Exact controllability for degenerate and singular wave equations

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. For more information see https://ejde.math.txstate.edu/Volumes/2025/04/abstr.html

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Publication Details

Journal
Electronic Journal of Differential Equations
Published
2025-01-09
DOI
https://doi.org/10.58997/ejde.2025.05
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Exact controllability for degenerate and singular wave equations

Shugen Chai, Guang Zhang
Electronic Journal of Differential Equations
Stability and Controllability of Differential Equations
article

Exact controllability for degenerate and singular wave equations

Shugen Chai, Guang Zhang
article en

Abstract

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. For more information see https://ejde.math.txstate.edu/Volumes/2025/04/abstr.html

Electronic Journal of Differential EquationsVol. 2025(01-??)
Shanxi University (CN)
National Natural Science Foundation of China
Reduced inequalities
Openalex Percentile: Top 99%
Stability and Controllability of Differential Equations
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