典型文献
Global-in-Time Lp—Lq Estimates for Solutions of the Kramers-Fokker-Planck Equation
文献摘要：
In this work,we prove an optimal global-in-time Lp-Lq estimate for solutions to the Kramers-Fokker-Planck equation with short range potential in dimension three.Our result shows that the decay rate as t →+∞ is the same as the heat equation in x-variables and the divergence rate as t → 0+is related to the sub-ellipticity with loss of one third derivatives of the Kramers-Fokker-Planck operator.
文献关键词：
中图分类号：
作者姓名：
Xue Ping Wang;Lu Zhu
作者机构：
Laboratoire de Mathématiques Jean Leray,UMR CNRS 6629,Université de Nantes,44322 Nantes Cedex 3,France;College of Science,Hohai University,210024 Nanjing,China
文献出处：
引用格式：
[1]Xue Ping Wang;Lu Zhu-.Global-in-Time Lp—Lq Estimates for Solutions of the Kramers-Fokker-Planck Equation)[J].数学研究通讯,2022(04):560-578
A类：
0+is
B类：
Global,Time,Lp,Lq,Estimates,Solutions,Kramers,Fokker,Planck,Equation,In,this,work,we,prove,optimal,global,estimate,solutions,equation,short,range,potential,dimension,three,Our,result,shows,that,decay,rate,as,same,heat,variables,divergence,related,sub,ellipticity,loss,one,third,derivatives,operator
AB值：
0.600962
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