SCATTERING FOR A ONE-SIDED KLEIN-GORDON EQUATION IN QUANTUM-GRAVITY

Citation
Jp. Dias et al., SCATTERING FOR A ONE-SIDED KLEIN-GORDON EQUATION IN QUANTUM-GRAVITY, Annales de l'I.H.P. Physique theorique, 61(1), 1994, pp. 75-86
Citations number
6
Categorie Soggetti
Physics
ISSN journal
02460211
Volume
61
Issue
1
Year of publication
1994
Pages
75 - 86
Database
ISI
SICI code
0246-0211(1994)61:1<75:SFAOKE>2.0.ZU;2-V
Abstract
In this paper we consider a Klein-Gordon equation in one space dimensi on with a class of smooth positive increasing potentials V motivated b y a model in quantum gravity. For large times the wave propagate freel y to the left. We prove decay in time estimates and asymptotic complet eness justifying this phrase.