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
Authors
- Shugen Chai
- Guang Zhang (ORCID: https://orcid.org/0000-0001-5745-9005)
Institutions
- Shanxi University (CN)
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
Funders
- National Natural Science Foundation of China