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: | Other |
| 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 |
Files for this record:
| File | Description | Size | Format | |
|---|---|---|---|---|
| preprint_50_02.pdf | 227,97 kB | Adobe PDF | View/Open |
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