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Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms

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  • Erhan Pişkin

Abstract

We consider initial‐boundary conditions for coupled nonlinear wave equations with damping and source terms. We prove that the solutions of the problem are unbounded when the initial data are large enough in some sense.

Suggested Citation

  • Erhan Pişkin, 2015. "Growth of Solutions with Positive Initial Energy to Systems of Nonlinear Wave Equations with Damping and Source Terms," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:523254
    DOI: 10.1155/2015/523254
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    References listed on IDEAS

    as
    1. Yaojun Ye, 2013. "Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, October.
    2. Yaojun Ye, 2013. "Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Liang Fei & Gao Hongjun, 2011. "Global Nonexistence of Positive Initial‐Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. Liang Fei & Gao Hongjun, 2011. "Global Nonexistence of Positive Initial-Energy Solutions for Coupled Nonlinear Wave Equations with Damping and Source Terms," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, August.
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