-random attractors for stochastic reaction–diffusion equations with additive noise

2013 ◽  
Vol 84 ◽  
pp. 61-72 ◽  
Author(s):  
Wenqiang Zhao
Keyword(s):  
Additive Noise ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Random Attractors ◽  
Stochastic Reaction

Attractors with higher-order regularity of stochastic reaction–diffusion equations on time-varying domains

2020 ◽  
Vol 20 (02) ◽  
pp. 2050041
Author(s):  
Lu Yang ◽  
Meihua Yang ◽  
Peter Kloeden
Keyword(s):  
Reaction Diffusion ◽  
Higher Order ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Initial Time ◽  
Regular Space ◽  
Time Varying ◽  
Regularity Properties ◽  
Random Attractors ◽  
Stochastic Reaction

Random attractors and their higher-order regularity properties are studied for stochastic reaction–diffusion equations on time-varying domains. Some new a priori estimates for the difference of solutions near the initial time and the continuous dependence in initial data in [Formula: see text] are proved. Then attraction of the random attractors in the higher integrability space [Formula: see text] for any [Formula: see text] and the regular space [Formula: see text] is established.

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