Long Time Asymptotics of Solutions to the Anharmonic Oscillator Model from Nonlinear Optics
نویسنده
چکیده
The anharmonic oscillator model desribing the propagation of electromagnetic waves in an exterior domain containing a nonlinear dielectric medium is investigated. Local decay of the electromagnetic eld for t ! 1 in the charge free case is shown. If the potential of the oscillating particles is in addition convex it is shown that for arbitrary initial states the electromagnetic eld converges for t ! 1 to an electrostatic eld determined by the initial data and the prescribed external current.
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 32 شماره
صفحات -
تاریخ انتشار 2000