Critical exponent for the semilinear wave equation with time-dependent damping
type: Item
instance of: scholarly article
title: Critical exponent for the semilinear wave equation with time-dependent damping
zbMATH Open document ID: 1255.35058
author: Jiayun Lin
author: Kenji Nishihara
author: Jian Zhai
published in: Discrete and Continuous Dynamical Systems
publication date: 2012-11-12T00:00:00Z
review text: The authors discuss the initial value problem to the equation \(u_{tt}-\Delta u+b_0(1+t)^{-\beta }u_t=| u| ^{\rho }\) for \(t>0\) and \(x\in \mathbb{R}^N\) (see also [\textit{J. Lin} and \textit{J. Zhai}, Commun. Contemp. Math. 14, No. 5, 1250035, 14 p. (2012; Zbl 1255.35172)]). Under some assumptions on the initial data the non-existence of a global solution is proved for \(1<\rho \leq 1+2/N.\)
reviewed by: Marie Kopáčková
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 6104854
zbMATH Keywords: time-dependent damping
MaRDI profile type: Publication
full work available at URL: dcds.2012.32.4307
OpenAlex ID: W2319319158
DOI: 10.3934/DCDS.2012.32.4307
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description: scientific article; zbMATH DE number 6104854