Blow-up and lifespan estimates of solutions to semilinear Moore–Gibson–Thompson equations. (December 2021)

• Record Type: Journal Article
• Authors: Ming, Sen; Yang, Han; Fan, Xiongmei; Yao, Jiangyan
• Is Part Of: Nonlinear analysis. Volume 62(2021)
• Publication Date: 2021-12
• Subjects: Semilinear Moore–Gibson–Thompson equations -- Test function approach -- Blow-up -- Lifespan estimates; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2021.103360
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, the blow-up of solutions to the Cauchy problems for semilinear Moore–Gibson–Thompson equations with power nonlinearity | u | p, derivative nonlinearity | u t | p, combined nonlinearity | u t | p + | u | q are investigated. Upper bound lifespan estimates of solutions to the problems in the sub-critical and critical cases are also deduced by applying the test function approach. It is worth noticing that blow-up results are valid in the conservative case. The main novelty is that the critical exponents in our cases are associated with the well-known Strauss exponent and Glassey exponent.