IMPROVED STABILITY ESTIMATES FOR GENERAL SCALAR CONSERVATION LAWS
IMPROVED STABILITY ESTIMATES FOR GENERAL SCALAR CONSERVATION LAWS
复制标题
改进一般标量守恒定律的稳定性估计
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
Magali Lécureux
中科院分区：
文献类型：
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作者：
Magali Lécureux
本文考虑了多维空间中一般标量平衡律f（t，x，u）= F（t，x，u），改进了科隆博，Mercier和Rosini关于解对通量f和源F的依赖性的估计.改进是双重的：首先，这些估计中的系数的表达更清晰，其次，我们消除了一些正则性假设，从而显着扩展了这些估计的适用性。
We consider the general scalar balance law ∂t u + Div f(t, x, u) = F(t, x, u) in several space dimensions and improve the results of Colombo, Mercier and Rosini who gave an estimate of the dependence of the solutions in terms of the flux f and the source F. The improvement is two-fold: first, the expression of the coefficients in these estimates are sharper and, second, we eliminate some regularity hypotheses, and thus extend significantly the applicability of these estimates.