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

Alexandru D. Ionescu; Benoit Pausader

doi:10.1007/s10114-019-8413-6

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

Alexandru D. Ionescu, Benoit Pausader

Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	933-986
Number of pages	54
Journal	Acta Mathematica Sinica, English Series
Volume	35
Issue number	6
DOIs	https://doi.org/10.1007/s10114-019-8413-6
State	Published - Jun 1 2019

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Keywords

35B65
35L72
35Q75
Quasilinear Klein—Gordon equations
modified scattering
systems of wave and Klein–Gordon equations

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10.1007/s10114-019-8413-6

Cite this

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abstract = "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.",

keywords = "35B65, 35L72, 35Q75, Quasilinear Klein—Gordon equations, modified scattering, systems of wave and Klein–Gordon equations",

author = "Ionescu, {Alexandru D.} and Benoit Pausader",

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AU - Ionescu, Alexandru D.

AU - Pausader, Benoit

N1 - Funding Information: Received October 8, 2018, accepted January 7, 2019 The first author was supported in part by NSF (Grant No. DMS-1600028) and NSF-FRG (Grant No. DMS-1463753), the second author was supported in part by NSF (Grant No. DMS-1362940) and by a Sloan Research fellowship Publisher Copyright: © 2019, Springer-Verlag GmbH Germany & The Editorial Office of AMS 2019.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - 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.

AB - 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.

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KW - 35L72

KW - 35Q75

KW - Quasilinear Klein—Gordon equations

KW - modified scattering

KW - systems of wave and Klein–Gordon equations

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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