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

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 18, 1-10

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.

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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