Journal of Evolution Equations

, Volume 3, Issue 2, pp 283–301 | Cite as

Conservation laws with discontinuous flux functions and boundary condition

  • José Carrillo


In a bounded domain \( \Omega \) we study the existence and uniqueness of entropy solutions of \( \partial u/\partial t + \mathrm {div}\, \Phi (u) = f\quad \mathrm{with}\quad u(0)=u_0 \), where \( \Phi \) is allowed to have some discontinuities of first type.


Boundary Condition Bounded Domain Entropy Solution Flux Function Discontinuous Flux 
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Copyright information

© Birkhäuser Verlag Basel, 2003

Authors and Affiliations

  • José Carrillo
    • 1
  1. 1.Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain, e-mail: jose_carrillo@mat.ucm.esES

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