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ON A SEMI-LINEAR SYSTEM OF NONLOCAL TIME AND SPACE REACTION DIFFUSION EQUATIONS WITH EXPONENTIAL NONLINEARITIES
Journal article   Peer reviewed

ON A SEMI-LINEAR SYSTEM OF NONLOCAL TIME AND SPACE REACTION DIFFUSION EQUATIONS WITH EXPONENTIAL NONLINEARITIES

B. Ahmad, A. Alsaedi, D. Hnaien and M. Kirane
The Journal of integral equations and applications, Vol.30(1), pp.17-40
01/02/2018
DOI: https://doi.org/10.1216/JIE-2018-30-1-17

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this article, we investigate the local existence of a unique mild solution to a reaction diffusion system with time-nonlocal nonlinearities of exponential growth. Moreover, blowing-up solutions are shown to exist, and their time blow-up profile is presented.

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