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Weighted Strichartz estimates and global existence for semilinear wave equations

Vladimir Georgiev, Hans Lindblad, Christopher D. Sogge

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Source: Crossref

Published: Dec 1, 1997

DOI: 10.1353/ajm.1997.0038

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Source abstract

In this paper we prove a sharp global existence theorem in all dimensions for nonlinear wave equations with power-type nonlinearities. The proof is based on a weighted Strichartz estimate involving powers of the Lorentz distance.

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Weighted Strichartz estimates and global existence for semilinear wave equations — Mathematical Frontier Network