Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Decay of the electromagnetic field in a Maxwell Bloch system

Author: Frank Jochmann
Journal: Quart. Appl. Math. 65 (2007), 99-112
MSC (2000): Primary 35Q60; Secondary 35L40, 78A35
DOI: https://doi.org/10.1090/S0033-569X-07-01040-5
Published electronically: January 2, 2007
MathSciNet review: 2313150
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Abstract: This paper is concerned with the initial-boundary value problem for the Maxwell-Bloch system which describes the propagation of electromagnetic waves in a polarized quantum-mechanical medium with two energy levels. The main goal is the investigation of the large-time asymptotic behavior of the solutions if there are no relaxation terms in the equations governing the polarization field and the density.

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Additional Information

Frank Jochmann
Affiliation: Technische Universität Berlin, Fakultät II - Mathematik und Naturwissenschaften, Institut für Mathematik, Strasse des 17. Juni 136, 10623 Berlin, Germany
Email: jochmann@math.tu-berlin.de

DOI: https://doi.org/10.1090/S0033-569X-07-01040-5
Received by editor(s): March 27, 2006
Published electronically: January 2, 2007
Article copyright: © Copyright 2007 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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