This paper deals with blow-up properties of solutions to a semilinear parabolic system with weighted localized terms, subject to the homogeneous Dirichlet boundary conditions. We investigate the influence of the three factors: localized sources , vⁿ(x₀,t), local sources , , and weight functions a(x),b(x), on the asymptotic behavior of solutions. We obtain the uniform blow-up profiles not only for the cases m,q ≤ 1 or m,q > 1, but also for m > 1 q < 1 or m < 1 q > 1.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-2-6,
author = {Haihua Lu and Feng Wang and Qiaoyun Jiang},
title = {The analysis of blow-up solutions to a semilinear parabolic system with weighted localized terms},
journal = {Annales Polonici Mathematici},
volume = {101},
year = {2011},
pages = {187-203},
zbl = {1227.35092},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-2-6}
}
Haihua Lu; Feng Wang; Qiaoyun Jiang. The analysis of blow-up solutions to a semilinear parabolic system with weighted localized terms. Annales Polonici Mathematici, Tome 101 (2011) pp. 187-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-2-6/