Regularity of non-cutoff Boltzmann equation with hard potential
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 4513-4536 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 53 |
| Issue number | 4 |
| Online published | 10 Aug 2021 |
| Publication status | Published - 2021 |
Link(s)
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.
Research Area(s)
- Boltzmann equation without cutoff, Pseudodifferential calculus, Regularity, Smoothing effect
Citation Format(s)
Regularity of non-cutoff Boltzmann equation with hard potential. / DENG, Dingqun.
In: SIAM Journal on Mathematical Analysis, Vol. 53, No. 4, 2021, p. 4513-4536.
In: SIAM Journal on Mathematical Analysis, Vol. 53, No. 4, 2021, p. 4513-4536.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
