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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 3
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Original Articles

Global existence and decay of solutions of a nonlinear system of wave equations

Belkacem Said-Houari Laboratoire de Mathématiques, Université de Savoie, 73376 Le Bourget du Lac, FranceCorrespondence[email protected]
Pages 475-489 | Received 17 Nov 2009, Accepted 10 Dec 2010, Published online: 10 Mar 2011

Citations (10)

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M. J. Dos Santos, M. M. Freitas, A. J. A. Ramos & D. S. Almeida Júnior. (2022) Asymptotic analysis and upper semicontinuity to a system of coupled nonlinear wave equations. Dynamical Systems 37:1, pages 29-55.
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Jorge A. Esquivel-Avila. (2014) Blow up and asymptotic behavior in a nondissipative nonlinear wave equation. Applicable Analysis 93:9, pages 1963-1978.
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Articles from other publishers (10)

Abdelkarim Kelleche. (2022) Well-Posedness and a Blow up Result for a Fractionally Damped Coupled System. Bulletin of the Malaysian Mathematical Sciences Society 46:1.
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Yaojun Ye & Lanlan Li. (2023) Global solutions and blow-up for a class of strongly damped wave equations systems. Frontiers of Mathematics 17:5, pages 767-782.
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Mohamed Jleli, Mokhtar Kirane & Bessem Samet. (2020) Nonexistence of Global Weak Solutions of a System of Nonlinear Wave Equations with Nonlinear Fractional Damping. Journal of Function Spaces 2020, pages 1-8.
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Xiaoli Jiang & Xiaofeng Wang. (2017) Global Well-Posedness for a Class of Kirchhoff-Type Wave System. Advances in Mathematical Physics 2017, pages 1-18.
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Erhan Pişkin. (2015) Blow up of positive initial-energy solutions for coupled nonlinear wave equations with degenerate damping and source terms. Boundary Value Problems 2015:1.
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Erhan Pişkin. (2015) Global nonexistence of solutions for a system of viscoelastic wave equations with weak damping terms. Malaya Journal of Matematik 3:02, pages 168-174.
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Erhan Pişkin & Necat Polat. Blow up of positive initial-energy solutions for a coupled nonlinear higher-order hyperbolic equations. Blow up of positive initial-energy solutions for a coupled nonlinear higher-order hyperbolic equations.
Erhan Pişkin. (2013) Uniform decay and blow‐up of solutions for coupled nonlinear Klein–Gordon equations with nonlinear damping terms. Mathematical Methods in the Applied Sciences 37:18, pages 3036-3047.
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Shun-Tang Wu. (2013) General decay of solutions for a nonlinear system of viscoelastic wave equations with degenerate damping and source terms. Journal of Mathematical Analysis and Applications 406:1, pages 34-48.
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Shun-Tang Wu. (2012) On decay and blow-up of solutions for a system of nonlinear wave equations. Journal of Mathematical Analysis and Applications 394:1, pages 360-377.
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