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Hyperbolic Relaxation of a Fourth Order Evolution Equation

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  • Renato Colucci
  • Gerardo R. Chacón

Abstract

We propose a hyperbolic relaxation of a fourth order evolution equation, with an inertial term , where . We prove the existence of several absorbing sets having different regularities and the existence of a global attractor that is bounded in .

Suggested Citation

  • Renato Colucci & Gerardo R. Chacón, 2013. "Hyperbolic Relaxation of a Fourth Order Evolution Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, March.
    • Handle: RePEc:hin:jnlaaa:372726
    DOI: 10.1155/2013/372726
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