On Dirichlet-to-Neumann Maps and Some Applications to Modified Fredholm Determinants

zbMath1169.47014arXiv1002.0389MaRDI QIDQ3602111

Marius Mitrea, Maxim Zinchenko, Friedrich Gesztesy

Publication date: 12 February 2009

Full work available at URL: https://arxiv.org/abs/1002.0389

zbMATH Keywords

Fredholm determinantsDirichlet-to-Neumann mapsnon-selfadjoint operatorsmulti-dimensional Schrödinger operatorsmodified Fredholm perturbation determinants

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Green's functions for ordinary differential equations (34B27) Integral operators (47G10)

Related Items (6)

Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Initial value problems for integrable systems on a semi-strip ⋮ The Dirichlet-to-Neumann map for Schrödinger operators with complex potentials ⋮ Krein formula with compensated singularities for the ND-mapping and the generalized Kirchhoff condition at the Neumann Schrödinger junction ⋮ Calculation of the Kirchhoff coefficients for the Helmholtz resonator ⋮ Perturbation determinants for singular perturbations

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