CAUCHY PROBLEM FOR QUASILINEAR HYPERBOLIC SYSTEMS WITH CHARACTERISTICS WITH CONSTANT MULTIPLICITY

For quasilinear hyperbolic systems with characteristics of constant multiplicity, suppose that characteristics of constant multiplicity(> 1) are linearly degenerate, by means of generalized normalized coordinates we get the global existence and the blow-up phenomenon of the C^1 solution to the Cauchy problem under an additional hypothesis.