On the Strichartz estimates for the kinetic transport equation

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Colleges, School and Institutes

Abstract

We show that the endpoint Strichartz estimate for the kinetic transport equation is false in all dimensions. We also present an alternative approach to proving the non-endpoint cases using multilinear analysis.

Details

Original languageEnglish
Pages (from-to)1821-1826
JournalCommunications in Partial Differential Equations
Volume39
Issue number10
Early online date19 Aug 2014
Publication statusPublished - 2014

Keywords

  • Endpoint estimates, Kinetic transport equations, Multilinear analysis, Strichartz estimates, 42B37