Improved stability estimates on general scalar balance laws

Details Improved stability estimates on general scalar balance laws Improved stability estimates on general scalar balance laws

2010-10-25

arxiv.org/abs/1010.5116v1

Mathematics

Analysis of PDEs

Scientific paper

Consider the general scalar balance law $\partial_t u + \mathrm{Div} f (t, x, u) = F (t, x, u)$ 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.

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