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Turkish Journal of Mathematics

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

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