Open Access
2018 On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities
B. Ahmad, A. Alsaedi, D. Hnaien, M. Kirane
J. Integral Equations Applications 30(1): 17-40 (2018). DOI: 10.1216/JIE-2018-30-1-17

Abstract

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.

Citation

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B. Ahmad. A. Alsaedi. D. Hnaien. M. Kirane. "On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities." J. Integral Equations Applications 30 (1) 17 - 40, 2018. https://doi.org/10.1216/JIE-2018-30-1-17

Information

Published: 2018
First available in Project Euclid: 10 April 2018

zbMATH: 06873396
MathSciNet: MR3784880
Digital Object Identifier: 10.1216/JIE-2018-30-1-17

Subjects:
Primary: 35B44 , 35R09 , 45M05 , 47H99

Keywords: Blow-up , blow-up profile , exponential nonlinearities , nonlocal in time and space reaction diffusion equations , Semi-linear system

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

Vol.30 • No. 1 • 2018
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