EXACT CONTROLLABILITY FOR DEGENERATE AND SINGULAR WAVE EQUATIONS

被引：0

作者：

Zhang, Guang ^{[1
]}

Chai, Shugen ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math & Stat, Taiyuan 030006, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 2025卷

基金：

中国国家自然科学基金;

关键词：

Degenerate wave equation; singular wave equation; controllability; boundary control; NULL CONTROLLABILITY; BOUNDARY CONTROLLABILITY; PARABOLIC EQUATIONS; NONDIVERGENCE FORM; STABILIZATION; INEQUALITIES; STABILITY;

D O I：

10.58997/ejde.2025.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this article, we study exact controllability for degenerate and singular wave equations with a general coefficient. We estimate the observability inequality by the multiplier method and determine the observability time. We also deduce the exact controllability of the corresponding degenerate and singular control problem at a sufficiently large time, employing the Hilbert uniqueness method.

引用

页码：1 / 17

页数：17

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