Spectral analysis of the Schrodinger operator on binary tree-shaped networks and applications

被引：14

作者：

Ammari, Kais ^{[1
]}

Mercier, Denis ^{[2
]}

Regnier, Virginie ^{[2
]}

机构：

[1] Univ Monastir, Fac Sci Monastir, Dept Math, UR Anal & Control Pde,UR 13ES64, Monastir 5019, Tunisia

[2] CNRS, LAMA, UVHC, FR 2956, F-59313 Valenciennes, France

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 12期

关键词：

Tree; Dissipative Schrodinger operator; Riesz basis; Boundary feedback stabilization; Transfer function; EULER-BERNOULLI BEAMS; STABILIZATION; CONTROLLABILITY; CHAIN;

D O I：

10.1016/j.jde.2015.08.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we analyse the spectrum of the dissipative Schrodinger operator on binary tree-shaped networks. As applications, we study the stability of the Schrodinger system using a Riesz basis as well as the transfer function associated to the system. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：6923 / 6959

页数：37

共 27 条

[1]

Abdallah F., 2013, THESIS BEYROUTH LEBA

[2]

Ammari K, 2001, ASYMPTOTIC ANAL, V28, P215

[3] Stabilization of Bernoulli-Euler beams by means of a pointwise feedback force [J].

Ammari, K ;

Tucsnak, M .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 39 (04) :1160-1181

[4] Stabilization of second order evolution equations by a class of unbounded feedbacks [J].

Ammari, K ;

Tucsnak, M .

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2001, 6 (14) :361-386

[5] Remark on stabilization of tree-shaped networks of strings [J].

Ammari, Kais ;

Jellouli, Mohamed .

APPLICATIONS OF MATHEMATICS, 2007, 52 (04) :327-343

[6] BOUNDARY FEEDBACK STABILIZATION OF A CHAIN OF SERIALLY CONNECTED STRINGS [J].

Ammari, Kais ;

Mercier, Dents .

EVOLUTION EQUATIONS AND CONTROL THEORY, 2015, 4 (01) :1-19

[7] SPECTRAL ANALYSIS AND STABILIZATION OF A CHAIN OF SERIALLY CONNECTED EULER-BERNOULLI BEAMS AND STRINGS [J].

Ammari, Kais ;

Mercier, Denis ;

Regnier, Virginie ;

Valein, Julie .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (02) :785-807

[8] Stabilization of generic trees of strings [J].

Ammart, K ;

Jellouli, M ;

Khenissi, M .

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2005, 11 (02) :177-193

[9]

[Anonymous], 2006, Math. Appl. (Berlin)

[10]

[Anonymous], 2015, LECT NOTES MATH

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