Electron. J. Differential Equations,
Vol. 2017 (2017), No. 06, pp. 1-16.
Exact boundary controllability for a series of membranes elastically connected
Waldemar D. Bastos, Ruikson S. O. Nunes, Joao Manoel Soriano Pitot
Abstract:
In this article we study the exact controllability with Neumann
boundary controls for a system of linear wave equations coupled in
parallel by lower order terms on piecewise smooth domains of the plane.
We obtain square integrable controls for initial state with finite energy
and time of controllability near the optimal value.
Submitted September 28, 2016. Published January 5, 2017.
Math Subject Classifications: 35L52, 35L53, 35B40, 35B45, 93B05, 49J20.
Key Words: Boundary control; exact controllability; coupled wave equations;
Neumann control.
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Waldemar D. Bastos
UNESP - São Paulo State University
IBILCE, Department of Mathematics
Rua Cristóvão Colombo, 2265, Jd. Nazareth
CEP: 15054-000, São José do Rio Preto, SP, Brazil
email: waldemar@ibilce.unesp.br
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Ruikson S. O. Nunes
UFMT- Federal University of Mato Grosso
ICET, Department of Mathematics
Avenida Fernando Corrêa, 2367, Boa Esperança
CEP: 78060-900, Cuiabá, MT, Brazil
email: ruiksonsillas@hotmail.com
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João Manoel Soriano Pitot
UNESP - São Paulo State University
IBILCE, Department of Mathematics
Rua Cristóvão Colombo, 2265, Jd. Nazareth
CEP: 15054-000, São José do Rio Preto, SP, Brazil
email: john.pitot@gmail.com
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