Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides-Reference-Cited by-同舟云学术

Asymptotic synchronization of a coupled system of wave equations on a rectangular domain with reflecting sides

Published:2021-04-23 Issue: Volume: Page:1-18
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Li Tatsien¹,Rao Bopeng²³

Affiliation:

1. Shanghai Key Laboratory for Contemporary Applied Mathematic, Nonlinear Mathematical Modeling and Methods Laboratory, School of Mathematical Sciences, Fudan University, Shanghai 200433, China. E-mail: dqli@fudan.edu.cn

2. Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084 Strasbourg, France. E-mail: bopeng.rao@math.unistra.fr

3. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Abstract

We show the sufficiency of Kalman’s rank condition for the uniqueness of solution to a coupled system of wave equations in a rectangular domain. The approach does not need any gap condition on the spectrum of the differential operator and the usual multiplier geometrical condition. Then, the study on the asymptotic synchronization by groups can be improved for the corresponding system.

Publisher

IOS Press

Subject

General Mathematics

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