Gradient NLW on curved background in 4+1 dimensions
Analysis of PDEs
2008-02-27 v1
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 spaces, and use a trilinear multiscale wave packet decomposition in order to prove a key trilinear estimate.
Keywords
Cite
@article{arxiv.0802.3870,
title = {Gradient NLW on curved background in 4+1 dimensions},
author = {Dan-Andrei Geba and Daniel Tataru},
journal= {arXiv preprint arXiv:0802.3870},
year = {2008}
}