New second order sufficient optimality conditions for state constrained parabolic control problems
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913249660764160 |
|---|---|
| author | Casas, Eduardo Mateos, Mariano Rösch, Arnd |
| author_facet | Casas, Eduardo Mateos, Mariano Rösch, Arnd |
| contents | 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 $L^2(Q)$. Our results are valid for spatial domains of dimension less than or equal to three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17621 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New second order sufficient optimality conditions for state constrained parabolic control problems Casas, Eduardo Mateos, Mariano Rösch, Arnd Optimization and Control 35K58, 35R06, 49K20 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 $L^2(Q)$. Our results are valid for spatial domains of dimension less than or equal to three. |
| title | New second order sufficient optimality conditions for state constrained parabolic control problems |
| topic | Optimization and Control 35K58, 35R06, 49K20 |
| url | https://arxiv.org/abs/2401.17621 |