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Qualitative properties of solutions to a nonlocal evolution system
Journal article   Peer reviewed

Qualitative properties of solutions to a nonlocal evolution system

Ahmad Z. Fino and Mokhtar Kirane
Mathematical methods in the applied sciences, Vol.34(9), pp.1125-1143
06/2011
DOI: https://doi.org/10.1002/mma.1428

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we investigate the local existence and the finite-time blow-up of solutions for a semi-linear parabolic system with a nonlinear memory. Moreover, we give the blow-up rate of solutions and the necessary conditions for local or global existence. Copyright (C) 2011 John Wiley & Sons, Ltd.

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