Exact Null Controllability of a One-Dimensional Wave Equation with a Mixed Boundary-Reference-Cited by-同舟云学术

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

Published:2023-09-09 Issue:18 Volume:11 Page:3855
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Cui Lizhi¹,Lu Jing¹

Affiliation:

1. College of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, China

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/18/3855/pdf

Reference14 articles.

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3. Control and stabilization for the wave equation, Domain with moving boundary;Bardos;SIAM J. Control Optim.,1981

4. Exact controllability for a string equation in domains with moving boundary in one dimension;Sun;Electron. J. Differ. Equ.,2015

5. Exact controllability for a one-dimensional wave equation with fixed endpoint control;Cui;Bound. Value Probl.,2015

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