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 | |
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 | |
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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