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arXiv · 0802.3870

Gradient NLW on curved background in 4+1 dimensions

Dan-Andrei Geba·Daniel Tataru
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Abstract

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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Dan-Andrei Geba, Daniel Tataru. 2008-02-26. Gradient NLW on curved background in 4+1 dimensions. https://arxiv.org/abs/0802.3870

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