Abstract
The aim of Chapter 4 consists in the study of problems of mathematical physics of various kinds by the methods of quaternionic analysis. Many mathematicians have dealt with this subject, but up to now it has not been possible to consider it in such a self-contained form. An application of the quaternionic analysis enables us to formulate a unified approach for solving all questions arising in the consideration of boundary value problems. Therefore treatment is carried out in a well-defined order (existence of a solution, uniqueness, representation of the solution, regularity). A corresponding quaternionic numerical mathematics is given in Chapter 5.
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© 1989 Akademie-Verlag Berlin
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Gürlebeck, K., Sprößig, W. (1989). Some Boundary Value Problems of Dirichlet’s Type. In: Quaternionic Analysis and Elliptic Boundary Value Problems. International Series of Numerical Mathematics/Internationale Schriftenreihe zur Numerischen Mathematik/Série internationale d’Analyse numérique, vol 89. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7295-9_4
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DOI: https://doi.org/10.1007/978-3-0348-7295-9_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7297-3
Online ISBN: 978-3-0348-7295-9
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