volume 0, issue 0, P0 2021
DOI: 10.3934/dcdsb.2021026
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Mengyu Cheng, Zhenxin Liu

Abstract: In this paper, we use the variational approach to investigate recurrent properties of solutions for stochastic partial differential equations, which is in contrast to the previous semigroup framework. Consider stochastic differential equations with monotone coefficients. Firstly, we establish the continuous dependence on initial values and coefficients for solutions, which is interesting in its own right. Secondly, we prove the existence of recurrent solutions, which include periodic, almost periodic and almos…

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