TY - JOUR
T1 - Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity
JO - Journal of Partial Differential Equations
VL - 3
SP - 240
EP - 254
PY - 2003
DA - 2003/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5422.html
KW - quasilinear hyperbolic system
KW - Cauchy problem
KW - formation of singularity
KW - life-span
AB -  In this paper we consider the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Without restriction on characteristics with constant multiplicity(> 1), under the assumptions that there is a genuinely nonlinear simple characteristic and the initial data possess certain decaying properties, the blow-up result is obtained for the C¹ solution to the Cauchy problem.