Bilinear Estimates on Curved Space-times

  • SERGIU KLAINERMAN, IGOR RODNIANSKI
  • Published 2003

Abstract

To settle the L2 bonded curvature conjecture for the Einsteinvaccum equations one needs to prove bilinear type estimates for solutions of the homogeneous wave equation on a fixed background with H2 local regularity. In this paper we introduce a notion of primitive parametrix for the homogeneous wave equation for which we can prove, under very broad assumptions, the desired bilinear estimates.

Cite this paper

@inproceedings{KLAINERMAN2003BilinearEO, title={Bilinear Estimates on Curved Space-times}, author={SERGIU KLAINERMAN and IGOR RODNIANSKI}, year={2003} }