Geodesic
Radiation Conditions for the Magnetic Helmholtz Equation
Matematičeskie zametki, Tome 108 (2020) no. 2, pp. 171-178.

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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, magnetic Sobolev space, magnetic Hardy inequality, diamagnetic inequality.
Mots-clés : radiation conditions 
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A. R. Aliev; Sh. Sh. Radzhabov. Radiation Conditions for the Magnetic Helmholtz Equation. Matematičeskie zametki, Tome 108 (2020) no. 2, pp. 171-178. http://geodesic.mathdoc.fr/item/MZM_2020_108_2_a1/

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