Authors
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
Publication date
2020/12
Journal
Calculus of Variations and Partial Differential Equations
Volume
59
Issue
6
Pages
191
Publisher
Springer Berlin Heidelberg
Description
For the spatially inhomogeneous, non-cutoff Boltzmann equation posed in the whole space , we establish pointwise lower bounds that appear instantaneously even if the initial data contains vacuum regions. Our lower bounds depend only on the initial data and upper bounds for the mass and energy densities of the solution. As an application, we improve the weakest known continuation criterion for large-data solutions, by removing the assumptions of mass bounded below and entropy bounded above.
Total citations
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Scholar articles
C Henderson, S Snelson, A Tarfulea - Calculus of Variations and Partial Differential …, 2020