SCATTERING THEORY FOR THE WAVE EQUATION ON NON-COMPACT MANIFOLDS

DOI10.1142/S0129055X92000236zbMath0778.58064OpenAlexW2014001945MaRDI QIDQ5286035

Stephan Debièvre, Israel Michael Sigal, Peter D. Hislop

Publication date: 29 June 1993

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x92000236

zbMATH Keywords

Schrödinger equationtime-dependent scattering theorywave equation on manifolds

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Hyperbolic equations on manifolds (58J45)

Related Items (9)

SCATTERING OF MASSLESS DIRAC FIELDS BY A KERR BLACK HOLE ⋮ SPECTRAL ANALYSIS AND TIME-DEPENDENT SCATTERING THEORY ON MANIFOLDS WITH ASYMPTOTICALLY CYLINDRICAL ENDS ⋮ Direct and inverse scattering at fixed energy for massless charged Dirac fields by Kerr-Newman-de Sitter black holes ⋮ Complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats. (Asymptotic completeness for the wave equation in a class of stationary and asymptotically flat space-times) ⋮ On open scattering channels for manifolds with ends ⋮ Phase space analysis on some black hole manifolds ⋮ Minimal escape velocities ⋮ Spectral analysis for optical fibres and stratified fluids. I: The limiting absorption principle ⋮ Differential equations of quantum mechanics

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