Local existence and global nonexistence results for an integro-differential diffusion system with nonlocal nonlinearities

In the present paper, initial problem for the integro-differential diffusion system with nonlocal nonlinear sources is considered. The results on existence of local mild solutions and nonexistence of global weak solution to the nonlinear integro-differential diffusion system are presented. © 2020 John Wiley & Sons, Ltd.

Авторы
Borikhanov M.B.1, 2 , Torebek B.T. 1, 3, 4
Журнал
Mathematical Methods in the Applied Sciences
Издательство
John Wiley and Sons Ltd
Язык
Английский
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1002/MMA.6878
Год
2020
Организации
  • 1 Al-Farabi Kazakh National University, Al-Farabi ave. 71, Almaty, 050040, Kazakhstan
  • 2 Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
  • 3 Department of Mathematics: Analysis, Logic and Discrete Mathematics Krijgslaan 281, Building S8, Ghent, B 9000, Belgium
  • 4 RUDN University, Moscow, 117198, Russian Federation
Ключевые слова
blow-up; Fujita-type critical exponents; global weak solution; integro-differential diffusion system; local existence
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