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 |
| _version_ | 1878741033945137152 |
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| author | Casas Rentería, Eduardo|||0000-0002-8364-9416 |
| author2 | Mateos Alberdi, Mariano Rösch, Arnd |
| author2_role | author author |
| author_browse | Casas Rentería, Eduardo|||0000-0002-8364-9416 Mateos Alberdi, Mariano Rösch, Arnd |
| author_facet | Casas Rentería, Eduardo|||0000-0002-8364-9416 Mateos Alberdi, Mariano Rösch, Arnd |
| author_role | author |
| collection | UCrea Repositorio Abierto de la Universidad de Cantabria |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_ddd8faeb2b3fcaee18639b517c19a86f |
| institution | Universidad de Cantabria (UC) |
| instname_str | Universidad de Cantabria (UC) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:repositorio.unican.es:10902/36381 |
| publishDate | 2025 |
| publishDateSort | 2025 |
| publisher | Taylor and Francis Ltd. |
| publisherStr | Taylor and Francis Ltd. |
| reponame_str | UCrea Repositorio Abierto de la Universidad de Cantabria |
| spelling | New second order sufficient optimality conditions for state constrained parabolic control problems Casas Rentería, Eduardo|||0000-0002-8364-9416 Mateos Alberdi, Mariano Rösch, Arnd Optimal control Semilinear partial diferential equations Optimality conditions State constraints Borel measures 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. The firrst and second authors were partially supported by MCIN/ AEI/10.13039/501100011033 under research project PID2020-114837GB-I00. Taylor and Francis Ltd. https://hdl.handle.net/10902/36381 |
| spellingShingle | New second order sufficient optimality conditions for state constrained parabolic control problems Casas Rentería, Eduardo|||0000-0002-8364-9416 Optimal control Semilinear partial diferential equations Optimality conditions State constraints Borel measures |
| title | New second order sufficient optimality conditions for state constrained parabolic control problems |
| title_full | New second order sufficient optimality conditions for state constrained parabolic control problems |
| title_fullStr | New second order sufficient optimality conditions for state constrained parabolic control problems |
| title_full_unstemmed | New second order sufficient optimality conditions for state constrained parabolic control problems |
| title_short | New second order sufficient optimality conditions for state constrained parabolic control problems |
| title_sort | New second order sufficient optimality conditions for state constrained parabolic control problems |
| topic | Optimal control Semilinear partial diferential equations Optimality conditions State constraints Borel measures |
| topic_facet | Optimal control Semilinear partial diferential equations Optimality conditions State constraints Borel measures |
| url | https://hdl.handle.net/10902/36381 |