Scattering for the Klein-Gordon equations with time-dependent potentials

DOI10.3836/TJM/1264170240zbMath1204.35110OpenAlexW2061969075MaRDI QIDQ981921

Sojiro Murai

Publication date: 9 July 2010

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1264170240

zbMATH Keywords

scattering operatorsreal valued potential

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

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• On decay-nondecay and scattering for Schrödinger equations with time dependent complex potentials
• The Fejér-Riesz inequality for Siegel domains
• Existence of solutions for Schrödinger evolution equations
• A scattering theory for time-dependent long-range potentials
• Scattering theory for Schrödinger equation with potential periodic in time
• Energy decay of solutions to the wave equations with linear dissipation localized near infinity
• Scattering operator for nonlinear Klein-Gordon equations in higher space dimensions
• Wave operators and similarity for some non-selfadjoint operators
• Stationary scattering theory for time-dependent Hamiltonians
• Energy decay and asymptotic behavior of solutions to the wave equations with linear dissipation
• Strichartz and Smoothing Estimates for Dispersive Equations with Magnetic Potentials
• SOME EXAMPLES OF SMOOTH OPERATORS AND THE ASSOCIATED SMOOTHING EFFECT

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