Boumenir, Amin On the blow-up rate by regular variation functions. (English) Zbl 1212.35247 Differ. Integral Equ. 19, No. 5, 537-544 (2006). Summary: We develop a direct method for obtaining the blow-up rate of positive solutions of semilinear parabolic equations by using the theory of regularly varying functions. The method is applicable to the case when the blow-up set is a single point. MSC: 35K58 Semilinear parabolic equations 35B44 Blow-up in context of PDEs 35B09 Positive solutions to PDEs Keywords:blow-up rate; positive solution; semilinear parabolic equation; regularly varying functions PDFBibTeX XMLCite \textit{A. Boumenir}, Differ. Integral Equ. 19, No. 5, 537--544 (2006; Zbl 1212.35247)