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SUMMARY:Nonlinear wave equations on time dependent inhomogeneous backgroun
 ds - Shiwu Yang (Cambridge)
DTSTART:20131007T140000Z
DTEND:20131007T150000Z
UID:TALK47415@talks.cam.ac.uk
CONTACT:Prof. Clément Mouhot
DESCRIPTION:We study the nonlinear wave equations on a class of asymptotic
 ally flat Lorentzian manifolds $(\\mathbb{R}^{3+1}\, g)$ with time depende
 nt inhomogeneous metric g. Based on a new approach for proving the decay o
 f solutions of linear wave equations\, we give several applications to non
 linear problems. In particular\, we show the small data global existence r
 esult for quasilinear wave equations satisfying the null condition on a cl
 ass of time dependent inhomogeneous backgrounds which do not settle to any
  particular stationary metric.
LOCATION:CMS\, MR13
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