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)


Słowa kluczowe

discontinuous parameteroptimal controldouble phase operatorSteklov eigenvalue problemimplicit obstacle problemClarke subdifferentialinverse problem

Dane bibliometryczne

ID BaDAP148567
Data dodania do BaDAP2023-11-07
Tekst źródłowyURL
DOI10.1051/cocv/2023022
Rok publikacji2023
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Creative Commons
Czasopismo/seriaESAIM, 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.

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artykuł
Double phase implicit obstacle problems with convection term and multivalued operator / Shengda Zeng, Yunru Bai, Nikolaos S. Papageorgiou, Vicenţiu D. RĂDULESCU // Analysis and Applications ; ISSN 0219-5305. — 2023 — vol. 21 no. 4, s. 1013–1038. — Bibliogr. s. 1035–1038, Abstr. — V. Rǎdulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania; Simion Stoilow Institute of Mathematics of the Romanian Academy Calea Grivit, Bucharest, Romania; Brno University of Technology Faculty of Electrical Engineering and Communication, Brno, Czech Republic
artykuł
Inverse problems for anisotropic obstacle problems with multivalued convection and unbalanced growth / Shengda Zeng, Yunru Bai, Vicenţiu D. RǍDULESCU // Evolution Equations and Control Theory [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 2163-2480. — 2023 — vol. 12 no. 3, s. 790-822. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. 819-822, Abstr. — Publikacja dostępna online od: 2023. — V. Rădulescu - dod. afiliacja: University of Craiova, Romania