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 
@article{MZM_2020_108_2_a1,
     author = {A. R. Aliev and Sh. Sh. Radzhabov},
     title = {Radiation {Conditions} for the {Magnetic} {Helmholtz} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {171--178},
     publisher = {mathdoc},
     volume = {108},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_2_a1/}
}
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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/