Blow-up results for some reaction-diffusion equations with time delay

Hongliang Wang, Yujuan Chen, and Haihua Lu. "Blow-up results for some reaction-diffusion equations with time delay." Annales Polonici Mathematici 105.1 (2012): 21-29. <http://eudml.org/doc/280751>.

@article{HongliangWang2012,
abstract = {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.},
author = {Hongliang Wang, Yujuan Chen, Haihua Lu},
journal = {Annales Polonici Mathematici},
keywords = {reaction-diffusion equations; time delay; blow-up; global existence; effect of time delay on blow-up},
language = {eng},
number = {1},
pages = {21-29},
title = {Blow-up results for some reaction-diffusion equations with time delay},
url = {http://eudml.org/doc/280751},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Hongliang Wang
AU - Yujuan Chen
AU - Haihua Lu
TI - Blow-up results for some reaction-diffusion equations with time delay
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 1
SP - 21
EP - 29
AB - 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.
LA - eng
KW - reaction-diffusion equations; time delay; blow-up; global existence; effect of time delay on blow-up
UR - http://eudml.org/doc/280751
ER -