Alpert, B.
and Chen, Y.
(2005),
Representation of Acoustic Waves in Unbounded Domains, Communications in Pure and Applied Mathematics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=150073 (Accessed May 9, 2026)
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Representation of Acoustic Waves in Unbounded Domains
Published
Author(s)
, Y Chen
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 Hilbert space of these waves and present examples of its computation.1 c 2005 Wiley PeriodicalsCitation
Communications in Pure and Applied Mathematics
Volume
LVIII
Pub Type
Journals
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Created January 1, 2005, Updated February 19, 2017