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language
eng
Author
Liu Yang School of Mathematics and Statistics, and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun, Jilin 130024, PR China/ouble Degree Program, Mathematics Course, Interdisciplinary Graduate School of Science and Engineering, Shimane University, Matsue 690-8504, Japan
Description
This paper concerns the scattering theory for the Maxwell–Schrödinger (MS) system in the Lorenz gauge, or more precisely, the existence of the modified wave operators for this system in R3+1 space-time. We construct solutions to the MS system which behave as free Maxwell and Schrödinger waves with prescribed asymptotic states when t → ∞, without any restriction on the size thereof. Since this system belongs to the borderline between the short range case and the long range case, we need modification of phase for the Schrödinger function.
Journal Title
Journal of Differential Equations
Volume
269
Issue
4
Start Page
2798
End Page
2852
ISSN
0022-0396
Published Date
2020-08-05
DOI
Publisher
Elsevier Inc.
NII Type
Journal Article
Format
PDF
Text Version
著者版
OAI-PMH Set
Faculty of Science and Engineering