Finite time blow up of fourth-order wave equations with nonlinear strain and source terms at high energy level

• Autores: Jihong Shen, Yanbing Yang, Shaohua Chen, Runzhang Xu
• Localización: International Journal of Mathematics, ISSN-e 0129-167X, Vol. 24, Nº. 6, 2013, págs. 25-33
• Idioma: inglés
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• Resumen

  • In this paper, we study the initial boundary value problem for fourth-order wave equations with nonlinear strain and source terms at high energy level. We prove that, for certain initial data in the unstable set, the solution with arbitrarily positive initial energy blows up in finite time.