On the Strichartz Estimates for the Kinetic Transport Equation

DOI10.1080/03605302.2013.850880zbMath1304.42061arXiv1307.1600OpenAlexW2161354972MaRDI QIDQ2931967

Neal Bez, Susana Gutiérrez, Sanghyuk Lee, Jonathan M. Bennett

Publication date: 28 November 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1600

zbMATH Keywords

Strichartz estimateskinetic transport equationmultilinear analysisspace-time Fourier transform

Mathematics Subject Classification ID

Harmonic analysis and PDEs (42B37)

Related Items (12)

Stability of trace theorems on the sphere ⋮ Small data global well-posedness for a Boltzmann equation via bilinear spacetime estimates ⋮ An energy method for averaging lemmas ⋮ Well-posedness and scattering for the Boltzmann equations: soft potential with cut-off ⋮ On the Cauchy problem for the cutoff Boltzmann equation with small initial data ⋮ Galilean theory of dispersion for kinetic equations ⋮ Lieb-Thirring inequalities and other functional inequalities for orthonormal systems ⋮ Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates ⋮ Sharpness of the Brascamp-Lieb inequality in Lorentz spaces ⋮ The orthonormal Strichartz inequality on torus ⋮ On the Strichartz estimates for orthonormal systems of initial data with regularity ⋮ The Hartree and Vlasov equations at positive density

Cites Work

• Counterexamples to Strichartz estimates for the kinetic transport equation based on Besicovitch sets
• Time decay for the bounded mean oscillation of solutions of the Schrödinger and wave equations
• Endpoint Strichartz estimate for the kinetic transport equation in one dimension
• Strichartz Estimates for the Kinetic Transport Equation
• Endpoint Strichartz estimates
• Mathematical tools for kinetic equations

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