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Generalized Strichartz Estimates on Perturbed Wave Equation and Applications on Strauss Conjecture (2009)

Abstract
In this paper we show a general Strichartz estimate for certain perturbed wave equation, and here we can drop the nontrapping hypothesis and handle trapping obstacles with some loss of derivatives for data in the local energy decay estimates. Then we give the obstacle version of sharp life span for semilinear wave equations when $n=3,p

Publication details
Download http://arxiv.org/abs/0905.0038
Repository arXiv (United States)
Keywords Mathematics - Analysis of PDEs
Type text