Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition (Q403874)
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scientific article; zbMATH DE number 6336230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition |
scientific article; zbMATH DE number 6336230 |
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Explicit solution of the Helmholtz equation in the exterior of nonclosed Lipschitz surfaces with an impedance boundary condition (English)
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29 August 2014
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The author considers the Helmholtz equation in the exterior of a non-closed Lipschitz surface in \(\mathbb{R}^3\) with impedance boundary conditions and natural conditions at infinity. It is shown that the problem has a unique solution in certain functional space. A representation of solution in terms of potentials is obtained.
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Helmholtz equation
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impedance boundary conditions
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