Multi-Layer Potentials and Boundary Problems for Higher-Order Elliptic Systems in Lipschitz Domains
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2013, 2013
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| Edition: | 1st ed. 2013 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- 2 Smoothness scales and Caldeón-Zygmund theory in the scalar-valued case
- 3 Function spaces of Whitney arrays
- 4 The double multi-layer potential operator
- 5 The single multi-layer potential operator
- 6 Functional analytic properties of multi-layer potentials and boundary value problems