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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Yan, Y. On exterior boundary-value problems of the Helmholtz equation not deduced from waves. Lett Math Phys 34, 365–371 (1995). https://doi.org/10.1007/BF00750067
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DOI: https://doi.org/10.1007/BF00750067