论文标题
关于线性兰道方程的时间分析的评论，具有软电位
A remark about time-analyticity of the linear Landau equation with soft potential
论文作者
论文摘要
在本说明中，我们研究了带有软电位的线性均匀兰道方程的库奇问题。我们证明，解决库奇问题的解决方案享有时间变量的分析正规化效果，而L2初始基准在正时间为正。因此，对于线性均匀的Landau方程，凯奇问题的平滑效应具有软电位，与热方程式相似。
In this note, we study the Cauchy problem of the linear spatially homogeneous Landau equation with soft potentials. We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time variable with an L2 initial datum for positive time. So that the smoothing effect of Cauchy problem for the linear spatially homogeneous Landau equation with soft potentials is similar to the heat equation.
