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Recent works on the Strauss conjecture

arXiv:1110.4454 · doi:10.1090/conm/581/11497

Abstract

In this review paper, we summarize the current state-of-art on the Strauss conjecture with nontrapping obstacles. Among others, three essential estimates are emphasized and presented: Morawetz-KSS estimates (also known as local energy estimates), weighted Strichartz estimates and generalized Strichartz estimates.

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