A Dirichlet Problem for the First Order Inhomogeneous Meta-Monogenic Equation in Parameter Depending Clifford Algebras

Abstract:

Using Clifford-type algebras depending on parameters we solve a Dirichlet problem for the first order inhomogeneous meta-monogenic equation. In order to do that we construct a fundamental solution for first order meta-monogenic operator and give a Cauchy-Pompeiu Formula. Then we reduce the boundary value problem to a fixed-point problem for an integral operator defined using the fundamental solution of the differential operator.

Año de publicación:

2015

Keywords:

• Clifford-type algebras depending on parameters
• Meta-monogenic functions
• Dirichlet problem

Fuente:

scopus

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