Inverse problems for evolutionary quasi-variational hemivariational inequalities with application to mixed boundary value problems
- Авторлар: Peng Z.1, Yang G.1, Liu Z.2, Migórski S.3,4
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Мекемелер:
- Guangxi Minzu University
- Yulin Normal University
- Beibu Gulf University
- Jagiellonian University
- Шығарылым: Том 88, № 5 (2024)
- Беттер: 187-210
- Бөлім: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/265541
- DOI: https://doi.org/10.4213/im9551
- ID: 265541
Дәйексөз келтіру
Аннотация
The aim of this paper is to examine an inverse problem of parameter identification in an evolutionary quasi-variational hemivariational inequality in infinite dimensional reflexive Banach spaces. First, the solvability and compactness of the solution set to the inequality are established by employing a fixed point argument and tools of non-linear analysis. Then, general existence and compactness results for the inverse problem have been proved. Finally, we illustrate the applicability of the results in the study of an identification problem for an initial-boundary value problem of parabolic type with mixed multivalued and non-monotone boundary conditions and a state constraint.
Авторлар туралы
Zijia Peng
Guangxi Minzu University
Email: pengzijia@126.com
Guangkun Yang
Guangxi Minzu University
Email: GkunYang0703@163.com
Zhenhai Liu
Yulin Normal University
Хат алмасуға жауапты Автор.
Email: zhhliu@hotmail.com
Doctor of Science, Professor
Stanisław Migórski
Beibu Gulf University; Jagiellonian University
Email: stanislaw.migorski@uj.edu.pl
Doctor of Science, Professor
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