Mathematics – Analysis of PDEs
Scientific paper
2004-06-29
Mathematics
Analysis of PDEs
latex, 27 pages. Minor improvement of Propositions 1.1, 2.3 and 2.4
Scientific paper
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.
Ginibre Jean
Velo Giorgio
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