2004/06/29 by J. Ginibre, G. Velo, Ginibre, J. +1
Mathematics · Physics and Astronomy · #35P25 (Primary) #35Q40 #35b40 #81U99 (Secondary) #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35P25 #msc:35Q40 #msc:35b40 #msc:81U99
paper · pdf · doi:10.48550/arxiv.math/0406608
latex, 27 pages. Minor improvement of Propositions 1.1, 2.3 and 2.4
arxiv created 2004/07/12 · arxiv updated 2009/12/01
We study the theory of scattering for the Wave-Schr"odinger system with Yukawa type coupling in space dimension 3. We prove in particular the existence of modified wave operators for that system with no size restriction on the wave data in the framework of a direct method which requires smallnes of the Schr"odinger data, and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.