A representation of acoustic waves in unbounded domains

Bradley K. Alpert, Yu Chen

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)1358-1374
Number of pages17
JournalCommunications on Pure and Applied Mathematics
Volume58
Issue number10
DOIs
StatePublished - Oct 2005

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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