In this paper a rigorous mathematical proof is given of the so-called limiting amplitude principle for reflecting bodies. This principle states that every solution of the wave equation with a harmonic forcing term, uniformly on bounded sets as t tends to infinity. Here V satisfies the reduced wave
Limiting Amplitude principle in the scattering by wedges
β Scribed by A. I. Komech; A. E. Merzon
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 627 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.719
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β¦ Synopsis
Abstract
We consider a nonstationary scattering of plane waves by a wedge. We prove that the Sommerfeldβtype integral, constructed in (Math. Meth. Appl. Sci. 2005; 28:147β183; Proc. Int. Seminar βDay on Diffractionβ2003β, University of St. Petersburg, 2003; 151β162), is a classical smooth solution from a functional space, and prove the Limiting Amplitude principle. Copyright Β© 2006 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
We consider a non-stationary scattering of plane waves by a wedge. We prove the Sommerfeld-type representation and uniqueness of solution to the Cauchy problem in appropriate functional spaces developing the general method of complex characteristics (Math.