Gradient NLW on curved background in 4+1 dimensions

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

2008-02-26

arxiv.org/abs/0802.3870v1

Mathematics

Analysis of PDEs

Scientific paper

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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