Attractors for Stochastic Sine Gordon Equations via Transformation into Random Equations
نویسنده
چکیده
We prove the existence of random attractors for nonlinear sto-chastic hyperbolic diierential equations. The nonlinearity of this equation has similar properties as the nonlinearity of the Sine Gordon equation. We consider a diiusion term depending on the state variable. To prove the existence of a random attractor we transform the stochastic hyperbolic equation into a random hyperbolic equation without white noise but with random coeecients driven by stationary processes. For this new system we can show the existence of a compact attracting set which is suucient for the existence of a random attractor of the original system.
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