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arXiv · 2501.18621

Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain

Isaías Pereira de Jesus
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Abstract

This paper deals with the controllability for a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. This equation models small vibrations of a string where an endpoint is fixed and the other is moving. As usual, we consider one main control (the leader) and an additional secondary control (the follower). We use Stackelberg-Nash strategies.

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Isaías Pereira de Jesus. 2025-01-26. Controllability for a One-Dimensional Wave Equation in a Non-cylindrical Domain. https://doi.org/10.1007/s00009-019-1393-z

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