On the Strichartz estimates for the kinetic transport equation

Jonathan Bennett; Neal Bez; Susana Gutierrez; Sanghyuk Lee

doi:10.1080/03605302.2013.850880

On the Strichartz estimates for the kinetic transport equation

Jonathan Bennett, Neal Bez, Susana Gutierrez, Sanghyuk Lee

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

239 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1821-1826
Journal	Communications in Partial Differential Equations
Volume	39
Issue number	10
Early online date	19 Aug 2014
DOIs	https://doi.org/10.1080/03605302.2013.850880
Publication status	Published - 2014

Keywords

Endpoint estimates
Kinetic transport equations
Multilinear analysis
Strichartz estimates
42B37

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10.1080/03605302.2013.850880

Bennett_On_the_Strichartz_estimates_Communications_Partial_Differential_Equations_2014
Eligibility for repository : checked 12/09/2014
Final published version, 122 KBLicence: Creative Commons: Attribution (CC BY)

Extremisers and near-extremisers for central inequalities in harmonic analysis, geometric analysis and PDE
Gutierrez, S. (Principal Investigator)
Engineering & Physical Science Research Council
15/02/13 → 15/02/14
Project: Research Councils
Singular vortex dynamics and nonlinear Schrodinger equations
Gutierrez, S. (Principal Investigator)
Engineering & Physical Science Research Council
30/09/12 → 29/09/14
Project: Research Councils

Cite this

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title = "On the Strichartz estimates for the kinetic transport equation",

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.",

keywords = "Endpoint estimates, Kinetic transport equations, Multilinear analysis, Strichartz estimates, 42B37",

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AU - Bez, Neal

AU - Gutierrez, Susana

AU - Lee, Sanghyuk

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AB - 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.

KW - Endpoint estimates

KW - Kinetic transport equations

KW - Multilinear analysis

KW - Strichartz estimates

KW - 42B37

U2 - 10.1080/03605302.2013.850880

DO - 10.1080/03605302.2013.850880

M3 - Article

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VL - 39

SP - 1821

EP - 1826

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

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ER -

On the Strichartz estimates for the kinetic transport equation

Abstract

Keywords

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Projects

Extremisers and near-extremisers for central inequalities in harmonic analysis, geometric analysis and PDE

Singular vortex dynamics and nonlinear Schrodinger equations

Cite this