Radiation conditions and integral representations for Clifford algebra-valued null-solutions of the Helmholtz operator

DOI10.1007/s10958-018-3826-9zbMath1395.78015OpenAlexW4233326272MaRDI QIDQ1645338

Marius Mitrea, Dorina Mitrea, Irina Mitrea, Emilio Marmolejo Olea

Publication date: 28 June 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3826-9

zbMATH Keywords

Sommerfeld radiation conditionsClifford algebra-valued null-solutions of the Helmholtz operatorSilver-Müller radiation conditions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Functions of hypercomplex variables and generalized variables (30G35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Clifford algebras, spinors (15A66) Electromagnetic theory (general) (78A25) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

Related Items

Radiation Conditions and Integral Representations for Clifford Algebra-Valued Null-Solutions of the Iterated Helmholtz Operator, Compactness, or lack thereof, for the harmonic double layer, Higher dimensional transmission problems for Dirac operators on Lipschitz domains

Uses Software

• DLMF

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