On exterior boundary-value problems of the Helmholtz equation not deduced from waves |
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| Authors: | Yihua Yan |
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| Institution: | (1) Beijing Astronomical Observatory, Chinese Academy of Sciences, 100080 Beijing, P.R. China |
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| Abstract: | A boundary integral equation is applied to describe a special kind of exterior Helmholtz boundary-value problem that is not deduced from waves. Then the asymptotic property of O(r
–2) decay at infinity and the uniqueness of the solution as well as its finite energy property are discussed. |
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| Keywords: | 35J25 45E05 45M05 76W05 85A30 |
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