An inverse problem for the pseudo-parabolic equation with p-Laplacian | Sciact

An inverse problem for the pseudo-parabolic equation with p-Laplacian Научная публикация

Журнал

Evolution Equations and Control Theory
ISSN: 2163-2472

Вых. Данные

Год: 2022, Том: 11, Номер: 2, Страницы: 399-414 Страниц : 16 DOI: 10.3934/eect.2021005

Ключевые слова

Asymptotic behavior of the solution; Blow-up solution; Inverse problem; Non-local overdetermination condition; Pseudo-parabolic equations; Solvability

Авторы

Antontsev Stanislav Nikolaevich ¹ , Aitzhanov Serik Ersultanovich ^2,3 , Ashurova Guzel Rashitkhuzhakyzy ³

Организации

1	Lavrentyev Institute of Hydrodynamics of SB RAS, Novosibirsk, Russia
2	Al-Farabi Kazakh National University
3	Institute of Mathematics and Mathematical Modeling

In this article, we study the inverse problem of determining the right side of the pseudo-parabolic equation with a p-Laplacian and nonlocal integral overdetermination condition. The existence of solutions in a local and global time to the inverse problem is proved by using the Galerkin method. Sufficient conditions for blow-up (explosion) of the local solutions in a finite time are derived. The asymptotic behavior of solutions to the inverse problem is studied for large values of time. Sufficient conditions are obtained for the solution to disappear (vanish to identical zero) in a finite time. The limits conditions that which ensure the appropriate behavior of solutions are considered.

Antontsev S.N. , Aitzhanov S.E. , Ashurova G.R.
An inverse problem for the pseudo-parabolic equation with p-Laplacian
Evolution Equations and Control Theory. 2022. V.11. N2. P.399-414. DOI: 10.3934/eect.2021005 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-85121518757
РИНЦ:	48141956
OpenAlex:	W3118812685

БД	Цитирований
Scopus	19
OpenAlex	16
РИНЦ	8