Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities

Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities Научная публикация

Журнал

Electronic Journal of Differential Equations
ISSN: 1072-6691

Вых. Данные

Год: 2021, Том: 2021, Номер: 06, Страницы: 1-18 Страниц : 18

Ключевые слова

BLOW UP, GLOBAL SOLUTION, PETROVSKY EQUATION, VARIABLE-EXPONENT NONLINEARITIES

Авторы

Антонцев Станислав Николаевич ^1,2 , Ferreira Jorge ³ , Piskin Erhan ⁴

Организации

1	Lavrentyev Institute of Hydrodynamics of SB RAS, Novosibirsk, Russia
2	University of Lisbon
3	Federal Fluminense University
4	Dicle University. Department of Mathematics

In this article, we consider a nonlinear plate (or beam) Petrovsky equation with strong damping and source terms with variable exponents. By using the Banach contraction mapping principle we obtain local weak solutions, under suitable assumptions on the variable exponents p(·) and q(·). Then we show that the solution is global if p(·) ≥ q(·). Also, we prove that a solution with negative initial energy and p(·) < q(·) blows up in finite time.

Antontsev S.N. , Ferreira J. , Piskin E.
Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities
Electronic Journal of Differential Equations. 2021. V.2021. N06. P.1-18. РИНЦ OpenAlex

Опубликована в печати:

29 янв. 2021 г.

РИНЦ:	46742313
OpenAlex:	W3193449460

БД	Цитирований
РИНЦ	18
OpenAlex	18