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Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping

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  • Zhou, Jun

Abstract

The initial boundary value problem for a Kirchhoff type plate equation in a bounded domain is considered. We show the blow-up of solutions and the lifespan estimates for three different ranges of initial energy. Global existence of solutions is proved by the potential well theory, and decay estimates of the energy function are established by using Nakao’s inequality.

Suggested Citation

  • Zhou, Jun, 2015. "Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 807-818.
    • Handle: RePEc:eee:apmaco:v:265:y:2015:i:c:p:807-818
    DOI: 10.1016/j.amc.2015.05.098
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    Cited by:

    1. Lishan Liu & Fenglong Sun & Yonghong Wu, 2020. "Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy," Partial Differential Equations and Applications, Springer, vol. 1(5), pages 1-18, October.

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