Abstract.
We continue the study of scattering theory for the system consisting of a Schrödinger 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 Schrödinger equations. Here we eliminate that condition by using an improved asymptotic form for the solutions.
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Communicated by Bernard Helffer
submitted 20/02/03, accepted: 24/06/03
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Ginibre, J., Velo, G. Long Range Scattering and Modified Wave Operators for the Wave-Schrödinger System II . Ann. Henri Poincaré 4, 973–999 (2003). https://doi.org/10.1007/s00023-003-0152-6
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DOI: https://doi.org/10.1007/s00023-003-0152-6