High initial energy finite time blowup with upper bound of blowup time of solution to semilinear parabolic equations. (July 2020)

• Record Type: Journal Article
• Authors: Ma, He; Meng, Fanmo; Wang, Xingchang
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: 35K05 -- 35B44; Semilinear parabolic equation -- Finite time blowup -- Upper bound of blowup time -- Arbitrarily high initial energy; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111810
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: A sufficient condition on initial profile ensuring high initial energy finite time blowup along with the upper bound of the corresponding blowup time for the classical semilinear parabolic equations involving initial boundary value problem is established in this paper.