Preprint 2008-041

Regularity of entropy solutions

Jinghua Wang

Abstract: 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.

Paper:: Available as PDF (211 Kbytes).
Author(s):: Jinghua Wang, jwang (at) amss ac cn
Publishing information:
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Submitted by:: jwang (at) amss ac cn; 2008-11-24.

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Last modified: 2008-12-03 14:02 UTC