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Concerning the Strauss conjecture on asymptotically Euclidean manifolds
Published 5 Sep 2010 in math.AP | (1009.0928v2)
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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