Interior controllability of semi-linear degenerate wave equations

被引：11

作者：

Zhang, Muming ^{[1
]}

Gao, Hang ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 457卷 / 01期

关键词：

Controllability; Observability; Unique continuation; Degenerate wave equation; BOUNDARY CONTROLLABILITY; OBSERVABILITY ESTIMATE; HYPERBOLIC-EQUATIONS; STABILIZATION; SYSTEMS;

D O I：

10.1016/j.jmaa.2017.07.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of interior controls for one-dimensional semi-linear degenerate wave equations. By using a duality argument, we reduce the problem to an observability estimate for the linear degenerate wave equation. First, the unique continuation for the degenerate wave equation is established. By means of this, and the multiplier method, we obtain the observability estimate. (c) 2017 Published by Elsevier Inc.

引用

页码：10 / 22

页数：13

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