paper

Concerning the Strauss conjecture on asymptotically Euclidean manifolds

arXiv:1009.0928 · doi:10.1016/j.jmaa.2011.01.053

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 $2 \leq p < p_{c}$ when n=3. The main ingredients include a KSS type estimate with $0 < I^¼ < 1/2$ and weighted Strichartz estimates of order two.

To appear in Journal of Mathematical Analysis and Applications