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Boundary controllability for a degenerate beam equation.
- Source :
-
Mathematical Methods in the Applied Sciences . 1/30/2024, Vol. 47 Issue 2, p907-927. 21p. - Publication Year :
- 2024
-
Abstract
- The paper deals with the controllability of a degenerate beam equation. In particular, we assume that the left end of the beam is fixed, while a suitable control f$$ f $$ acts on the right end of it. As a first step, we prove the existence of a solution for the homogeneous problem, then we prove some estimates on its energy. Thanks to them, we prove an observability inequality, and using the notion of solution by transposition, we prove that the initial problem is null controllable. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*CONTROLLABILITY in systems engineering
*BESSEL beams
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 174443447
- Full Text :
- https://doi.org/10.1002/mma.9692