𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some counterexamples for the theory of sobolev spaces on bad domains

✍ Scribed by Vladimir Maz'ya; Yuri Netrusov

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
634 KB
Volume
4
Category
Article
ISSN
0926-2601

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Potential Theory on Lipschitz Domains in
Potential Theory on Lipschitz Domains in Riemannian Manifolds: Sobolev–Besov Space Results and the Poisson Problem
✍ Marius Mitrea; Michael Taylor πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 450 KB

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

Boundary Layers on Sobolev–Besov Spaces
Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains
✍ Eugene Fabes; Osvaldo Mendez; Marius Mitrea πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 656 KB

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