Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611673 | Journal of Differential Equations | 2012 | 26 Pages |
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