Original Articles

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

Published in: Quaestiones Mathematicae
Volume 38 , issue 2, pages: 181–189

DOI: 10.2989/16073606.2014.981717

Author(s): Antonio Nicola Di TeodoroDepartamento de Matemáticas Puras y Aplicadas, Venezuela, Judith VanegasDepartamento de Matemáticas Puras y Aplicadas, Venezuela,

Keywords: 35F15, 30G35, 35F15, 30G35,

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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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Original Articles

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

Abstract

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