TY - JOUR
T1 - Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity
JO - Journal of Partial Differential Equations
VL - 3
SP - 221
EP - 240
PY - 2004
DA - 2004/08
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5389.html
KW - Quasilinear hyperbolic system
KW - Cauchy problem
KW - global classical solution
KW - formation of singularity
KW - life span
AB - <p>For quasilinear hyperbolic systems with characteristics of constant mul- tiplicity, suppose that characteristics of constant multiplicity(&gt; 1) are linearly degen- erate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C¹ solution to the Cauchy problem under an additional hypothesis.</p>