Insensitizing controls for stochastic parabolic equations with dynamic boundary conditions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915040056049664 |
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| author | Baroun, Mahmoud Boulite, Said Elgrou, Abdellatif Oukdach, Omar |
| author_facet | Baroun, Mahmoud Boulite, Said Elgrou, Abdellatif Oukdach, Omar |
| contents | In this paper, we continue the study of some controllability issues for the forward stochastic heat equation with dynamic boundary conditions. The main novelty in the present paper consists of considering only one control without extra forces in the noise parts. Under a strong measurability condition, and using a spectral inequality, we first establish an appropriate observability inequality for the corresponding adjoint system. Then, by the classical duality approach, the null and approximate controllability results are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Insensitizing controls for stochastic parabolic equations with dynamic boundary conditions Baroun, Mahmoud Boulite, Said Elgrou, Abdellatif Oukdach, Omar Optimization and Control Analysis of PDEs In this paper, we continue the study of some controllability issues for the forward stochastic heat equation with dynamic boundary conditions. The main novelty in the present paper consists of considering only one control without extra forces in the noise parts. Under a strong measurability condition, and using a spectral inequality, we first establish an appropriate observability inequality for the corresponding adjoint system. Then, by the classical duality approach, the null and approximate controllability results are established. |
| title | Insensitizing controls for stochastic parabolic equations with dynamic boundary conditions |
| topic | Optimization and Control Analysis of PDEs |
| url | https://arxiv.org/abs/2411.18501 |