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math.AP2001
Ricci defects of microlocalized Einstein metrics
S. Klainerman, I. Rodnianski
This is the third and last in our series of papers concerning rough solutions of the Einstein vacuum equations expressed relative to wave coordinates. In this paper we prove an imp…
math.AP2001
A physical space approach to wave equation bilinear estimates
Sergiu Klainerman, Igor Rodnianski, Terence Tao
Bilinear estimates for the wave equation in Minkowski space are normally proven using the Fourier transform and Plancherel's theorem. However, such methods are difficult to carry o…
math.AP2001
Bilinear Estimates and Applications to Nonlinear Wave Equations
Sergiu Klainerman, Sigmund Selberg
We undertake a systematic review of some results concerning local well-posedness of the Cauchy problem for certain systems of nonlinear wave equations, with minimal regularity assu…