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arXiv · 1009.0928

Concerning the Strauss conjecture on asymptotically Euclidean manifolds

Chengbo Wang·Xin Yu
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Abstract

In this paper we verify the Strauss conjecture for semilinear wave equations on asymptotically Euclidean manifolds when n=3,4, we also give an almost sharp life span for the subcritical case $2\le p<p_c$ when n=3. The main ingredients include a KSS type estimate with $0<\mu<1/2$ and weighted Strichartz estimates of order two.

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Chengbo Wang, Xin Yu. 2010-09-05. Concerning the Strauss conjecture on asymptotically Euclidean manifolds. https://doi.org/10.1016/j.jmaa.2011.01.053

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