Global-in-Time L^(p)-L^(q) Estimates for Solutions of the Kramers-Fokker-Planck Equation  

作　　者：Xue Ping Wang Lu Zhu 

机构地区：[1]Laboratoire de Mathématiques Jean Leray,UMR CNRS 6629,Universitéde Nantes,44322 Nantes Cedex 3,France [2]College of Science,Hohai University,210024 Nanjing,China

出　　处：《Communications in Mathematical Research》2022年第4期560-578,共19页数学研究通讯（英文版）

摘　　要：In this work,we prove an optimal global-in-time L^(p)-L^(q) 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→O_(+) is related to the sub-ellipticity with loss of one third derivatives of the Kramers-Fokker-Planck operator.

关 键 词：Global-in-time estimates nonselfadjoint operators kinetic equation Kramers-Fokker-Planck operator 

分 类 号：O175.8[理学—数学]