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Radiation Conditions for the Magnetic Helmholtz Equation

It is proved that, to select a uniqueness class for the magnetic Helmholtz equation, it suffices to impose radiation conditions weaker than the Ikebe–Saito conditions. The self-adjointness of the magnetic Helmholtz operator is proved. The existence of a solution of the inhomogeneous Helmholtz equati...

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Bibliographic Details
Published in:Mathematical Notes 2020-07, Vol.108 (1-2), p.155-161
Main Authors: Aliev, A. R., Rajabov, Sh. Sh
Format: Article
Language:English
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Summary:It is proved that, to select a uniqueness class for the magnetic Helmholtz equation, it suffices to impose radiation conditions weaker than the Ikebe–Saito conditions. The self-adjointness of the magnetic Helmholtz operator is proved. The existence of a solution of the inhomogeneous Helmholtz equation satisfying the radiation condition is justified.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434620070160