Geodesic
The analysis of blow-up solutions to a semilinear parabolic system with weighted localized terms
Haihua Lu1 ; Feng Wang2 ; Qiaoyun Jiang3
1 Department of Mathematics Southeast University Nanjing 211189, P.R. China and Department of Mathematics Nantong University Nantong 226019, P.R. China
2 School of Mathematics and Physics Changzhou University Changzhou 213164, P.R. China
3 Department of Mathematics Nantong University Nantong 226019, P.R. China
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 $m1\mathbin {\}q>1$.
DOI : 10.4064/ap102-2-6
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

Haihua Lu 1 ; Feng Wang 2 ; Qiaoyun Jiang 3

1 Department of Mathematics Southeast University Nanjing 211189, P.R. China and Department of Mathematics Nantong University Nantong 226019, P.R. China
2 School of Mathematics and Physics Changzhou University Changzhou 213164, P.R. China
3 Department of Mathematics Nantong University Nantong 226019, P.R. China 
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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. http://geodesic.mathdoc.fr/articles/10.4064/ap102-2-6/

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