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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.13954 |
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| _version_ | 1866912334933393408 |
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| author | Kumbhakar, Bholanath Deeksha Pandey, Dwijendra Narain |
| author_facet | Kumbhakar, Bholanath Deeksha Pandey, Dwijendra Narain |
| contents | In this paper, we discuss the approximate controllability for control systems governed by stochastic evolution hemivariational inequalities in Hilbert spaces. The interest in studying this type of equation comes from its application in some physical models like the thermostat temperature control or the diffusion through semi-permeable walls. Firstly, we introduce the concept of weak solutions for hemivariational inequalities. Then, the controllability is formulated by utilizing stochastic analysis techniques and properties of Clarke subdifferential operators, as well as applying multivalued fixed point theorem. Finally, we conclude this article by an application in stochastic heat propagation problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_13954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Approximate Controllability of Stochastic Hemivariational Control problem in Hilbert spaces Kumbhakar, Bholanath Deeksha Pandey, Dwijendra Narain Optimization and Control In this paper, we discuss the approximate controllability for control systems governed by stochastic evolution hemivariational inequalities in Hilbert spaces. The interest in studying this type of equation comes from its application in some physical models like the thermostat temperature control or the diffusion through semi-permeable walls. Firstly, we introduce the concept of weak solutions for hemivariational inequalities. Then, the controllability is formulated by utilizing stochastic analysis techniques and properties of Clarke subdifferential operators, as well as applying multivalued fixed point theorem. Finally, we conclude this article by an application in stochastic heat propagation problem. |
| title | Approximate Controllability of Stochastic Hemivariational Control problem in Hilbert spaces |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2504.13954 |