Global null controllability of stochastic semilinear complex Ginzburg-Landau equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917742205992960 |
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| author | Zhang, Sen Gao, Hang Yuan, Ganghua |
| author_facet | Zhang, Sen Gao, Hang Yuan, Ganghua |
| contents | In this paper, we study the null controllability of forward and backward stochastic semilinear complex Ginzburg-Landau equations with global Lipschitz nonlinear terms. For this purpose, by deriving an improved global Carleman estimates for linear systems, we obtain the controllability results for the stochastic linear systems with a $L^2$-valued source term. Based on it, together with a Banach fixed point argument, the desired null controllability of semilinear systems is derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03114 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global null controllability of stochastic semilinear complex Ginzburg-Landau equations Zhang, Sen Gao, Hang Yuan, Ganghua Optimization and Control In this paper, we study the null controllability of forward and backward stochastic semilinear complex Ginzburg-Landau equations with global Lipschitz nonlinear terms. For this purpose, by deriving an improved global Carleman estimates for linear systems, we obtain the controllability results for the stochastic linear systems with a $L^2$-valued source term. Based on it, together with a Banach fixed point argument, the desired null controllability of semilinear systems is derived. |
| title | Global null controllability of stochastic semilinear complex Ginzburg-Landau equations |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2408.03114 |