Globally unsolvability of integro-differential diffusion equation and system with exponential nonlinearities

Authors

MEIIRKHAN BORIKHANOV

DOI

10.55730/1300-0098.3291

Abstract

In this paper, the Cauchy problem for an integro-differential diffusion equation and a system with nonlocal nonlinear sources are considered. The results on the existence of local integral solutions and the nonexistence of global weak solutions to the nonlinear integro-differential diffusion equation and system are presented.

Keywords

Local existence, blow-up, global weak solution, integro-differential diffusion system

First Page

2625

Last Page

2644

Recommended Citation

BORIKHANOV, MEIIRKHAN (2022) "Globally unsolvability of integro-differential diffusion equation and system with exponential nonlinearities," Turkish Journal of Mathematics: Vol. 46: No. 7, Article 5. https://doi.org/10.55730/1300-0098.3291
Available at: https://journals.tubitak.gov.tr/math/vol46/iss7/5