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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 |
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Pages (from-to) | 1821-1826 |
Journal | Communications in Partial Differential Equations |
Volume | 39 |
Issue number | 10 |
Early online date | 19 Aug 2014 |
DOIs | |
Publication status | Published - 2014 |
Keywords
- Endpoint estimates
- Kinetic transport equations
- Multilinear analysis
- Strichartz estimates
- 42B37
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Dive into the research topics of 'On the Strichartz estimates for the kinetic transport equation'. Together they form a unique fingerprint.Projects
- 2 Finished
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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
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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