Cauchy Problem for Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity

Abstract

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.