East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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GLOBAL ATTRACTOR FOR SOME BEAM EQUATION WITH NONLINEAR SOURCE AND DAMPING TERMS

  • Lee, Mi Jin (Department of Mathematics, Pusan National University)
  • Received : 2016.04.05
  • Accepted : 2016.04.27
  • Published : 2016.05.31
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Abstract

Global attractor is a basic concept to study the long-time behavior of solutions of the various equations. This paper is investigated with the existence of a global attractor for the beam equation $$u_{tt}+{\Delta}^2u-{\nabla}{\cdot}\{{\sigma}({\mid}{\nabla}u{\mid}^2){\nabla}u\}+f(u)+a(x)g(u_t)=h,$$ using multipliers technique and Nakao's Lemma.

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References

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