Acta mathematica scientia, Series B >
GLOBAL CLASSICAL SOLUTIONS FOR QUANTUM KINETIC FOKKER-PLANCK EQUATIONS
Received date: 2013-12-13
Revised date: 2014-03-10
Online published: 2015-01-20
Supported by
This research was supported by the National Natural Science Foundation of China (11371151).
We consider a class of nonlinear kinetic Fokker-Planck equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish the existence and convergence rate to the steady state of global classical solution to such kind of equations around the steady state.
LUO Lan, ZHANG XinPing . GLOBAL CLASSICAL SOLUTIONS FOR QUANTUM KINETIC FOKKER-PLANCK EQUATIONS[J]. Acta mathematica scientia, Series B, 2015 , 35(1) : 140 -156 . DOI: 10.1016/S0252-9602(14)60147-8
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