Publikationsdatum:
2012-09-01
Beschreibung:
In this paper, we investigate the grow-up rate of solutions for the heat equation with sublinear source. Exactly, we find that if the initial value grows fast enough, then the initial value play a major role in the growing upof solutions, while if the initial value grows slowly, then the sublinear source prevails. As a direct application of these results, we show that the effect of sublinear source is negligible in the asymptotic behavior of solutions as $t\rightarrow\infty$ if the initial value grows fast enough.
Print ISSN:
1687-2762
Digitale ISSN:
1687-2770
Thema:
Mathematik
