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October, 2022 Uniform Stabilization for a Semilinear Wave Equation with Variable Coefficients and Nonlinear Boundary Conditions
El-Hadi Kamel, Abdelhamid Ainouz, Ammar Khemmoudj
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Taiwanese J. Math. 26(5): 981-1001 (October, 2022). DOI: 10.11650/tjm/220302

Abstract

The uniform stabilization of a semilinear wave equation with variable coefficients and nonlinear boundary conditions is considered. The uniform decay rate is established by the Riemannian geometry method.

Funding Statement

The first author would like to express his gratitude to DGRSDT for the financial support.

Acknowledgments

The authors would like to thank the anonymous referees for their valuable suggested comments. The authors are grateful to the editors for their help.

Citation

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El-Hadi Kamel. Abdelhamid Ainouz. Ammar Khemmoudj. "Uniform Stabilization for a Semilinear Wave Equation with Variable Coefficients and Nonlinear Boundary Conditions." Taiwanese J. Math. 26 (5) 981 - 1001, October, 2022. https://doi.org/10.11650/tjm/220302

Information

Received: 27 October 2021; Revised: 22 January 2022; Accepted: 8 March 2022; Published: October, 2022
First available in Project Euclid: 23 March 2022

Digital Object Identifier: 10.11650/tjm/220302

Subjects:
Primary: 35B40 , 35L71
Secondary: 35B35 , 35L05

Keywords: Nonlinear boundary conditions , Riemannian manifold , uniform stabilization , Variable coefficients , wave equations

Rights: Copyright © 2022 The Mathematical Society of the Republic of China

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Vol.26 • No. 5 • October, 2022
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