Stability Estimates for Obstacle Scattering
β Scribed by A.G. Ramm
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 285 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
A stability estimate is obtained for obstacle scattering and for potential scattering by strongly singular potentials which may be infinite on sets of positive measure. A new asymptotic estimate for the scattering amplitude is obtained. 1994 Academic Press, Inc.
π SIMILAR VOLUMES
It follows trivially from old results of Majda and Lax Phillips that connected obstacles K with real analytic boundary in R n are uniquely determined by their scattering length spectrum. In this paper we prove a similar result in the general case (i.e. K may be disconnected) imposing some non-degene
## Abstract A generalized mode matching method that applies to a wide class of scattering problems is developed in the time harmonic twoβdimensional Helmholtz case. This method leads by variational means to an integroβdifferential formulation whose unknown is the trace of the field on an unbounded