On the Cauchy problem with small analytic data for nonlinear weakly hyperbolic systems
type: Item
instance of: scholarly article
title: On the Cauchy problem with small analytic data for nonlinear weakly hyperbolic systems
zbMATH Open document ID: 0897.35047
author: Tamotu Kinoshita
published in: Tsukuba Journal of Mathematics
publication date: 1998-01-12T00:00:00Z
review text: The author investigates the Cauchy problem for first order nonlinear hyperbolic systems. By using the pseudo-differential operators of infinite order the hyperbolic systems are reduced to parabolic systems and the analytic solutions of the Cauchy problem for hyperbolic systems are obtained locally in time. Moreover, it is shown that the life span of the solutions tends to infinity together with the initial data decreasing to zero.
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 1102898
zbMATH Keywords: analytic solutions
zbMATH Keywords: life span
reviewed by: Kunihiko Kajitani
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496163249
OpenAlex ID: W2119561028
DOI: 10.21099/TKBJM/1496163249
description: scientific article; zbMATH DE number 1102898