Gradient NLW on Curved Background in 4+1 Dimensions

Dan-Andrei Geba, Daniel Tataru

Type: Article

Publication Date: 2008-01-01

Citations: 4

DOI: https://doi.org/10.1093/imrn/rnn108

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 Xs,b spaces, and use a trilinear multiscale wave packet decomposition in order to prove a key trilinear estimate.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF

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