TY - JOUR T1 - Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity AU - Libin Wang 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 -

For quasilinear hyperbolic systems with characteristics of constant mul- tiplicity, suppose that characteristics of constant multiplicity(> 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.