A Short Note on the Local Solvability of the Quaternionic Beltrami Equation

In this paper we discuss the local solvability of the inhomogeneous Beltrami equations in Quaternionic Analysis. We give an example of a Beltrami equation with no distributional solution and deduce the compatibility condition. This study is closely linked to the study of Dirac operators with non-con...

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Bibliographic Details
Published in:Advances in applied Clifford algebras 2014-12, Vol.24 (4), p.945-953
Main Authors: Bory Reyes, Juan, Cerejeiras, Paula, Guzmán Adán, Alí, Kähler, Uwe
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical
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Summary:In this paper we discuss the local solvability of the inhomogeneous Beltrami equations in Quaternionic Analysis. We give an example of a Beltrami equation with no distributional solution and deduce the compatibility condition. This study is closely linked to the study of Dirac operators with non-constant coefficients.
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-014-0494-9