Stabilization for a Nonlinear Beam Equation with Localized Damping

Authors

  • Helvécio Rubens Crippa Universidade do Estado do Rio de Janeiro
  • Gladson Octaviano Antunes Universidade Federal do Estado do Rio de Janeiro

DOI:

https://doi.org/10.12957/cadmat.2013.13699

Keywords:

Beam Equation, Localized Damping, Exponencial Decay

Abstract

In this paper, we investigate the exponential decay of the energy of a nonlinear bean equation with boundary clamped condition and a local linear dissipation of the type a(x)u_t. The method of proof is direct and is based on the multipliers technique and some integral inequalities due to Haraux and we obtain explicit decay rate.

Downloads

Download data is not yet available.

Downloads

Published

2013-12-01

How to Cite

Crippa, H. R., & Antunes, G. O. (2013). Stabilization for a Nonlinear Beam Equation with Localized Damping. Cadernos Do IME - Série Matemática, 7. https://doi.org/10.12957/cadmat.2013.13699

Issue

Vol. 7 (2013)

Section

Articles

License

The Copyright of the articles published in the journal Cadernos do IME - Série Matemática belongs to the respective author(s), with the rights of first publication assigned to the journal.

Licença Creative Commons
Cadernos do IME - Série Matemática está licenciado com uma Licença Creative Commons Atribuição-NãoComercial-CompartilhaIgual 4.0 Internacional.