TY - JOUR
T1 - Global Existence of Classical Solution with Small Initial Total Variation for Quasilinear Linearly Degenerate Hyperbolic Systems
AU - Ping Yan 
JO - Journal of Partial Differential Equations
VL - 4
SP - 321
EP - 334
PY - 2003
DA - 2003/11
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5429.html
KW - Linear degeneracy
KW - small initial total variation
KW - slowly decaying initial data
KW - global classical solution
KW - quasilinear hyperbolic system
AB -  In this paper, the author proves the global existence of classical solution to the Cauchy problem with slowly decaying initial data with small initial total variation for general first order quasilinear linearly degenerate hyperbolic systems. This generalizes the corresponding result of A.Bressan for initial data with compact support.