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Layer potentials and boundary value problems for Laplacian in Lipschitz domains with data in quasi-Banach Besov spaces

✍ Scribed by Mayboroda, Svetlana; Mitrea, Marius

Book ID
118792812
Publisher
Springer
Year
2005
Tongue
English
Weight
477 KB
Volume
185
Category
Article
ISSN
0373-3114

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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