𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The trace of Sobolev-Slobodeckij spaces on Lipschitz domains

✍ Scribed by Jürgen Marschall

Publisher
Springer
Year
1987
Tongue
English
Weight
497 KB
Volume
58
Category
Article
ISSN
0025-2611

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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

Intrinsic characterizations of Besov spa
Intrinsic characterizations of Besov spaces on Lipschitz domains
✍ Sophie Dispa 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB

## Abstract The aim of this paper is to study the equivalence between quasi‐norms of Besov spaces on domains. We suppose that the domain Ω ⊂ ℝ^__n__^ is a bounded Lipschitz open subset in ℝ^__n__^. First, we define Besov spaces on Ω as the restrictions of the corresponding Besov spaces on ℝ^__n__^.

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 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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