Endpoint Strichartz estimates

Markus Keel, Tao Terence

Research output: Contribution to journalArticlepeer-review

1118 Scopus citations

Abstract

We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension n ≥ 4) and the Schrödinger equation (in dimension n ≥ 3). Three other applications are discussed: local existence for a nonlinear wave equation; and Strichartz-type estimates for more general dispersive equations and for the kinetic transport equation.

Original languageEnglish (US)
Pages (from-to)955-980
Number of pages26
JournalAmerican Journal of Mathematics
Volume120
Issue number5
DOIs
StatePublished - Oct 1998

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