The analysis of blow-up solutions to a semilinear parabolic system with weighted localized terms
Annales Polonici Mathematici, Tome 102 (2011) no. 2, pp. 187-203
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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 $u^p(x_0,t)$, $v^n(x_0,t)$, local sources $u^m(x,t)$, $v^q(x,t)$, 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 $m, q \leq 1$ or $m, q>1$, but also for $m>1 \mathbin {\}q1$ or $m1\mathbin {\}q>1$.
Keywords:
paper deals blow up properties solutions semilinear parabolic system weighted localized terms subject homogeneous dirichlet boundary conditions investigate influence three factors localized sources local sources t t weight functions asymptotic behavior solutions obtain uniform blow up profiles only cases leq mathbin amp mathbin amp
Affiliations des auteurs :
Haihua Lu 1 ; Feng Wang 2 ; Qiaoyun Jiang 3
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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},
pages = {187--203},
publisher = {mathdoc},
volume = {102},
number = {2},
year = {2011},
doi = {10.4064/ap102-2-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap102-2-6/}
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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 102 (2011) no. 2, pp. 187-203. doi: 10.4064/ap102-2-6
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