Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials

DOI10.7153/oam-07-15zbMath1283.34023arXiv1109.1613OpenAlexW2963520823MaRDI QIDQ2852249

Rudi Weikard, Maxim Zinchenko, Friedrich Gesztesy

Publication date: 8 October 2013

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1613

zbMATH Keywords

Schrödinger operatorWeyl-Titchmarsh theoryordinary differential equations with operator coefficients

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05)

Related Items (12)

Principal Solutions Revisited ⋮ On a generalisation of Krein's example ⋮ On Birman's sequence of Hardy-Rellich-type inequalities ⋮ Spatial asymptotics of Green's function and applications ⋮ Initial value problems for integrable systems on a semi-strip ⋮ Inverse spectral problems for Dirac operators with summable matrix-valued potentials ⋮ On spectral theory for Schrödinger operators with operator-valued potentials ⋮ An example of unitary equivalence between self-adjoint extensions and their parameters ⋮ Unitary equivalence of proper extensions of a symmetric operator and the Weyl function ⋮ Nonlinear Schrödinger equation in a semi-strip: evolution of the Weyl-Titchmarsh function and recovery of the initial condition and rectangular matrix solutions from the boundary conditions ⋮ A Jost-Pais-type reduction of Fredholm determinants and some applications ⋮ Donoghue-type \(m\)-functions for Schrödinger operators with operator-valued potentials

This page was built for publication: Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials