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Variational problems in Clifford analysis

✍ Scribed by Julii Dubinskii; Michael Reissig

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
143 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

Using decomposition results for Sobolev spaces of Clifford‐valued functions into direct sums of subspaces of monogenic and co‐monogenic functions variational problems will be studied.These variational problems are equivalent to PD‐models by the choice of special operators of conboundary differentiation. By a Galerkin scheme we construct the monogenic part as a weak solution of a non‐linear problem. The co‐monogenic potential is the solution of a weak Dirichlet problem. Copyright © 2002 John Wiley & Sons, Ltd.

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