Concerning the Strauss conjecture on asymptotically Euclidean manifolds
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 p<pc when n=3. The main ingredients include a KSS type estimate with 0<μ<1/2 and weighted Strichartz estimates of order two.
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