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Weighted Strichartz estimates and global existence for semilinear wave equations

V. Georgiev, Hans Lindblad, Christopher D. Sogge

math.AParXiv:math/9912206

Abstract

We prove certain weighted Strichartz estimates and use these to prove a sharp theorem for global existence of small amplitude solutions of u= |u|p, thus verifying the so-called "Strauss conjecture".

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