Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential
Uniqueness of solutions for the non-cutoff Boltzmann equation with soft potential
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DOI：
10.3934/krm.2011.4.919
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发表时间：
2011-11
影响因子：
1
通讯作者：
Radjesvarane Alexandre;Y. Morimoto;S. Ukai;Chao-Jiang Xu;Tong Yang
中科院分区：
文献类型：
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作者：
Radjesvarane Alexandre;Y. Morimoto;S. Ukai;Chao-Jiang Xu;Tong Yang
本文考虑了软势情况下非截止玻尔兹曼方程的柯西问题。利用碰撞前后速度变量的奇异变化，证明了柯西问题在速度变量具有多项式衰减的函数空间中弱解的唯一性。
In this paper, we consider the Cauchy problem for the non-cutoff Boltzmann equation in the soft potential case. By using a singular change of velocity variables before and after collision, we prove the uniqueness of weak solutions to the Cauchy problem in the space of functions with polynomial decay in the velocity variable.