2003/02/20 by J. Ginibre, G. Velo, Ginibre, J. +1
Mathematics · Physics and Astronomy · #35P25 (Primary) 35B40 #35Q40 #81U99 (Secondary) #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.MP #msc:35B40 #msc:35P25 #msc:35Q40 #msc:81U99
paper · pdf · doi:10.48550/arxiv.math/0302247
LateX, 32 pages, available http://th.u-psud.fr
arxiv created 2003/02/20 · openalex publication_date 2003/02/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We continue the study of scattering theory for the system consisting of a Schr"odinger equation and a wave equation with a Yukawa type coupling in space dimension 3. In a previous paper we proved the existence of modified wave operators for that system with no size restriction on the data and we determined the asymptotic behaviour in time of solutions in the range of the wave operators, under a support condition on the asymptotic state required by the different propagation properties of the wave and Schr"odinger equations.Here we eliminate that condition by using an improved asymptotic form for the solutions.