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arxiv: 0803.3179 · v2 · submitted 2008-03-21 · 🧮 math.AP · math.SP

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

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keywords boundeddomainsboundaryconditionsformulasgeneralizedkrein-typelipschitz
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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, $(1/2)<r<1$.

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