Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

Details Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains Generalized Robin Boundary Conditions, Robin-to-Dirichlet Maps, and Krein-Type Resolvent Formulas for Schrödinger Operators on Bounded Lipschitz Domains

2008-03-21

arxiv.org/abs/0803.3179v2

Mathematics

Analysis of PDEs

61 pages, typos corrected, new material added

Scientific paper

We study generalized Robin boundary conditions, Robin-to-Dirichlet maps, and
Krein-type resolvent formulas for Schr\"odinger operators on bounded Lipschitz
domains in $\bbR^n$, $n\ge 2$. We also discuss the case of bounded
$C^{1,r}$-domains, $(1/2)

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