Publication detail

An inverse problem for a double phase implicit obstacle problem with multivalued terms

RADULESCU, V. ZENG, S. BAI, Y. WINKERT, P.

Original Title

An inverse problem for a double phase implicit obstacle problem with multivalued terms

Type

journal article in Web of Science

Language

English

Original 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.

Keywords

Clarke subdifferential;discontinuous parameter;double phase operator;implicit obstacle problem;inverse problem;optimal control;Steklov eigenvalue

Authors

RADULESCU, V.; ZENG, S.; BAI, Y.; WINKERT, P.

Released

27. 4. 2023

ISBN

1262-3377

Periodical

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Year of study

29

Number

30

State

French Republic

Pages from

1

Pages to

30

Pages count

30

URL

https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000977790200001

Full text in the Digital Library

http://hdl.handle.net/11012/244331

BibTex

@article{BUT183936,
  author="Shengda {Zeng} and Yunru {Bai} and Vicentiu {Radulescu} and Patrick {Winkert}",
  title="An inverse problem for a double phase implicit obstacle problem with multivalued terms",
  journal="ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS",
  year="2023",
  volume="29",
  number="30",
  pages="1--30",
  doi="10.1051/cocv/2023022",
  issn="1262-3377",
  url="https://www-webofscience-com.ezproxy.lib.vutbr.cz/wos/woscc/full-record/WOS:000977790200001"
}