Blow-up phenomena for a quasilinear parabolic equation with inner source and nonlinear boundary condition. Issue 4 (3rd July 2016)

• Record Type: Journal Article
• Authors: Yang, Rui; Bo Fang, Zhong; Yi, Su-Cheol
• Is Part Of: Journal of interdisciplinary mathematics. Volume 19:Issue 4(2016)
• Page Start: 601
• Page End: 616
• Publication Date: 2016-07-03
• Subjects: Quasilinear parabolic -- Blow-up time -- Lower bound -- Upper bound; 35K65 35B30 35B40; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2016.1145434
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: In this paper, we deal with blow-up phenomena to a quasilinear parabolic equation with inner source and nonlinear boundary condition. By the technique of differential inequality, we establish a lower bound for the blow-up time if blow-up does occur. Furthermore, we consider a specific class of problems to guarantee occurrence of blow-up and derive an upper bound for the blow-up time.