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Representation of Acoustic Waves in Unbounded Domains



Bradley K. Alpert, Y Chen


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 Periodicals
Communications in Pure and Applied Mathematics


Alpert, B. and Chen, Y. (2005), Representation of Acoustic Waves in Unbounded Domains, Communications in Pure and Applied Mathematics, [online], (Accessed May 28, 2024)


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Created January 1, 2005, Updated February 19, 2017