2022
DOI: 10.1016/j.jde.2022.03.024
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Space-time behavior of the solution to the Boltzmann equation with soft potentials

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Cited by 6 publications
(2 citation statements)
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“…The pointwise behavior of the Green function of the Boltzmann equation for hard sphere was first verified in [22,23,24]. Later, the pointwise behavior of Green function of the Boltzmann equation for hard, Maxwellian and soft potentials was studied in [18,19,20].…”
Section: Introductionmentioning
confidence: 99%
“…The pointwise behavior of the Green function of the Boltzmann equation for hard sphere was first verified in [22,23,24]. Later, the pointwise behavior of Green function of the Boltzmann equation for hard, Maxwellian and soft potentials was studied in [18,19,20].…”
Section: Introductionmentioning
confidence: 99%
“…In [26], they constructed L 2 ∩ L ∞ β solution to the Boltzmann equation in the whole space using Duhamel's principle and the spectral theory. Recently, authors in [23] provide new analysis to derive L ∞ estimate rather than using Green function and Duhamel's principle. In addition, there are lots of references [2,4,5,6,8,18,19,22,24], where the low regularity solutions were studied for the cut-off type Boltzmann equation.…”
mentioning
confidence: 99%