On the gain of regularity for the positive part of Boltzmann collision operator associated with soft-potentials

DOI10.3934/KRM.2012.5.769zbMath1258.35193OpenAlexW2333077455MaRDI QIDQ1940945

Yong-Kum Cho, Hera Yun

Publication date: 11 March 2013

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2012.5.769

zbMATH Keywords

cutoffFourier transformregularitySobolev spaceBoltzmann equationcollisionHausdorff-Young type inequalitybilinear fractional integralsoft-potential

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Integro-differential operators (47G20) PDEs in connection with statistical mechanics (35Q82)

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On the homogeneous Boltzmann equation with soft-potential collision kernels ⋮ Gain of regularity for the relativistic collision operator

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