Article ID Journal Published Year Pages File Type
4611673 Journal of Differential Equations 2012 26 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis