Qualitative Properties of Solutions of Equations and Inequalities with KPZ-Type Nonlinearities

For quasilinear partial differential and integrodifferential equations and inequalities containing nonlinearities of the Kardar—Parisi—Zhang type, various (old and recent) results on qualitative properties of solutions (such as the stabilization of solutions, blow-up phenomena, long-time decay of solutions, and others) are presented. Descriptive examples demonstrating the Bitsadze approach (the technique of monotone maps) applied in this research area are provided.

Авторы
Журнал
Издательство
MDPI AG
Номер выпуска
4
Язык
Английский
Страницы
990
Статус
Опубликовано
Том
11
Год
2023
Организации
  • 1 Peoples Friendship University of Russia
Ключевые слова
quasilinear equations and inequalities; KPZ-nonlinearities; qualitative properties of solutions; methods of monotonous maps; blow-up; stabilization
Дата создания
07.03.2023
Дата изменения
07.03.2023
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/93304/
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