Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 04, pp. 1-17.

Title: Exact controllability for degenerate and singular wave equations

Authors: Guang Zhang (Shanxi Univ., Taiyuan, China)
         Shugen Chai (Shanxi Univ., Taiyuan, China)
  
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


Submitted September 18, 2024. Published January 09, 2025.
Math Subject Classifications: 35L80, 35L81, 35L05, 93B05.
Key Words: Degenerate wave equation; singular wave equation; controllability; boundary control.