The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations
The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathema...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1991, 1991
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| Edition: | 1st ed. 1991 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Weighted Sobolev space
- The Dirichlet problem in a half-space
- The Dirichlet problem in a bounded domain
- Estimates of derivatives
- Harmonic measure
- Exceptional sets on the boundary
- Applications of the L 2-method
- Domains with C1,?-boundary
- The space C n?1( )
- C n?1-estimate of the solution of the Dirichlet problem with L 2-boundary data