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

Juan Bory Reyes; Paula Cerejeiras; Alí Guzmán Adán; Uwe Kähler

doi:10.1007/s00006-014-0494-9

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

Juan Bory Reyes, Paula Cerejeiras, Alí Guzmán Adán, Uwe Kähler

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

4 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	945-953
Número de páginas	9
Publicación	Advances in Applied Clifford Algebras
Volumen	24
N.º	4
DOI	https://doi.org/10.1007/s00006-014-0494-9
Estado	Publicada - 15 nov. 2014
Publicado de forma externa	Sí

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title = "A Short Note on the Local Solvability of the Quaternionic Beltrami Equation",

abstract = "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.",

keywords = "Quaternionic Beltrami equation, local solvability",

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AU - Bory Reyes, Juan

AU - Cerejeiras, Paula

AU - Guzmán Adán, Alí

AU - Kähler, Uwe

PY - 2014/11/15

Y1 - 2014/11/15

N2 - 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.

AB - 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.

KW - Quaternionic Beltrami equation

KW - local solvability

UR - http://www.scopus.com/inward/record.url?scp=85028119098&partnerID=8YFLogxK

U2 - 10.1007/s00006-014-0494-9

DO - 10.1007/s00006-014-0494-9

M3 - Artículo

SN - 0188-7009

VL - 24

SP - 945

EP - 953

JO - Advances in Applied Clifford Algebras

JF - Advances in Applied Clifford Algebras

IS - 4

ER -

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

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