Optimization problems for elliptic PDEs
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866909981177020416 |
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| author | Buttazzo, Giuseppe Casado-Díaz, Juan Maestre, Faustino |
| author_facet | Buttazzo, Giuseppe Casado-Díaz, Juan Maestre, Faustino |
| contents | In this paper we consider some optimal control problems governed by elliptic partial differential equations. The solution is the state variable, while the control variable is, depending on the case, the coefficient of the PDE, the potential, the right-hand side. The cost functional is of integral type and involves both the state and control variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01591 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimization problems for elliptic PDEs Buttazzo, Giuseppe Casado-Díaz, Juan Maestre, Faustino Optimization and Control 49Q10, 49J45, 35B65, 35R05, 49K20 In this paper we consider some optimal control problems governed by elliptic partial differential equations. The solution is the state variable, while the control variable is, depending on the case, the coefficient of the PDE, the potential, the right-hand side. The cost functional is of integral type and involves both the state and control variables. |
| title | Optimization problems for elliptic PDEs |
| topic | Optimization and Control 49Q10, 49J45, 35B65, 35R05, 49K20 |
| url | https://arxiv.org/abs/2601.01591 |