Probability measures with finite moments and the homogeneous Boltzmann equation
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) | 2399-2413 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 48 |
| Issue number | 4 |
| Online published | 12 Jul 2016 |
| Publication status | Published - 2016 |
Link(s)
Abstract
We characterize the class of probability measu res possessing finite moments of an arbitrary positive order in terms of the symmetric difference operators of their Fourier transforms. As an application, we prove the continuity of probability densities associated with measure-valued solutions to the Cauchy problem for the homogeneous Boltzmann equation with Maxwellian molecules.
Research Area(s)
- Boltzmann equation, Characteristic function, Fourier transform, Moment, Probability measure, Symmetric difference operator
Citation Format(s)
Probability measures with finite moments and the homogeneous Boltzmann equation. / CHO, Yong-Kum; MORIMOTO, Yoshinori; WANG, Shuaikun et al.
In: SIAM Journal on Mathematical Analysis, Vol. 48, No. 4, 2016, p. 2399-2413.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
