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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves


Authors: Xiaobing Feng and Dongwoo Sheen
Journal: Trans. Amer. Math. Soc. 346 (1994), 475-487
MSC: Primary 35L05; Secondary 35B40, 35J99
MathSciNet review: 1282886
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Abstract: We consider a sequence of noncoercive elliptic problems, which are the wave equation in the frequency domain, in a rectangular or cubic domain with an absorbing boundary condition. The elliptic regularity coefficient depends on the frequency, and it has a singularity for both zero and infinite frequency. In this paper we derive an elliptic regularity estimate as the frequency tends to zero and infinity.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1282886-6
PII: S 0002-9947(1994)1282886-6
Keywords: frequency domain, Helmholtz equation, double layer potential
Article copyright: © Copyright 1994 American Mathematical Society