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Elliptic Equations in Polyhedral Domains
About this Title
Vladimir Maz′ya, Linköping University, Linköping, Sweden and Jürgen Rossmann, Rostock University, Rostock, Germany
Publication: Mathematical Surveys and Monographs
Publication Year:
2010; Volume 162
ISBNs: 978-0-8218-4983-5 (print); 978-1-4704-1389-7 (online)
DOI: https://doi.org/10.1090/surv/162
MathSciNet review: MR2641539
MSC: Primary 35-02; Secondary 35J08, 35J58, 35Q30, 35Q74, 46E35, 46N20
Table of Contents
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Front/Back Matter
Chapters
- 1. Introduction
The Dirichlet problem for strongly elliptic systems in polyhedral domains
- 2. Prerequisites on elliptic boundary value problems in domains with conical points
- 3. The Dirichlet problem for strongly elliptic systems in a dihedron
- 4. The Dirichlet problem for strongly elliptic systems in a cone with edges
- 5. The Dirichlet problem in a bounded domain of polyhedral type
- 6. The Miranda-Agmon maximum principle
Neumann and mixed boundary value problems for second order systems in polyhedral domains
- 7. Boundary value problems for second order systems in a dihedron
- 8. Boundary value problems for second order systems in a polyhedral cone
- 9. Boundary value problems for second order systems in a bounded polyhedral domain
Mixed boundary value problems for stationary Stokes and Navier-Stokes systems in polyhedral domains