数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (1): 380-388.doi: 10.1016/S0252-9602(12)60024-1

• 论文 • 上一篇    下一篇

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
  • 收稿日期:2012-12-13 出版日期:2012-01-20 发布日期:2012-01-20

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

摘要:

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

关键词: hyperbolic systems, conservation laws, SBV, regularity

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

中图分类号: 

  • 35L65