Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (1): 380-388.doi: 10.1016/S0252-9602(12)60024-1

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SBV REGULARITY OF GENUINELY NONLINEAR HYPERBOLIC SYSTEMS OF CONSERVATION LAWS IN ONE SPACE DIMENSION

Stefano Bianchini   

  1. SISSA, via Bonomea 265, IT-34136 Trieste, Italy
  • Received:2012-12-13 Online:2012-01-20 Published:2012-01-20

Abstract:

The problem of the presence of Cantor part in the derivative of a solution to a hyperbolic system of conservation laws is considered. An overview of the techniques involved in the proof is given, and a collection of related problems concludes the paper.

Key words: hyperbolic systems, conservation laws, SBV, regularity

CLC Number: 

  • 35L65
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