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PROBABILITY MEASURES WITH FINITE MOMENTS AND THE HOMOGENEOUS BOLTZMANN EQUATION
- Cho, Yong-Kum;
- Morimoto, Yoshinori;
- Wang, Shuaikun;
- Yang, Tong
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5초록
We characterize the class of probability measures 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.
키워드
Boltzmann equation; characteristic function; Fourier transform; moment; probability measure; symmetric difference operator; INFINITE ENERGY SOLUTIONS; REGULARITY; MOLECULES; GAS
- 제목
- PROBABILITY MEASURES WITH FINITE MOMENTS AND THE HOMOGENEOUS BOLTZMANN EQUATION
- 저자
- Cho, Yong-Kum; Morimoto, Yoshinori; Wang, Shuaikun; Yang, Tong
- 발행일
- 2016
- 유형
- Article
- 권
- 48
- 호
- 4
- 페이지
- 2399 ~ 2413