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

2008/03/21 by Gesztesy, Fritz, Mitrea, Marius · 2 citations
#35J10 #35J25 #35P05 #35Q40 (Primary) #47A10 #47F05 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.0803.3179

Abstract

We study generalized Robin boundary conditions, Robin-to-Dirichlet maps, and Krein-type resolvent formulas for Schrödinger operators on bounded Lipschitz domains in \bbRⁿ, n≥ 2. We also discuss the case of bounded C^1,r-domains, (1/2)

Cited by

• The spectrum of the Steklov-Helmholtz operator
• Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators

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