A Dirichlet problem for powers of the generalized Cauchy-Riemann operator

Antonio Nicola Di Teodoro; Judith Vanegas

doi:10.2989/16073606.2014.981717

A Dirichlet problem for powers of the generalized Cauchy-Riemann operator

Antonio Nicola Di Teodoro, Judith Vanegas

Universidad Simón Bolívar

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

Resumen

Abstract: In this paper we solve a Dirichlet problem in ℝ³ for the equation Dⁿu = 0, where Dⁿ is the n-th power of generalized Cauchy-Riemann operator and u is a Clifford algebra depending on parameters valued function.

Idioma original	Inglés
Páginas (desde-hasta)	181-189
Número de páginas	9
Publicación	Quaestiones Mathematicae
Volumen	38
N.º	2
DOI	https://doi.org/10.2989/16073606.2014.981717
Estado	Publicada - 4 mar. 2015
Publicado de forma externa	Sí

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title = "A Dirichlet problem for powers of the generalized Cauchy-Riemann operator",

abstract = "Abstract: In this paper we solve a Dirichlet problem in ℝ3 for the equation Dnu = 0, where Dn is the n-th power of generalized Cauchy-Riemann operator and u is a Clifford algebra depending on parameters valued function.",

keywords = "Clifford-type algebras depending on parameters, Dirichlet problems in Clifford analysis, powers of the generalized Cauchy-Riemann operator",

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AB - Abstract: In this paper we solve a Dirichlet problem in ℝ3 for the equation Dnu = 0, where Dn is the n-th power of generalized Cauchy-Riemann operator and u is a Clifford algebra depending on parameters valued function.

KW - Clifford-type algebras depending on parameters

KW - Dirichlet problems in Clifford analysis

KW - powers of the generalized Cauchy-Riemann operator

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A Dirichlet problem for powers of the generalized Cauchy-Riemann operator

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