论文标题
关于在最大规律性的背景下观察操作员的可接受性
On the admissibility of observation operators in the context of maximal regularity
论文作者
论文摘要
我们使用最大规律性的概念研究了可接受的观察算子，以进行扰动的进化方程。我们首先显示在非自治的Miyadera-Voigt扰动下，最大$ l^p $的不变性。其次，我们在这样一类扰动下建立了观察操作员的可接受性的不变性。最后，我们用两个示例说明了结果，一个示例在非自主抛物线系统上，另一个在具有混合边界条件和非本地扰动的演化方程式上进行了说明。
We study admissible observation operators for perturbed evolution equations using the concept of maximal regularity. We first show the invariance of the maximal $L^p$-regularity under non-autonomous Miyadera-Voigt perturbations. Second, we establish the invariance of admissibility of observation operators under such a class of perturbations. Finally, we illustrate our result with two examples, one on a non-autonomous parabolic system, and the other on an evolution equation with mixed boundary conditions and a non-local perturbation.
