论文标题

量子正常树上线性schrodinger方程的强烈唯一原理

Hardy uniqueness principle for the linear Schrodinger equation on quantum regular trees

论文作者

Fernández-Bertolin, Aingeru, Grecu, Andreea, Ignat, Liviu I.

论文摘要

在本文中,我们考虑了一棵无限长度边缘的常规树上的线性schrodinger方程(LSE),并分析了一些独特的延续性能。纸张的第一部分用零件的恒定系数处理了真实线上的LSE,并在常规树的背景下使用了此结果。第二部分在星形图的框架中处理具有真正潜力的LSE的情况。

In this paper we consider the linear Schrodinger equation (LSE) on a regular tree with the last generation of edges of infinite length and analyze some unique continuation properties. The first part of the paper deals with the LSE on the real line with a piece-wise constant coefficient and uses this result in the context of regular trees. The second part treats the case of a LSE with a real potential in the framework of a star-shaped graph.

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