Long range scattering for the Wave-Schr\"odinger system revisited
Analysis of PDEs
2011-03-30 v1 Mathematical Physics
math.MP
Abstract
We reconsider the theory of scattering for the Wave-Schr\"odinger system and more precisely the local Cauchy problem with infinite initial time, which is the main step in the construction of the wave operators. Using a method due to Nakanishi, we eliminate a loss of regularity between the Schr\"odinger asymptotic data and the Schr\"odinger solution in the treatment of that problem, in the special case of vanishing asymptotic data for the wave field.
Cite
@article{arxiv.1103.1538,
title = {Long range scattering for the Wave-Schr\"odinger system revisited},
author = {Jean Ginibre and Giorgio Velo},
journal= {arXiv preprint arXiv:1103.1538},
year = {2011}
}
Comments
32 pages