Concerning the Strauss conjecture on asymptotically Euclidean manifolds

Details Concerning the Strauss conjecture on asymptotically Euclidean manifolds Concerning the Strauss conjecture on asymptotically Euclidean manifolds

2010-09-05

arxiv.org/abs/1009.0928v2

Journal of Mathematical Analysis and Applications Vol 379, Issue 2, July 2011, 549--566

Mathematics

Analysis of PDEs

To appear in Journal of Mathematical Analysis and Applications

Scientific paper

10.1016/j.jmaa.2011.01.053

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 pinclude a KSS type estimate with $0<\mu<1/2$ and weighted Strichartz estimates
of order two.

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