Gradient NLW on curved background in 4+1 dimensions
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Gradient NLW on curved background in 4+1 dimensions

  • Author(s): Geba, Dan-Andrei;
  • Tataru, Daniel
  • et al.

We obtain a sharp local well-posedness result for the Gradient Nonlinear Wave Equation on a nonsmooth curved background. In the process we introduce variable coefficient versions of Bourgain's $X^{s,b}$ spaces, and use a trilinear multiscale wave packet decomposition in order to prove a key trilinear estimate.

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