Journal of Integral Equations and Applications

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

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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.

Article information

Source
J. Integral Equations Applications, Volume 30, Number 1 (2018), 17-40.

Dates
First available in Project Euclid: 10 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1523347336

Digital Object Identifier
doi:10.1216/JIE-2018-30-1-17

Mathematical Reviews number (MathSciNet)
MR3784880

Zentralblatt MATH identifier
06873396

Subjects
Primary: 35B44: Blow-up 35R09: Integro-partial differential equations [See also 45Kxx] 45M05: Asymptotics 47H99: None of the above, but in this section

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

Citation

Ahmad, B.; Alsaedi, A.; Hnaien, D.; Kirane, M. On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities. J. Integral Equations Applications 30 (2018), no. 1, 17--40. doi:10.1216/JIE-2018-30-1-17. https://projecteuclid.org/euclid.jiea/1523347336


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References

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