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- Title
Exact controllability of wave equations with internal control in moving boundary domain.
- Authors
Liu, Huimin; Lu, Liqing
- Abstract
This paper studies the internal control of the one-dimensional wave equation in domains with moving boundary. The equation characterizes the motion of a string with a fixed endpoint and the other moving one. We derive the interior controllability for wave equation by using the multiplier method. Moreover, the sharper estimate on the controllability time that only depends on the speed of the moving endpoint is given.
- Subjects
INTERNAL waves; INTERNAL auditing; EQUATIONS of motion; WAVE equation; CONTROLLABILITY in systems engineering; CARLEMAN theorem
- Publication
Evolution Equations & Control Theory, 2024, Vol 13, Issue 3, p1
- ISSN
2163-2480
- Publication type
Article
- DOI
10.3934/eect.2023062