Global existence and blow-up for space and time nonlocal reaction-diffusion equation
Analysis of PDEs
2020-04-09 v2
Abstract
A time-space fractional reaction-diffusion equation in a bounded domain is considered. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time. However, for realistic initial conditions, solutions are global in time. Moreover, the asymptotic behavior of bounded solutions is analysed.
Keywords
Cite
@article{arxiv.1901.06632,
title = {Global existence and blow-up for space and time nonlocal reaction-diffusion equation},
author = {Ahmed Alsaedi and Mokhtar Kirane and Berikbol T. Torebek},
journal= {arXiv preprint arXiv:1901.06632},
year = {2020}
}
Comments
6 pages, Quaestiones Mathematicae (2020)