Journal
ACTA MATHEMATICA SINICA-ENGLISH SERIES
Volume 35, Issue 6, Pages 933-986Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s10114-019-8413-6
Keywords
Quasilinear KleinGordon equations; modified scattering; systems of wave and Klein-Gordon equations
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Funding
- NSF [DMS-1362940]
- NSF-FRG [DMS-1463753]
- Sloan Research fellowship
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In this paper we consider a coupled Wave-KleinGordon 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 LeFlochMa as a simplified model for the global nonlinear stability of the Minkowski space-time for self-gravitating massive fields.
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