On a Dirichlet Problem for a Generalized Beltrami Equation

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Date

2018

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Springer Basel Ag

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Abstract

In this article we study a Dirichlet problem for a hypercomplex Beltrami equation. We prove the existence of a unique solution of the problem and give a representation formula for the solution.

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Keywords

Hypercomplex analysis, Hypercomplex Beltrami equation, Pi-operator, Boundary value problems, \(\Pi \)-operator, hypercomplex Beltrami equation, Functions of hypercomplex variables and generalized variables, boundary value problems, Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.)

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0101 mathematics, 01 natural sciences

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Q2

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Source

Advances in Applied Clifford Algebras

Volume

28

Issue

3

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