In this work, we study the linearized Landau equation with soft potentials and show that the smooth solution to the Cauchy problem with initial datum in $L^{2}(\mathbb{R}^3)$ enjoys an analytic regularization effect, and that the evolution of the analytic radius is the same as the heat equations.
Haoguang LI
,
Chaojiang XU
. THE ANALYTIC SMOOTHING EFFECT OF LINEAR LANDAU EQUATION WITH SOFT POTENTIALS*[J]. Acta mathematica scientia, Series B, 2023
, 43(6)
: 2597
-2614
.
DOI: 10.1007/s10473-023-0617-2
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