Compound Riemann Hilbert Boundary Value Problems in Complex and Quaternionic Analysis

The aim of this paper is the study of a class of compound boundary value problems for the homogeneous Dirac equation in two and three dimensions where one of the two boundary conditions (linear conjugation) is loaded. It is shown how the lack of commutativity inherent in the quaternionic product, pa...

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Veröffentlicht in:	Advances in applied Clifford algebras 2017-06, Vol.27 (2), p.977-991
Hauptverfasser:	Bory Reyes, Juan, Tamayo Castro, Carlos Daniel, Blaya, Ricardo Abreu
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Boundary conditions Boundary value problems Commutativity Conjugation Dirac equation Mathematical and Computational Physics Mathematical Methods in Physics Physics Physics and Astronomy Theoretical
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Beschreibung
Zusammenfassung:	The aim of this paper is the study of a class of compound boundary value problems for the homogeneous Dirac equation in two and three dimensions where one of the two boundary conditions (linear conjugation) is loaded. It is shown how the lack of commutativity inherent in the quaternionic product, paradoxically relaxes the conditions to guarantee the solvability of considered problems. Some examples illustrating the results are presented.
ISSN:	0188-7009 1661-4909
DOI:	10.1007/s00006-016-0710-x