Blow-up of solutions of semilinear hyperbolic equations in one space dimension
type: Item
instance of: scholarly article
zbMATH Open document ID: 0987.35109
author: Paul Godin
publication date: 2001-11-12T00:00:00Z
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1672555
zbMATH Keywords: maximal influence domain
MaRDI profile type: Publication
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title: Blow-up of solutions of semilinear hyperbolic equations in one space dimension
published in: Annali dell'Università di Ferrara. Nuova Serie. Sezione VII
review text: The paper deals with the Cauchy problem NEWLINE\[NEWLINE\partial^2_t u-\partial^2_x u=G(u,u_x,u_t),\;x\in\mathbb{R},\;t>0,NEWLINE\]NEWLINE NEWLINE\[NEWLINE\partial^j_t u=\psi_j,\;x\in \mathbb{R},\;t=0,\;j=0,1,NEWLINE\]NEWLINE where \(G\in C^1(\mathbb{R}^3)\), \(\psi_j\in C^{2-j} (\mathbb{R})\), \(j=0,1\). The author discusses results on the maximal influence domain of solutions of the above Cauchy problem and related mixed problems.
reviewed by: Emil Minchev
description: scientific article; zbMATH DE number 1672555