Spectral analysis of the Schrödinger operator on binary tree-shaped networks and applications
Spectral analysis of the Schrödinger operator on binary tree-shaped networks and applications
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DOI：
10.1016/j.jde.2015.08.017
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发表时间：
2015-12
影响因子：
2.4
通讯作者：
K. Ammari;D. Mercier;V. Régnier
中科院分区：
文献类型：
--
作者：
K. Ammari;D. Mercier;V. Régnier
本文分析了二叉树状网络上的耗散Schrödinger算子的谱。作为应用，我们使用Riesz基以及与系统相关的传递函数来研究Schrödinger系统的稳定性。
In this paper we analyse the spectrum of the dissipative Schrödinger operator on binary tree-shaped networks. As applications, we study the stability of the Schrödinger system using a Riesz basis as well as the transfer function associated to the system.