论文标题
$ w_k^{ζ，p} l^\ infty_tl^2_v $ in Boltzmann方程无需截止的全局解决方案
Global solutions in $W_k^{ζ,p}L^\infty_TL^2_v$ for the Boltzmann equation without cutoff
论文作者
论文摘要
考虑在三维周期域中没有角截止的玻尔兹曼方程。功能空间中解决方案的全球存在$ W_K^{ζ，P} l^\ infty_tl^2_v $带有$ p> 1 $和$ζ> 3（1- \ frac {1} {p}）$在跨性能框架中建立了解决方案的长期行为，也可以在很难获得的解决方案中获得。证明基于几个规范估计。
The Boltzmann equation without an angular cutoff in a three-dimensional periodic domain is considered. The global-in-time existence of solutions in a function space $ W_k^{ζ,p}L^\infty_TL^2_v $ with $p>1$ and $ζ>3(1-\frac{1}{p})$ is established in the perturbation framework and the long-time behavior of solutions is also obtained for both hard and soft potentials. The proof is based on several norm estimates.
