Global existence of solutions of a semilinear heat equation with nonlinear memory condition

We consider a semilinear parabolic equation with flux at the boundary governed by a nonlinear memory. We give some conditions for this problem which guarantee global existence of solutions as well as blow-up in finite time of all nontrivial solutions. The results depend on the behavior of variable coefficients as t → ∞. © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.

Авторы
Gladkov A. 1, 2 , Guedda M.3
Журнал
Язык
Английский
Статус
Опубликовано
Год
2019
Организации
  • 1 Faculty of Mathematics and Mechanics, Department of Mathematical Cybernetics, Belarusian State University, Minsk, Belarus
  • 2 Center of Nonlinear Problems of Mathematical Physics, Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 3 LAMFA, CNRS, UMR 6140, Université de Picardie, Amiens, France
Ключевые слова
Alexander Pankov; finite time blow-up; memory boundary condition; Semilinear parabolic equation
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/39071/