New second order sufficient optimality conditions for state constrained parabolic control problems
We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the sense of L2(Q). Our results are valid for spatial...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universidad de Cantabria (UC) |
| Repository: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Language: | English |
| OAI Identifier: | oai:repositorio.unican.es:10902/36381 |
| Online Access: | https://hdl.handle.net/10902/36381 |
| Access Level: | Open access |
| Keyword: | Optimal control Semilinear partial diferential equations Optimality conditions State constraints Borel measures |
| Summary: | We study a control problem governed by a semilinear parabolic equation with pointwise control and state constraints imposed at every point of the space-time cylinder. We obtain second order sufficient optimality conditions for local optimality in the sense of L2(Q). Our results are valid for spatial domains of dimension less than or equal to three. |
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