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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Carleman estimates for some stochastic partial differential equations and applications
随机 偏微分方程 卡勒曼估计
2023/5/5
This talk is concerned with the controllability, observability and inverse problems for two types of stochastic partial differential equations, which are degenerate/singular stochastic parabolic equat...
Optimal Control of Stochastic Partial Differential Equations
The maximum principle fully coupled forward-backward doubly stochastic control system
2010/12/15
In this paper, we prove the necessary and sufficient maximum principles (NSMP in short) for the optimal control of system described by a quasilinear stochastic heat equation with the control domain be...
Geometric shape of invariant manifolds for a class of stochastic partial differential equations
Stochastic partial differential equation invariant manifolds geometric shape
2010/12/6
Invariant manifolds play an important role in the study of the qualitative dynamical behaviors for nonlinear stochastic partial differential equations. However, the geometric shape of
these manifolds...