Second-order conditions for bang-bang control of elliptic equations in arbitrary dimensions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866914331876130816 |
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| author | Wachsmuth, Gerd |
| author_facet | Wachsmuth, Gerd |
| contents | We consider an optimal control problem governed by a semilinear PDE in cases where the optimal control is of bang-bang type. By utilizing the theory of Bessel potential space, we characterize quadratic growth of the objective via a second-order optimality condition. In contrast to previous contributions, our method of proof works in arbitrary spatial dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14632 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Second-order conditions for bang-bang control of elliptic equations in arbitrary dimensions Wachsmuth, Gerd Optimization and Control We consider an optimal control problem governed by a semilinear PDE in cases where the optimal control is of bang-bang type. By utilizing the theory of Bessel potential space, we characterize quadratic growth of the objective via a second-order optimality condition. In contrast to previous contributions, our method of proof works in arbitrary spatial dimensions. |
| title | Second-order conditions for bang-bang control of elliptic equations in arbitrary dimensions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2602.14632 |