Original Articles

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

Published in: Quaestiones Mathematicae
Volume 38 , issue 2 , 2015 , pages: 181–189

DOI: 10.2989/16073606.2014.981717

Author(s): Antonio Nicola Di Teodoro Departamento de Matemáticas Puras y Aplicadas, Venezuela , Judith Vanegas Departamento 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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