中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：Aleksandr Logunov （University of Geneva）
题 目：Landis' conjecture on exponential localization
时 间：2023.10.12（星期四）16:30-17:30
地 点：Zoom ID: 3329836068 Password:mcm1234
摘 要：Landis' conjecture states that if $u$ is a non-zero solution to $\Delta u + V u =0 in the Euclidean space, where $V$ is a real, bounded function, then $u$ cannot decay faster than exponentially at infinity. We will discuss the subtleties of the problem and a two-dimensional method, which prohibits the decay $|u(x)| \leq exp(-|x|^{1+\epsilon})$. Based on a joint work with E.Malinnikova, N.Nadirashvili and F. Nazarov.
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