Remarks on potential spaces and Besov spaces in a Lipschitz domain and on Whitney arrays on its boundary
β Scribed by M. S. Agranovich
- Book ID
- 110210594
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2008
- Tongue
- English
- Weight
- 523 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1061-9208
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π SIMILAR VOLUMES
We study inhomogeneous boundary value problems for the Laplacian in arbitrary Lipschitz domains with data in Sobolev Besov spaces. As such, this is a natural continuation of work in [Jerison and Kenig, J. Funct. Anal. (1995), 16 219] where the inhomogeneous Dirichlet problem is treated via harmonic
We continue a program to develop layer potential techniques for PDE on Lipschitz domains in Riemannian manifolds. Building on L p and Hardy space estimates established in previous papers, here we establish Sobolev and Besov space estimates on solutions to the Dirichlet and Neumann problems for the L