TY - JOUR
T1 - Life-span of Classical Solutions of Nonlinear Hyperbolic Systems
AU - Dexing Kong 
JO - Journal of Partial Differential Equations
VL - 3
SP - 221
EP - 236
PY - 1996
DA - 1996/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5623.html
KW - Nonlinear hyperbolic system
KW - Cauchy problem
KW - life-span
AB -  In this paper, we give a lower bound for the life-span of classical solutions to the Cauchy problem for first order nonlinear hyperbolic systems with small initial data, which is sharp, and give its application to the system of one-dimensional gas dynamics; for the Cauchy problem of the system of one-dimensional gas dynamics with a kind of small oscillatory initial data, we obtain a precise estimate for the life-span of classical solutions.