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The limiting amplitude principle for arbitrary finite bodies

✍ Scribed by Gathleen S. Morawetz

Publisher
John Wiley and Sons
Year
1965
Tongue
English
Weight
219 KB
Volume
18
Category
Article
ISSN
0010-3640

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πŸ“œ SIMILAR VOLUMES

The limiting amplitude principle
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✍ Cathleen S. Morawetz πŸ“‚ Article πŸ“… 1962 πŸ› John Wiley and Sons 🌐 English βš– 470 KB

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

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✍ A. I. Komech; A. E. Merzon πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 627 KB

## Abstract We consider a nonstationary scattering of plane waves by a wedge. We prove that the Sommerfeld‐type integral, constructed in (__Math. Meth. Appl. Sci.__ 2005; **28**:147–183; __Proc. Int. Seminar__ β€˜__Day on Diffraction‐2003__’, University of St. Petersburg, 2003; 151–162), is a classic