期刊
INVERSE PROBLEMS
卷 21, 期 3, 页码 1047-1059出版社
IOP PUBLISHING LTD
DOI: 10.1088/0266-5611/21/3/015
关键词
-
The weak solution to the initial value problem for scalar conservation laws may develop a discontinuity called a shock. In this paper, we consider an inverse problem to determine the flux function entering the scalar conservation law by observing the shock developed by a single initial datum. We prove that the flux function on an interval can be uniquely determined by the shock. We also prove that this interval can be taken arbitrarily large by choosing an appropriate sequence of initial data. We then show that the derivatives of the flux function, and those of initial data, can be reconstructed in an explicit way from the coefficients of asymptotics of the shock wave.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据