论文标题
线性兰道方程的分析平滑效果,具有软电位
Analytic smoothing effect of linear landau equation with soft potential
论文作者
论文摘要
在这项工作中,我们研究了具有软潜力的线性Landau方程,并表明在$ l^{2}(\ Mathbb {r}^3)中使用初始基准的Cauchy问题的解决方案享有分析正常化效果,并且分析半径的演变与热方程相同。
In this work, we study the linear Landau equation with soft potential and show that the solution to the Cauchy problem with initial datum in $L^{2}(\mathbb{R}^3)$ enjoys an analytic regularizing effect, and the evolution of analytic radius is same as heat equations.