论文标题
可观察到kolmogorov型方程的关键时间
Critical time for the observability of Kolmogorov-type equations
论文作者
论文摘要
本文致力于一类二维Kolmogorov型方程的可观察性，这些方程呈现出二次变性。我们在关键时间给予下限和上限。这些边界在对称环境中重合，在这些情况下产生了巨大的结果。该证明是基于卡尔曼估计值和非频道schrödinger操作员家族的光谱特性，特别是对相应特征功能的第一个特征值和agmon类型估计的定位。
This paper is devoted to the observability of a class of two-dimensional Kolmogorov-type equations presenting a quadratic degeneracy. We give lower and upper bounds for the critical time. These bounds coincide in symmetric settings, giving a sharp result in these cases. The proof is based on Carleman estimates and on the spectral properties of a family of non-selfadjoint Schrödinger operators, in particular the localization of the first eigenvalue and Agmon type estimates for the corresponding eigenfunctions.
