TY - JOUR
T1 - Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity
AU - Yumei Xu 
JO - Journal of Partial Differential Equations
VL - 4
SP - 355
EP - 370
PY - 2005
DA - 2005/11
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5370.html
KW - Quasilinear hyperbolic systems
KW - Cauchy problem
KW - formation of singularity
KW - life-span
AB - <p>In this paper we consider the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity. Without restriction on characteristics with constant multiplicity (&gt; 1), a blow-up result is obtained for the C¹ solution to the Cauchy problem under the assumptions where there is a simple genuinely nonlinear characteristic and the initial data possess certain weaker decaying properties.</p>