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.

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

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