A representation of acoustic waves in unbounded domains

Bradley K. Alpert; Yu Chen

doi:10.1002/cpa.20072

A representation of acoustic waves in unbounded domains

Bradley K. Alpert, Yu Chen

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Compact, time-harmonic, acoustic sources produce waves that decay too slowly to be square-integrable on a line away from the sources. We introduce an inner product, arising directly from Green's second theorem, to form a Hubert space of these waves and present examples of its computation.

Original language	English (US)
Pages (from-to)	1358-1374
Number of pages	17
Journal	Communications on Pure and Applied Mathematics
Volume	58
Issue number	10
DOIs	https://doi.org/10.1002/cpa.20072
State	Published - Oct 2005

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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abstract = "Compact, time-harmonic, acoustic sources produce waves that decay too slowly to be square-integrable on a line away from the sources. We introduce an inner product, arising directly from Green's second theorem, to form a Hubert space of these waves and present examples of its computation.",

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A representation of acoustic waves in unbounded domains

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