Averages over spheres for kinetic transport equations; hyperbolic Sobolev spaces and Strichartz inequalities.

DOI10.1016/S0021-7824(00)01191-0zbMath1036.82023WikidataQ60502930 ScholiaQ60502930MaRDI QIDQ1606240

Nikolaos Bournaveas, Perthame, Benoît

Publication date: 24 July 2002

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Strichartz inequalitiestransport equationsaveraging lemmashyperbolic Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Transport processes in time-dependent statistical mechanics (82C70) Initial value problems for linear first-order PDEs (35F10)

Related Items (14)

Maximal gain of regularity in velocity averaging lemmas ⋮ Global existence of a weak solution for a model in radiation magnetohydrodynamics ⋮ Singular limits in a model of radiative flow ⋮ Hypoelliptic regularity in kinetic equations. ⋮ On a model in radiation hydrodynamics ⋮ Smoothing Estimates for the Kinetic Transport Equation at the Critical Regularity ⋮ On the regularity of averages over spheres ⋮ Estimates for the kinetic transport equation in hyperbolic Sobolev spaces ⋮ Global existence for weak solutions of the Cauchy problem in a model of radiation hydrodynamics ⋮ On an incompressible model in radiation hydrodynamics ⋮ Hypoelliptic estimates in radiative transfer ⋮ Mathematical tools for kinetic equations ⋮ On some models in radiation hydrodynamics ⋮ Diffusion limits in a model of radiative flow

Cites Work

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