On extension of solutions of Kirchhoff equations
type: Item
instance of: scholarly article
title: On extension of solutions of Kirchhoff equations
zbMATH Open document ID: 1056.35121
author: Atsushi Satoh
author: Kunihiko Kajitani
published in: Journal of the Mathematical Society of Japan
publication date: 2004-10-27T00:00:00Z
review text: The authors consider the Cauchy problem to the Kirchhoff equation \(u_{tt}=M(| \nabla _xu| ^2_{L^2})\triangle u.\) They prove that a solution of the problem may be extended in the Sobolev spaces even in the case of singular coefficient \(M(| \nabla _xu| ^2_{L^2})\) of order one.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B60
zbMATH DE Number: 2110889
zbMATH Keywords: singular coefficient
zbMATH Keywords: life span
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/1191418637
OpenAlex ID: W2078025190
DOI: 10.2969/JMSJ/1191418637
description: scientific article; zbMATH DE number 2110889