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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2306.10295 |
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| _version_ | 1866917581673201664 |
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| author | Khanh, Huynh Kien, Bui Trong |
| author_facet | Khanh, Huynh Kien, Bui Trong |
| contents | A class of optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints is considered. We give some criteria under which the first and second-order optimality conditions are of KKT-type. We then prove that the Lagrange multipliers belong to $L^p$-spaces. Moreover, we show that if the initial value is good enough and boundary $\partialΩ$ has a property of positive geometric density, then multipliers and optimal solutions are Hölder continuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_10295 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Regularity of multipliers and second-order optimality conditions for semilinear parabolic optimal control problems with mixed pointwise constraints Khanh, Huynh Kien, Bui Trong Optimization and Control A class of optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints is considered. We give some criteria under which the first and second-order optimality conditions are of KKT-type. We then prove that the Lagrange multipliers belong to $L^p$-spaces. Moreover, we show that if the initial value is good enough and boundary $\partialΩ$ has a property of positive geometric density, then multipliers and optimal solutions are Hölder continuous. |
| title | Regularity of multipliers and second-order optimality conditions for semilinear parabolic optimal control problems with mixed pointwise constraints |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2306.10295 |