Existence of outgoing solutions for perturbations of and applications to the scattering matrix

DOI10.1017/S0305004100075484zbMath0768.47004OpenAlexW2101387228MaRDI QIDQ4004629

Kazuhiro Yamamoto

Publication date: 27 September 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100075484

zbMATH Keywords

exterior domainsmooth boundaryexponentially decaying perturbationsmeromorphy of the scattering matrix in a strip around the real axisrepresentation formula for the scattering matrix

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analyticity properties of eigenfunctions and scattering matrix
• Outgoing solutions for perturbations of -\(\Delta\) with applications to spectral and scattering theory
• Spectral representation for Schrödinger operators with long-range potentials. II: Perturbation by short-range potentials
• Eigenfunction expansions and scattering theory for the wave equation in an exterior region
• Spectral theory for the wave equation with a potential term
• The analytic continuation of the resolvent kernel and scattering operator associated with the Schrödinger operator
• The acoustic equation with an indefinite energy form and the Schrödinger equation
• Outgoing solutions of \((-\Delta + q - k^ 2)u=f\) in an exterior domain
• Unique Continuation for Elliptic Equations
• ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
• Scattering Theory And Spectral Representations For General Wave Equations With Short Range Perturbations
• Eigenfunction expansions and scattering theory for perturbations of - \(\Delta\)

This page was built for publication: Existence of outgoing solutions for perturbations of and applications to the scattering matrix