On the scattering frequencies of time‐dependent potentials
- 1 January 1986
- journal article
- research article
- Published by Wiley in Mathematical Methods in the Applied Sciences
- Vol. 8 (1) , 576-584
- https://doi.org/10.1002/mma.1670080137
Abstract
This paper discusses the scattering frequencies associated with the scalar wave equation and a time‐periodic, real, potential. It is shown that the scattering frequencies form a discrete set in the complex plane and depend continuously on the potential. Existence of the scattering frequencies is proved for periodic potentials which are perturbations of a time independent, nonnegative, potential.Keywords
This publication has 3 references indexed in Scilit:
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- Decaying modes for the wave equation in the exterior of an obstacleCommunications on Pure and Applied Mathematics, 1969
- Meromorphic families of compact operatorsArchive for Rational Mechanics and Analysis, 1968