Elliptic model problems including mixed boundary conditions and material heterogeneities
Please always quote using this URN:urn:nbn:de:0296-matheon-4634
- We present model problems in three dimensions, where the operator $-\nabla \cdot \mu \nabla$ maps the Sobolev space $W^1,p_\Gamma(\Omega)$ isomorphically onto $W^-1,p_\Gamma(\Omega)$ for a $p>3$. The emphasis is here on the case where different boundary conditions meet material heterogeneities.
Author: | Robert Haller-Dintelmann, Hans-Christoph Kaiser, Joachim Rehberg |
---|---|
URN: | urn:nbn:de:0296-matheon-4634 |
Referee: | Alexander Mielke |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2008/02/19 |
Release Date: | 2008/01/02 |
Tag: | |
Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
MSC-Classification: | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Bxx Qualitative properties of solutions / 35B65 Smoothness and regularity of solutions |
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J25 Boundary value problems for second-order elliptic equations | |
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Rxx Miscellaneous topics (For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDE, see also 60H15) / 35R05 Partial differential equations with discontinuous coefficients or data | |
Preprint Number: | 446 |