| File | |
| language |
eng
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| 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
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| 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.
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| Journal Title |
Journal of Differential Equations
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| Volume | 269
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| Issue | 4
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| Start Page | 2798
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| End Page | 2852
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| ISSN | 0022-0396
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| Published Date | 2020-08-05
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| DOI | |
| Publisher | Elsevier Inc.
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| NII Type |
Journal Article
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| Format |
PDF
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| Text Version |
著者版
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| OAI-PMH Set |
Faculty of Science and Engineering
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