Decay of Nonnegative Solutions of Singular Parabolic Equations with KPZ-Nonlinearities

Abstract: The Cauchy problem for quasilinear parabolic equations with KPZ-nonlinearities is considered. It is proved that the behavior of the solution as t → α can change substantially as compared with the homogeneous case if the equation involves zero-order terms. More specifically, the solution decays at infinity irrespective of the behavior of the initial function and the rate and character of this decay depend on the conditions imposed on the lower order coefficients of the equation. © 2020, Pleiades Publishing, Ltd.

Авторы
Номер выпуска
8
Язык
Английский
Страницы
1375-1380
Статус
Опубликовано
Том
60
Год
2020
Организации
  • 1 JSC Concern “Sozvezdie”, Voronezh, 394018, Russian Federation
  • 2 RUDN University, Moscow, 117198, Russian Federation
Ключевые слова
behavior at infinity; KPZ-nonlinearities; lower-order terms; parabolic equations; quasilinear equations
Дата создания
02.11.2020
Дата изменения
02.11.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/64487/
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