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

Authors

MEIIRKHAN BORIKHANOV

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.

DOI

10.55730/1300-0098.3291

Keywords

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

First Page

2625

Last Page

2644

Recommended Citation

BORIKHANOV, M (2022). Globally unsolvability of integro-differential diffusion equation and system with exponential nonlinearities. Turkish Journal of Mathematics 46 (7): 2625-2644. https://doi.org/10.55730/1300-0098.3291