A Cauchy problem of parabolic equations with time-dependent coefficients. Issue 6 (26th April 2021)

• Record Type: Journal Article
• Authors: Liu, Bingchen; Lin, Hongyan; Li, Fengjie
• Is Part Of: Applicable analysis. Volume 100:Issue 6(2021)
• Page Start: 1272
• Page End: 1285
• Publication Date: 2021-04-26
• Subjects: Critical Fujita exponent -- blow-up rate -- non-simultaneous blow-up -- variable coefficient; 35K15 -- 35K55 -- 35B40; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1639045
• Languages: English
• ISSNs: 0003-6811

Abstract

ABSTRACT: In this paper, we study a Cauchy problem of parabolic equations with time-dependent coefficients. The critical Fujita exponents are determined by the exponents of components and dimension of domain and the coefficients. Moreover, we give the optimal classification of blow-up solutions which discriminates simultaneous and non-simultaneous blow-up of two components. At last, simultaneous blow-up rates are obtained.