Blow-up results for some reaction-diffusion equations
with time delay
Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 21-29
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
discuss effect time delay blow up solutions initial boundary value problems nonlinear reaction diffusion equations firstly examples given which indicate delay induce prevent blow up solutions adding term delay may change blow up character solutions
Affiliations des auteurs :
Hongliang Wang 1 ; Yujuan Chen 1 ; Haihua Lu 1
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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},
pages = {21--29},
publisher = {mathdoc},
volume = {105},
number = {1},
year = {2012},
doi = {10.4064/ap105-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap105-1-3/}
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Hongliang Wang; Yujuan Chen; Haihua Lu. Blow-up results for some reaction-diffusion equations with time delay. Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 21-29. doi: 10.4064/ap105-1-3
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