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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	181-189
Number of pages	9
Journal	Quaestiones Mathematicae
Volume	38
Issue number	2
DOIs	https://doi.org/10.2989/16073606.2014.981717
State	Published - 4 Mar 2015
Externally published	Yes

Keywords

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

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10.2989/16073606.2014.981717

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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.",

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AU - Di Teodoro, Antonio Nicola

AU - Vanegas, Judith

PY - 2015/3/4

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/84928394187

U2 - 10.2989/16073606.2014.981717

DO - 10.2989/16073606.2014.981717

M3 - Artículo

AN - SCOPUS:84928394187

SN - 1607-3606

VL - 38

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EP - 189

JO - Quaestiones Mathematicae

JF - Quaestiones Mathematicae

IS - 2

ER -

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

Abstract

Keywords

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