Gradient NLW on curved background in 4+1 dimensions

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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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Analysis of PDEs, 35L70

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http://salesiana.dossiersoluciones.com/handle/123456789/155704

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.3870
 http://arxiv.org/abs/0802.3870

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arXiv