论文标题
带有恒定磁场的Kramers-Fokker-Planck二次操作员的研究
Study of the Kramers-Fokker-Planck quadratic operator with a constant magnetic field
论文作者
论文摘要
我们研究具有恒定磁场且具有二次潜力的二次kramers-fokker-Planck运算符。我们描述了在平衡附近与操作员相关的半组规范的确切表达。在这个级别上，当磁性参数$ b $倾向于无限时，该规范的明确和准确估计值较小和均匀的估计。
We study the quadratic Kramers-Fokker-Planck operator with a constant magnetic field and with a quadratic potential. We describe the exact expression of the norm of the semi-group associated to the operator near the equilibrium. At this level, explicit and accurate estimates of this norm are shown in small and long times as well as uniform-in-time estimates when the magnetic parameter $b$ tends to infinity.
