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

On the Global Regularity for a Wave-Klein–Gordon Coupled System
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摘要 In this paper we consider a coupled Wave-Klein–Gordon system in 3 D, 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. In this paper we consider a coupled Wave-Klein–Gordon system in 3 D, 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2019年第6期933-986,共54页 数学学报(英文版)
基金 supported in part by NSF(Grant No.DMS-1600028) NSF-FRG(Grant No.DMS-1463753) supported in part by NSF(Grant No.DMS-1362940) by a Sloan Research fellowship
关键词 QUASILINEAR Klein–Gordon EQUATIONS modified scattering systems of WAVE and Klein–Gordon EQUATIONS Quasilinear Klein–Gordon equations modified scattering systems of wave and Klein–Gordon equations
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