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ON THE GAIN OF REGULARITY FOR THE POSITIVE PART OF BOLTZMANN COLLISION OPERATOR ASSOCIATED WITH SOFT-POTENTIALS
- Cho, Yong-Kum;
- Yun, Hera
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2초록
As for the positive part of Boltzmann's collision operator associated with the collision kernel of soft-potential type, we evaluate its Fourier transform explicitly and prove a set of bilinear estimates for L-P and Sobolev regularity.
키워드
Boltzmann equation; bilinear fractional integral; collision; cutoff; Fourier transform; Hausdorff-Young type inequality; regularity; Sobolev space; soft-potential; FOURIER INTEGRAL-OPERATORS; EQUATION; COMPACTNESS
- 제목
- ON THE GAIN OF REGULARITY FOR THE POSITIVE PART OF BOLTZMANN COLLISION OPERATOR ASSOCIATED WITH SOFT-POTENTIALS
- 저자
- Cho, Yong-Kum; Yun, Hera
- 발행일
- 2012-12
- 유형
- Article
- 권
- 5
- 호
- 4
- 페이지
- 769 ~ 786