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Existence and Uniqueness Result for the Schrödinger–Poisson System and Hartree Equation in Sobolev Spaces

✍ Scribed by Angel Ivanov; George Venkov

Publisher
Springer
Year
2008
Tongue
English
Weight
144 KB
Volume
8
Category
Article
ISSN
1424-3199

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Boundary Layers on Sobolev–Besov Spaces
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✍ 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