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The stationary solution is a natural extension of the fixed point in a deterministic dynamical system to the stochastic case. However, due to the existence of external random force in the stochastic system generated by SPDE, the construction of stationary solution is difficult to realize. In our joint work with Huaizhong Zhao, we use the backward stochastic differential equations to construct the stationary solutions of SPDEs, which was proved to be a feasible method to this issue. In this talk, i would like to introduce the process of our work on the stationary solutions of SPDEs. |
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