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.
| Original language | English |
|---|---|
| Pages (from-to) | 2399-2413 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 48 |
| Issue number | 4 |
| Online published | 12 Jul 2016 |
| DOIs | |
| Publication status | Published - 2016 |
Research Keywords
- Boltzmann equation
- Characteristic function
- Fourier transform
- Moment
- Probability measure
- Symmetric difference operator
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: © 2016 Society for Industrial and Applied Mathematics.
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Dive into the research topics of 'Probability measures with finite moments and the homogeneous Boltzmann equation'. Together they form a unique fingerprint.Projects
- 1 Finished
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GRF: Regularization of Measure Valued Solutions to the Boltzmann Equation and Some Related Problems
YANG, T. (Principal Investigator / Project Coordinator)
1/07/14 → 23/05/18
Project: Research
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