\(L^p\)-analysis of one-dimensional repulsive Hamiltonian with a class of perturbations

DOI10.3934/Math.2018.1.21OpenAlexW2781852550MaRDI QIDQ2335254

Kentarou Yoshii, Motohiro Sobajima

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2018.1.21

zbMATH Keywords

repulsive HamiltonianWKB methods

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05)

Cites Work

• Uniqueness of the self-adjoint extension of singular elliptic differential operators
• On the perturbation of linear operators in Banach and Hilbert spaces
• Asymptotic behavior of solutions of linear ordinary differential equations
• Scattering theory for the Schrödinger equation with repulsive potential
• Inverse scattering for a Schrödinger operator with a repulsive potential
• On inverse scattering problem for the Schrödinger equation with repulsive potentials
• One-Parameter Semigroups for Linear Evolution Equations
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