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.
This research is supported by the NSF of Guangxi grant no. 2021GXNSFFA220001, Guangxi Science and Technology Program grant no. AD23023001, the NSF of China grant no. 11901122, the Research Project of GXMZU grant Nos. 2021MDKJ001 and gxun-chxb 2022081, the Xiangsihu Young Scholars and Innovative Research Team of GXMZU grant no. 2022GXUNXSHQN02, the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement no. 823731 CONMECH, the Ministry of Science and Higher Education of Republic of Poland under Grants Nos. 4004/GGPJII/H2020/2018/0 and 440328/PnH2/2019, and the National Science Centre of Poland under Project no. 2021/41/B/ST1/01636.
Поступило в редакцию: 14.10.2023 Исправленный вариант: 17.01.2024