Null controllability for stochastic coupled systems of fourth order parabolic equations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929311723814912 |
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| author | Wang, Yu |
| author_facet | Wang, Yu |
| contents | This paper aims to establish null controllability for systems coupled by two backward fourth order stochastic parabolic equations. The main goal is to control both equations with only one control act on the drift term. To achieve this, we develop a new global Carleman estimate for fourth order stochastic parabolic equations, which allows us to deduce a suitable observability inequality for the adjoint systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18556 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Null controllability for stochastic coupled systems of fourth order parabolic equations Wang, Yu Optimization and Control This paper aims to establish null controllability for systems coupled by two backward fourth order stochastic parabolic equations. The main goal is to control both equations with only one control act on the drift term. To achieve this, we develop a new global Carleman estimate for fourth order stochastic parabolic equations, which allows us to deduce a suitable observability inequality for the adjoint systems. |
| title | Null controllability for stochastic coupled systems of fourth order parabolic equations |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2311.18556 |