On the Global Regularity for a Wave-Klein—Gordon Coupled System

In this paper we consider a coupled Wave-Klein—Gordon system in 3D, and prove global regularity and modified scattering for small and smooth initial data with suitable decay at infinity. This system was derived by Wang and LeFloch—Ma as a simplified model for the global nonlinear stability of the Mi...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 35; no. 6; pp. 933 - 986
Main Authors Ionescu, Alexandru D., Pausader, Benoit
Format Journal Article
LanguageEnglish
Published Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.06.2019
Springer Nature B.V
Subjects
Gravitation
Mathematics
Mathematics and Statistics
Minkowski space
Regularity
35B65
35L72
35Q75
Quasilinear Klein—Gordon equations
systems of wave and Klein–Gordon equations
modified scattering
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Summary:In this paper we consider a coupled Wave-Klein—Gordon system in 3D, and prove global regularity and modified scattering for small and smooth initial data with suitable decay at infinity. This system was derived by Wang and LeFloch—Ma as a simplified model for the global nonlinear stability of the Minkowski space-time for self-gravitating massive fields.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-019-8413-6