Please use this identifier to cite or link to this item: doi:10.22028/D291-26201
Title: On the periodic Wigner-Poisson-Fokker-Planck system
Author(s): Arnold, Anton
Carrillo, Jose A.
Dhamo, Elidon
Language: English
Year of Publication: 2002
Free key words: diffusive quantum system
semigroup theory
DDC notations: 510 Mathematics
Publikation type: Preprint
Abstract: 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.
Link to this record: urn:nbn:de:bsz:291-scidok-43763
hdl:20.500.11880/26257
http://dx.doi.org/10.22028/D291-26201
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 50
Date of registration: 1-Dec-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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