Global L1 theory and regularity for the 3D nonlinear Wigner-Poisson-Fokker-Planck system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:198

Article

Cañizo, JA ; López, JL ; Nieto, J

关键词: open quantum system;    Wigner equation;    Fokker-Planck operator;    global solution;    Husimi transform;    elliptic regularization;   

DOI  :  10.1016/j.jde.2003.07.004

来源: Elsevier

【 摘 要 】

A global existence, uniqueness and regularity theorem is proved for the simplest Markovian Wigner-Poisson-Fokker-Planck model incorporating friction and dissipation mechanisms. The proof relies on Green function and energy estimates under mild formulation, making essential use of the Husimi function and the elliptic regularization of the Fokker-Planck operator. (C) 2003 Elsevier Inc. All rights reserved.

【 授权许可】

Free