Abstract
This article proves the regularity for the Boltzmann equation without angular cutoff with hard potential. By sharpening the coercivity and upper bound estimate on the collision operator, analyzing the Poisson bracket between the transport operator and some weighted pseudodifferential operator, we prove the regularizing effect in space and velocity variables when the initial data have mild regularity.
| Original language | English |
|---|---|
| Pages (from-to) | 4513-4536 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 53 |
| Issue number | 4 |
| Online published | 10 Aug 2021 |
| DOIs | |
| Publication status | Published - 2021 |
Research Keywords
- Boltzmann equation without cutoff
- Pseudodifferential calculus
- Regularity
- Smoothing effect
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: © 2021 Society for Industrial and Applied Mathematics.
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