Far-field patterns of solutions of the perturbed Dirac equation

The purpose of the paper is to study the asymptotic behavior at infinity of solutions of a perturbed Dirac equation in Rm called k‐monogenic. Every such solution is a solution of the Helmholtz equation with values in a complex Clifford algebra. The main goal is to use the far‐field pattern to charac...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 36; no. 11; pp. 1376 - 1387
Main Authors Marmolejo-Olea, Emilio, Pérez-Esteva, Salvador
Format Journal Article
LanguageEnglish
Published Freiburg Blackwell Publishing Ltd 30.07.2013
Wiley Subscription Services, Inc
Subjects
Algebra
Asymptotic properties
Cauchy operator
Clifford algebras
Clifford analysis
Dirac equation
Dirac operator
Functions (mathematics)
Helmholtz equations
Helmholtz operator
Mathematical analysis
Maxwell system
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Summary:The purpose of the paper is to study the asymptotic behavior at infinity of solutions of a perturbed Dirac equation in Rm called k‐monogenic. Every such solution is a solution of the Helmholtz equation with values in a complex Clifford algebra. The main goal is to use the far‐field pattern to characterize the radiating (outgoing) k‐monogenic functions among the radiating solutions of the Helmholtz equation. It will be shown that an algebraic condition characterizes these far‐field patterns. Copyright © 2012 John Wiley & Sons, Ltd.
Bibliography:Mexican project - No. PAPIIT-UNAM IN100512
ArticleID:MMA2691
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SourceType-Scholarly Journals-1
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content type line 23
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.2691