Blow-up Mechanism of Classical Solutions to Quasilinear Hyperbolic Systems in the Critical Case*
Tatsien Li , Libin Wang
Chinese Annals of Mathematics, Series B ›› 2006, Vol. 27 ›› Issue (1) : 53 -66.
Blow-up Mechanism of Classical Solutions to Quasilinear Hyperbolic Systems in the Critical Case*
This paper deals with the blow-up phenomenon, particularly, the geometric blow-up mechanism, of classical solutions to the Cauchy problem for quasilinear hyperbolic systems in the critical case. We prove that it is still the envelope of the same family of characteristics which yields the blowup of classical solutions to the Cauchy problem in the critical case.
Quasilinear hyperbolic system / Classical solution / Blowup / Critical case / 35L45 / 35L60
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