WAVE FRONTS AND THE RADIATION PRINCIPLE-Reference-Cited by-同舟云学术

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WAVE FRONTS AND THE RADIATION PRINCIPLE

Published:2007-09 Issue:08 Volume:19 Page:805-821
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

EIDUS D.¹

Affiliation:

1. Department of Pure Mathematics, School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat-Aviv, Tel Aviv 69978, Israel

Abstract

We are concerned with the construction of Sommerfeld-type radiation conditions for stationary acoustic oscillations in inhomogeneous media with densities independent of r. It is shown that such radiation conditions exist iff there exists a one-parameter family of closed homothetic star-shaped (with respect to origin) wave fronts. These radiation conditions select the same solutions of the reduced wave equation as the limiting absorption principle.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X07003115

Reference6 articles.

1. On Sommerfeld radiation conditions for the diffraction problem with two unbounded media

2. C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The limiting absorption principle for an acoustic equation with a refraction coefficient vanishing at infinity;Asymptotic Analysis;2009

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