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Erschienen in:
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2013 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Irina Mitrea, Marius Mitrea

Erschienen in: Multi-Layer Potentials and Boundary Problems

Verlag: Springer Berlin Heidelberg

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Abstract

One of the main goals of the present monograph is to develop the framework of a theory for the multiple layer (or multi-layer, for short) potential operators arising in the treatment of boundary value problems associated with a higher-order, matrix-valued (complex) constant coefficient, elliptic differential operator \(\begin{array}{rcl} Lu =\sum\limits_{\vert \alpha \vert =\vert \beta \vert =m}{\partial }^{\alpha }{A}_{ \alpha \beta }\,{\partial }^{\beta }u& &\end{array}\) (where \(m \in \mathbb{N}\)) in a Lipschitz domain \(\Omega \subset {\mathbb{R}}^{n}\).

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Nächstes Kapitel Smoothness Scales and Calderón–Zygmund Theory in the Scalar–Valued Case
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Metadaten
Titel
Introduction
verfasst von
Irina Mitrea
Marius Mitrea
Copyright-Jahr
2013
Verlag
Springer Berlin Heidelberg
Buch
Multi-Layer Potentials and Boundary Problems

Print ISBN: 978-3-642-32665-3

Electronic ISBN: 978-3-642-32666-0

Copyright-Jahr: 2013

DOI
https://doi.org/10.1007/978-3-642-32666-0_1