The principle of limiting absorption for second-order differential equations with operator-valued coefficients

DOI10.2977/prims/1195193399zbMath0251.34043OpenAlexW2166105575MaRDI QIDQ2556977

Yoshimi Saito

Publication date: 1972

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195193399

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) General theory of functional-differential equations (34K05) Differential equations in abstract spaces (34G99)

Related Items

Principal Solutions Revisited, An asymptotic behavior of the S-matrix and the inverse scattering problem, Scattering theory for elliptic differential operators in unbounded domains. I, On spectral theory for Schrödinger operators with operator-valued potentials, Tosio Kato's work on non-relativistic quantum mechanics. I, Das Ausstrahlungsproblem für elliptische Differentialgleichungen in Gebieten mit unbeschränktem Rand, The continuous singular spectrum of the Schrödinger operator, Estimates for the asymptotic behavior of solutions of the Helmholtz equation, with an application to second order elliptic differential operators with variable coefficients, A new proof of absence of positive discrete spectrum of the Schrödinger operator, An approximation formula in the inverse scattering problem, Tosio Kato’s work on non-relativistic quantum mechanics, Part 2, Limiting absorption principle for some Schrödinger operators with exploding potentials. I

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