On the concept of Yosida distance and beyond
Người báo cáo: Bùi Xuân Quang (PHENIKAA University)
Thời gian: 9h30 ngày 16/09/2025
Địa điểm: Phòng 508, nhà A6, Viện Toán học
Tóm tắt: The aim of this talk is to introduce the concept of the Yosida distance between two unbounded linear operators and to present some recent results related to this notion. I will begin by recalling some known results on linear and nonlinear perturbations of exponential dichotomies. Afterwards, I will explain the ideas that motivated the definition of the Yosida distance. In the final part, I illustrate how this distance serves as a suitable tool for studying unbounded perturbations, with recent applications to linear partial functional differential equations, stability radii, and the well-posedness of linear evolution equations.
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