ASYMPTOTIC BEHAVIOR OF LINEARIZED BOLTZMANN EQUATIONS FOR SOFT POTENTIALS WITH CUT-OFF

被引：0

作者：

Wu, Yakui ^{[1
,2
]}

Sun, Jiawei ^{[3
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Jiujiang Univ, Coll Sci, Jiujiang 332005, Jiangxi, Peoples R China

[3] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年

基金：

中国国家自然科学基金;

关键词：

Linearized Boltzmann operator; soft potentials; spectrum; semigroup; time decay; estimates;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the asymptotic behavior of the linearized Boltzmann equation for soft potentials with cut-off. By introducing a new decomposition of the linearized Boltzmann operator, we analyze the spectrum of the linearized Boltzmann operator and obtain the asymptotic behaviors of the linearized Boltzmann equation for gamma is an element of(-3, 0), extending the result in [12] for gamma is an element of(-1, 0).

引用

页数：21

共 50 条

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DRANGE, HB
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[2] INTEGRAL-PART OF LINEARIZED BOLTZMANN OPERATOR WITH CUT-OFF
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[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 280 (23): : 1649 - 1651
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