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Dispersive effects in quantum kinetic equations Anton Arnold1
 

Summary: Dispersive effects in quantum kinetic equations
Anton Arnold1
, Elidon Dhamo2
, Chiara Manzini3
1 Institut f¨ur Analysis und Scientific Computing, Technische Universit¨at Wien
Wiedner Hauptstr. 8, A-1040 Wien, Austria
Email: arnold@aurora.anum.tuwien.ac.at
2 Institut f¨ur Numerische und Angewandte Mathematik, Universit¨at M¨unster
Einsteinstr. 62, D-48149 M¨unster, Germany
Email: dhamo@math.uni-muenster.de
3 Dipartimento di Matematica Applicata, Facolt`a di Ingegneria
Via S.Marta 3, I-50139 Firenze, Italy
Email: chiara.manzini@unifi.it
Last update: October 31, 2005
Key words: Wigner equation, Fokker-Planck operator, Poisson equation, dispersive
regularization.
AMS 2000 Subject Classification: 35A05, 35K55, 35Q40, 47B44, 81Q99, 81S30, 82D37
Abstract
This paper is concerned with a global-in-time well-posedness analysis for the Wigner-
Poisson-Fokker-Planck system, a kinetic evolution equation for an open quantum system

  

Source: Arnold, Anton - Institut für Analysis und Scientific Computing, Technische Universität Wien

 

Collections: Mathematics