Carlos A. Raposo, Hoang Nguyen, Joilson O. Ribeiro, Vanessa Barros
Abstract:
Well-posedness and exponential stability of nonlocal time-delayed of
a wave equation with a integral conditions of the 1st kind forms the center
of this work. Through semigroup theory we prove the well-posedness by
the Hille-Yosida theorem and the exponential stability exploring the
dissipative properties of the linear operator associated to damped model
using the Gearhart-Huang-Pruss theorem.
Submitted July 24, 2017. Published November 10, 2017.
Math Subject Classifications: 35L05, 35B35, 35L51.
Key Words: Well-posedness; exponential stability; wave equation; semigroup.
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Carlos Alberto Raposo Departamento de Matemática e Estatística Universidade Federal de São João del-Rei, Brazil email: raposo@ufsj.edu.br |
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Huy Hoang Nguyen Instituto de Matemática and Campus de Xerém Universidade Federal do Rio de Janeiro, Brazil email: nguyen@im.ufrj.br |
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Joilson Oliveira Ribeiro Instituto de Matemática Universidade Federal da Bahia, Brazil email: joilsonor@ufba.br |
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Vanessa Barros de Oliveira Instituto de Matemática Universidade Federal da Bahia, Brazil email: vbarrosoliveira@gmail.com |
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