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Global solutions of the mean-field, very high temperature Caldeira-Leggett master equation
Author(s):
José
Luis
López;
Juanjo
Nieto
Journal:
Quart. Appl. Math.
64
(2006),
189-199.
MSC (2000):
Primary 35Q40, 35S10, 81Q99, 81V99
Posted:
January 24, 2006
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Abstract:
In this paper, global well-posedness as well as regularity of very high temperature Caldeira-Leggett models with repulsive Poisson coupling are proved by using Green function techniques and Fokker-Planck smoothing arguments along with kinetic energy and elliptic estimates.
References:
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Additional Information:
José
Luis
López
Affiliation:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Email:
jllopez@ugr.es
Juanjo
Nieto
Affiliation:
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
Email:
jjmnieto@ugr.es
PII:
S0033-569X-06-01005-3
Keywords:
Open quantum system,
quantum dissipation,
Fokker--Planck operator,
Wigner equation,
Caldeira--Leggett equation,
Lindblad class,
global solution
Received by editor(s):
August 16, 2005
Posted:
January 24, 2006
Copyright of article:
Copyright
2006,
Brown University
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