Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains
The goal of this book is to investigate the behavior of weak solutions of the elliptic transmission problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is discussed for both linear and quasilinear equations. A principal new feature of this book is the...
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| Format: | Electronic eBook |
| Language: | English |
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Basel :
Springer Basel,
2010.
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| Series: | Frontiers in Mathematics,
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Preliminaries
- Eigenvalue problem and integro-differential inequalities
- Best possible estimates of solutions to the transmission problem for linear elliptic divergence second-order equations in a conical domain
- Transmission problem for the Laplace operator with N different media
- Transmission problem for weak quasi-linear elliptic equations in a conical domain
- Transmission problem for strong quasi-linear elliptic equations in a conical domain
- Best possible estimates of solutions to the transmission problem for a quasi-linear elliptic divergence second-order equation in a domain with a boundary edge.
