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Matematicheskie Zametki, 2020, Volume 108, Issue 2, Pages 171–178
DOI: https://doi.org/10.4213/mzm12467 (Mi mzm12467) 		 
Radiation Conditions for the Magnetic Helmholtz Equation

A. R. Alievab, Sh. Sh. Radzhabovb

a Azerbaijan State University of Oil and Industry
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
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DOI: https://doi.org/10.4213/mzm12467
Abstract: 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.
Keywords: Helmholtz equation, magnetic Helmholtz operator, self-adjointness, radiation conditions, magnetic Sobolev space, magnetic Hardy inequality, diamagnetic inequality.
Received: 03.06.2019
English version:
Mathematical Notes, 2020, Volume 108, Issue 2, Pages 155–161
DOI: https://doi.org/10.1134/S0001434620070160
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. R. Aliev, Sh. Sh. Radzhabov, “Radiation Conditions for the Magnetic Helmholtz Equation”, Mat. Zametki, 108:2 (2020), 171–178; Math. Notes, 108:2 (2020), 155–161
Citation in format AMSBIB
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