Null controllability for stochastic semi-discrete parabolic equations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909112183291904 |
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| author | Zhao, Qingmei |
| author_facet | Zhao, Qingmei |
| contents | In this paper, we present a null controllability result for a class of stochastic semi-discrete parabolic equations. For this purpose, an observability estimate is established for backward stochastic semi-discrete parabolic equations, with an explicit observability constant that depends on the discretization parameter. This estimate is obtained by a new Carleman estimate for backward stochastic semi-discrete parabolic operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Null controllability for stochastic semi-discrete parabolic equations Zhao, Qingmei Optimization and Control In this paper, we present a null controllability result for a class of stochastic semi-discrete parabolic equations. For this purpose, an observability estimate is established for backward stochastic semi-discrete parabolic equations, with an explicit observability constant that depends on the discretization parameter. This estimate is obtained by a new Carleman estimate for backward stochastic semi-discrete parabolic operators. |
| title | Null controllability for stochastic semi-discrete parabolic equations |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2402.12651 |