中文

Journal of Shanghai University（Natural Science Edition） ›› 2006, Vol. 13 ›› Issue (3): 260-265 .

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Existence of Random Attractor for Strongly Damped-Stochastic sine-Gordon Equation

YIN Fu-qi,ZHOU Sheng-fan,LI Hong-yan   

  1. School of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2005-07-15 Revised:1900-01-01 Online:2006-06-30 Published:2006-06-30
  • Contact: ZHOU Sheng-fan

Abstract:

A strongly damped stochastic sineGordon equation is considered. By introducing weight norm and splitting positivity of the linear operator in the corresponding evolution equation of the first order with respect to time, existence of a compact random attractor is shown for a stochastic dynamical system generated by strongly damped sineGordon equations with white noise.

Key words: random attractor, stochastic differential equation, Wiener process

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strongly damped