Carleman estimates for stochastic parabolic equations with Neumann boundary conditions and applications |
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| Authors: | Yuqing Yan |
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| Institution: | 1. School of Mathematical Sciences, Sichuan University, Chendu 610064, China;2. College of Science, Zhejiang University of Technology, Hangzhou 310023, China |
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| Abstract: | By a dual method, two Carleman estimates for forward and backward stochastic parabolic equations with Neumann boundary conditions are established. Then they are used to study a null controllability problem and a state observation problem for some stochastic forward parabolic equations with Neumann boundary conditions. |
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| Keywords: | Carleman estimates Null controllability State observation Stochastic parabolic equations Neumann boundary conditions |
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