Open AccessEndpoint Strichartz estimates
Author(s) -
M. Keel,
Terence Tao
Publication year - 1998
Publication title -
american journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.818
H-Index - 67
eISSN - 1080-6377
pISSN - 0002-9327
DOI - 10.1353/ajm.1998.0039
Subject(s) - mathematics , dimension (graph theory) , wave equation , mathematical analysis , nonlinear system , pure mathematics , physics , quantum mechanics
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.
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