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arXiv · 1103.1538

Long range scattering for the Wave-Schrödinger system revisited

Jean Ginibre·Giorgio Velo
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Abstract

We reconsider the theory of scattering for the Wave-Schrödinger 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 Schrödinger asymptotic data and the Schrödinger solution in the treatment of that problem, in the special case of vanishing asymptotic data for the wave field.

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Jean Ginibre, Giorgio Velo. 2011-03-08. Long range scattering for the Wave-Schrödinger system revisited. https://arxiv.org/abs/1103.1538

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