Isaias P. de Jesus, Eugenio Cabanillas Lapa, Juan Limaco
Abstract:
In this article, we study the boundary controllability for a one-dimensional string
equation on a domain with time-dependent boundary. This equation models small vibrations
of a string with one of its endpoint fixed and other moving with speed k(t).
We use an inverse inequality to obtain a controllability result. We consider a linear
wave equation.
Submitted November 1, 2020. Published July 5, 2021.
Math Subject Classifications: 93B05, 93C05, 93C20.
Key Words: Wave equation; Stackelberg-Nash strategies; controllability; inverse inequality.
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DOI: https://doi.org/10.58997/ejde.2021.60
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Isaías P. de Jesus Universidade Federal do Piauí, DM, Teresina, PI, Brazil email: isaias@ufpi.edu.br |
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Eugenio Cabanillas Lapa Universidad Nacional Mayor de San Marcos Facultad de Ciencias Matem\áticas Instituto de Investigación, Lima, Perú email: cleugenio@yahoo.com |
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Juan Limaco Universidade Federal Fluminense IME, Niterói, RJ, Brazil email: jlimaco@id.uff.br |
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