Szczegóły publikacji
Opis bibliograficzny
An inverse problem for a double phase implicit obstacle problem with multivalued terms / Shengda Zeng, Yunru Bai, Vicenţiu D. RĂDULESCU, Patrick Winkert // ESAIM. Control, Optimisation and Calculus of Variations ; ISSN 1292-8119. — 2023 — vol. 29 art. no. 30, s. 1–23. — Bibliogr. s. 21–23, Abstr. — Publikacja dostępna online od: 2023-04-27. — V. D. Rǎdulescu - dod. afiliacje: University of Craiova, Craiova, Romania; Brno University of Technology, Brno, Czech Republic; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Autorzy (4)
- Zeng Shengda
- Bai Yunru
- AGHRǎdulescu Vicenţiu
- Winkert Patrick
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 148567 |
|---|---|
| Data dodania do BaDAP | 2023-11-07 |
| Tekst źródłowy | URL |
| DOI | 10.1051/cocv/2023022 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | ESAIM, Control Optimisation and Calculus of Variations |
Abstract
In this paper, we study an inverse problem of estimating three discontinuous parameters in a double phase implicit obstacle problem with multivalued terms and mixed boundary conditions which is formulated by a regularized optimal control problem. Under very general assumptions, we introduce a multivalued function called a parameter-to-solution map which admits weakly compact values. Then, by employing the Aubin-Cellina convergence theorem and the theory of nonsmooth analysis, we prove that the parameter-to-solution map is bounded and continuous in the sense of Kuratowski. Finally, a generalized regularization framework for the inverse problem is developed and a new existence theorem is provided.