavior of the Fokker-Planck equation with potential. An explicit description of the solution is given, including the large time behavior, initial layer, and spatially asymptotic behavior. Moreover, it is shown that the structure of the solution sensitively depends on the potential function.
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关键词
Fokker-Planck,fluid-like waves,kinetic-like waves,pointwise estimate,regularization estimate
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