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 $2\le p<p_c$ when n=3. The main ingredients include a KSS type estimate with $0<\mu <1/2$ and weighted Strichartz estimates of order two.

To appear in Journal of Mathematical Analysis and Applications

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Cited by in corpus (9)

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• Long time existence for semilinear wave equations on asymptotically flat space-times
• Recent works on the Strauss conjecture
• Global existence of null-form wave equations on small asymptotically Euclidean manifolds
• The Strauss conjecture on asymptotically flat space-times
• The Glassey conjecture on asymptotically flat manifolds
• Global existence for semilinear damped wave equations in relation with the Strauss conjecture
• Lifespan estimates for $2$-dimensional semilinear wave equations in asymptotically Euclidean exterior domains
• Global existence for a coupled wave system related to the Strauss conjecture