TY  - GEN
T1  - On the periodic Wigner-Poisson-Fokker-Planck system
A1  - Arnold,Anton
A1  - Carrillo,Jose A.
A1  - Dhamo,Elidon
Y1  - 2011/12/01
N2  - This paper is concerned with the existence and uniqueness analysis of global classical solutions of a diffusive quantum evolution equation with non-linear coupling to the Poisson equation. The main technical difficulty in the existence proof is to show that the quantum Fokker-Planck term is a semigroup-generator in a weighted L^{2}-space. The potential term is then a Lipschitz-perturbation of it.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2011/4376
ER  -