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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

李希亮 教授, 山东工商学院    

 

Inviter:  
Title:
Random Attractors for Parabolic Equations with Additive Noise in Weighted Spaces
Time & Venue:
2017.11.24 14:00-15:00 N613
Abstract:

In this talk, we establish the existence of random attractors for stochastic parabolic equations driven by additive noise as well as deterministic non-autonomous forcing terms in weighted Lebesgue spaces . The nonlinearity f(x,u) of the equation depending on the spatial variable does not have bound on the derivative in u, and then causes critical exponent. In subcritical and critical cases, we get the dissipativeness, and by smoothing property of heat semigroup in weighted space, the asymptotical compactness of random dynamical system corresponding to the original system is derived. 

 

 

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