Gazzola, Filippo Finite-time blow-up and global solutions for some nonlinear parabolic equations. (English) Zbl 1150.35336 Differ. Integral Equ. 17, No. 9-10, 983-1012 (2004). Summary: The global existence and finite-time blow-up depending on the initial datum are established for a class of semilinear parabolic equations. The proofs involve tools from the potential-well theory, from the critical-point theory, and from classical comparison principles. Cited in 7 Documents MSC: 35B40 Asymptotic behavior of solutions to PDEs 35K55 Nonlinear parabolic equations Keywords:nonlinear parabolic equation; global existence; finite time blow-up PDF BibTeX XML Cite \textit{F. Gazzola}, Differ. Integral Equ. 17, No. 9--10, 983--1012 (2004; Zbl 1150.35336) OpenURL