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2005-11-07Buch DOI: 10.18452/2655
Large time asymptotics of solutions to the anharmonic oscillator model from nonlinear optics
Jochmann, Frank
The anharmonic oscillator model describing the propagation of electromagnetic waves in an exterior domain containing a nonlinear dielectric medium is investigated. The system under consideration consists of a generally nonlinear second order differential equation for the dielectrical polarization coupled with Maxwell's equations for the electromagnetic field. Local decay of the electromagnetic field for t to infinity in the charge free case is shown for a large class of potentials. (This paper has been accepted for publication in the SIAM Journal on Mathematical Analysis.)
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DOI
10.18452/2655
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