Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 09 Sep 2023 English Publisher:MDPI AGJournal:Mathematics, volume 11, page 3,855 (eissn: 2227-7390,

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Authors: Lizhi Cui; Jing Lu;

doi: 10.3390/math11183855

Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary

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Abstract

In this paper, exact null controllability of one-dimensional wave equations in non-cylindrical domains was discussed. It is different from past papers, as we consider boundary conditions for more complex cases. The wave equations have a mixed Dirichlet–Neumann boundary condition. The control is put on the fixed endpoint with a Neumann boundary condition. By using the Hilbert Uniqueness Method, exact null controllability can be obtained.

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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