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Dong Zhao; Zhang Rangrang
Source Publicationsciencechinamathematics
AbstractThis paper studies some analytical properties of weak solutions of 3D stochastic primitive equations with periodic boundary conditions. The martingale problem associated to this model is shown to have a family of solutions satisfying the Markov property, which is achieved by means of an abstract selection principle. The Markov property is crucial to extend the regularity of the transition semigroup from small times to arbitrary times. Thus, under a regular additive noise, every Markov solution is shown to have a property of continuous dependence on initial conditions, which follows from employing the weak-strong uniqueness principle and the Bismut-Elworthy-Li formula.
Document Type期刊论文
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GB/T 7714
Dong Zhao,Zhang Rangrang. markovselectionandwstrongfellerfor3dstochasticprimitiveequations[J]. sciencechinamathematics,2017,60(10):1873.
APA Dong Zhao,&Zhang Rangrang.(2017).markovselectionandwstrongfellerfor3dstochasticprimitiveequations.sciencechinamathematics,60(10),1873.
MLA Dong Zhao,et al."markovselectionandwstrongfellerfor3dstochasticprimitiveequations".sciencechinamathematics 60.10(2017):1873.
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