Exact Null Controllability of a Wave Equation with Dirichlet–Neumann Boundary in a Non-Cylindrical Domain

Lizhi Cui () and Jing Lu
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Lizhi Cui: College of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, China
Jing Lu: College of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, China

Mathematics, 2023, vol. 11, issue 15, 1-10

Abstract: In this paper, by applying the Hilbert Uniqueness Method in a non-cylindrical domain, we prove the exact null controllability of one wave equation with a moving boundary. The moving endpoint of this wave equation has a Neumann-type boundary condition, while the fixed endpoint has a Dirichlet boundary condition. We derived the exact null controllability and obtained an exact controllability time of the wave equation.

Keywords: wave equation; non-cylindrical domain; exact null controllability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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