English

Improved stability estimates on general scalar balance laws

Analysis of PDEs 2013-07-25 v2

Abstract

Consider the general scalar balance law tu+Divf(t,x,u)=F(t,x,u)\partial_t u + \mathrm{Div} f(t, x, u) = F(t, x, u) in several space dimensions. The aim of this note is to improve the results of Colombo, Mercier, Rosini who gave an estimate of the dependence of the solutions from the flow f and from the source F. The improvements are twofold: first the expression of the coefficients in these estimates are more precise; second, we eliminate some regularity hypotheses thus extending significantly the applicability of our estimates.

Keywords

Cite

@article{arxiv.1010.5116,
  title  = {Improved stability estimates on general scalar balance laws},
  author = {Magali Lécureux-Mercier},
  journal= {arXiv preprint arXiv:1010.5116},
  year   = {2013}
}

Comments

Correction sur le coefficient $\kappa^*$

R2 v1 2026-06-21T16:33:41.126Z