Singularities of two-dimensional exterior solutions of the Helmholtz equation
1971 ◽
Vol 69
(1)
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pp. 175-188
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Keyword(s):
AbstractA technique for locating possible singularities of two-dimensional ex-terior harmonic functions was discussed in a previous paper. In the present work, the method is generalized to exterior solutions of the Helmholtz equation. Although the procedure deviates in some of its details from the earlier exposition, the conclusions are similar. In particular, it is verified that solutions of the Laplace and Helmholtz equations that satisfy the same Dirichlet boundary condition on the same boundary, possess the same convex hull of singularities. The possibility of extending the method to more general equations is raised.
1999 ◽
Vol 09
(05)
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pp. 909-918
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2016 ◽
Vol 435
(1)
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pp. 917-943
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2021 ◽
Vol 2021
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pp. 1-9
2018 ◽
Vol 54
(1)
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pp. 130-138
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2019 ◽
Vol 34
(29)
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pp. 1950176
2018 ◽
Vol 20
(3)
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pp. 333-345