Cauchy problem for general first order Inhomogeneous quasilinear hyperbolic systems

Journal:Journal of Partial Differential Equations

Key Words:Quasilinear hyperbolic system; matching condition; life-span; weak linear degen

Abstract:In this paper, we consider Cauchy problem for general first order inhomogeneous quasilinear strictly hyperbolic systems. Under the matching condition, we first give an estimate on inhomogeneous terms. By this estimate, we obtain the asymptotic behaviour for the life-span of C^1 solutions with "slowly" decaying and small initial data and prove that the formation of singularity is due to the envelope of characteristics of the same family.

First Author:Li, Shumin

Indexed by:Journal paper

Discipline:Natural Science

Document Type:J

Volume:15

Issue:1

Page Number:45-68

ISSN No.:1000-940X

Translation or Not:no

Date of Publication:2002-02-01

Links to published journals:https://www.global-sci.org/intro/article_detail/jpde/5440.html