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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 29 Jul 2023 English Publisher:MDPI AGJournal:Mathematics, volume 11, page 3,331 (eissn: 2227-7390,

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Authors: Lizhi Cui; Jing Lu;

doi: 10.3390/math11153331

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

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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.

Related Organizations

Jilin University of Finance and Economics
China (People's Republic of)

Keywords

non-cylindrical domain, exact null controllability, QA1-939, wave equation, Mathematics

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