We discuss the effect of time delay on blow-up of solutions to initial-boundary value problems for nonlinear reaction-diffusion equations. Firstly, two examples are given, which indicate that the delay can both induce and prevent the blow-up of solutions. Then we show that adding a new term with delay may not change the blow-up character of solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-3,
author = {Hongliang Wang and Yujuan Chen and Haihua Lu},
title = {Blow-up results for some reaction-diffusion equations with time delay},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {21-29},
zbl = {1255.35060},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-3}
}
Hongliang Wang; Yujuan Chen; Haihua Lu. Blow-up results for some reaction-diffusion equations with time delay. Annales Polonici Mathematici, Tome 105 (2012) pp. 21-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-3/