Blow-up for hyperbolic systems in diagonal form

  • Ferruccio Colombini
  • Daniele Del Santo


We prove a blow-up result for classical solutions of the Cauchy problem for a nonlinear hyperbolic system in one space dimension. The initial conditions are periodic and the system is supposed to be in diagonal form. We give an estimate of the lifespan of the classical solutions.

Key words: Blow-up, hyperbolic systems. 


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Copyright information

© Birkhäuser Verlag, Basel, 2001

Authors and Affiliations

  • Ferruccio Colombini
    • 1
  • Daniele Del Santo
    • 2
  1. 1.Dipartimento di Matematica, Universitá di Pisa, Via F. Buonarroti 2, 56127 Pisa, Italy, e-mail: COLOMBIN@dm.unipi.itIT
  2. 2.Dipartimento di Scienze Matematiche, Universitá di Trieste, Via A. Valerio 12/1, 34127 Trieste, Italy, e-mail: DELSANTO@univ.trieste.itIT

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