On stabilization of solutions of higher order evolution inequalities

We obtain sharp conditions guaranteeing that every non-negative weak solution of the inequality (Formula Present), stabilizes to zero as t → ∞. These conditions generalize the well-known Keller-Osserman condition on the growth of the function g at infinity. © 2019 - IOS Press and the authors. All rights reserved.

Авторы
Kon'Kov A.1 , Shishkov A. 2, 3
Журнал
Asymptotic Analysis
Издательство
IOS Press
Номер выпуска
1-2
Язык
Английский
Страницы
1-17
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.3233/ASY-191522
Том
115
Год
2019
Организации
  • 1 Department of Differential Equations, Faculty of Mechanics and Mathematics, Moscow Lomonosov State University, Russian Federation
  • 2 Center of Nonlinear Problems of Mathematical Physics, RUDN University, Russian Federation
  • 3 Institute of Applied Mathematics and Mechanics of NAS of Ukraine, Ukraine
Ключевые слова
Higher order evolution inequalities; nonlinearity; stabilization
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