Title | A quantitative compactness estimate for scalar conservation laws. |

Publication Type | Journal Article |

Year of Publication | 2005 |

Authors | De Lellis C., Golse F. |

Journal | Communications on Pure and Applied Mathematics |

Volume | 58 |

Pagination | 989–998 |

Publisher | Wiley-Blackwell |

Type of Article | scalar |

ISSN | 0010-3640 |

Keywords | Applied Mathematics, General Mathematics |

Abstract | In the case of a scalar conservation law with convex flux in space dimension one, P. D. Lax proved [Comm. Pure and Appl. Math. 7 (1954)] that the semigroup defining the entropy solution is compact in L for each positive time. The present note gives an estimate of the -entropy in L of the set of entropy solutions at time t \ensuremath> 0 whose initial data run through a bounded set in L1. \copyright 2005 Wiley Periodicals, Inc. |

Notes | Comm. Pure Appl. Math. 58 (2005), no. 7, 989–998. |

URL | http://onlinelibrary.wiley.com/doi/10.1002/cpa.20082/abstract;jsessionid=9C41677BAABD402F02E61E46EBDC67F8.d03t01 |

DOI | 10.1002/cpa.20082 |

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