Elliptic boundary value problems of second order in piecewise smooth domains
The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of...
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| Format: | eBook |
| Language: | English |
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Amsterdam
Elsevier
2006, 2006
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| Edition: | 1st ed |
| Series: | North-Holland mathematical library
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| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Table of Contents:
- Includes bibliographical references (pages 497-525) and indexes
- Introduction.
- 1. Preliminaries.
- 2. Integral inequalities.
- 3. The Laplace operator.
- 4. Strong solutions of the Dirichlet problem for linear equations.
- 5. The Dirichlet problem for elliptic linear.
- divergent equations in a nonsmooth domain.
- 6. The Dirichlet problem for semilinear equations in a conical domain.
- 7. Strong solutions of the Dirichlet problem for nondivergence quasilinear equations.
- 8. Weak solutions of the Dirichlet problem for elliptic divergence form quasilinear equations.
- 9. The behavior of weak solutions to the boundary value problems for elliptic quasilinear equations with triple degeneration in a neighborhood of a boundary edge.
- 10. Sharp estimates of solutions to the Robin.
- boundary value problem for elliptic non divergence second order equations in a neighborhood of the conical point.
- Bibliography.
- Notation Index.
- Index