REGULARITY OF ENTROPY SOLUTIONS TO NONCONVEX SCALAR CONSERVATION LAWS WITH MONOTONE INITIAL DATA

doi:10.1016/S0252-9602(09)60058-8

摘要/Abstract

摘要：

We prove that for a given strictly increasing initial datum in C^k, the solution of the initial value problem is piecewise C^k smooth except for flux functions of nonconvex conservation laws in a certain subset of C^k+1 of first category, defined in the range of the initial datum.

关键词: piecewise smooth solutions, noncovex conservation laws, a set of first cate-gory

Abstract:

Key words: piecewise smooth solutions, noncovex conservation laws, a set of first cate-gory

中图分类号:

35L65

王靖华. REGULARITY OF ENTROPY SOLUTIONS TO NONCONVEX SCALAR CONSERVATION LAWS WITH MONOTONE INITIAL DATA[J]. 数学物理学报(英文版), 2009, 29(3): 613-628.

Wang Jinghua. REGULARITY OF ENTROPY SOLUTIONS TO NONCONVEX SCALAR CONSERVATION LAWS WITH MONOTONE INITIAL DATA[J]. Acta mathematica scientia,Series B, 2009, 29(3): 613-628.

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