Stability and Total Variation Estimates on General Scalar Balance Laws

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dc.creatorColombo, Rinaldo M.
dc.creatorMercier, Magali
dc.creatorRosini, Massimiliano D
dc.date2008-10-14
dc.date.accessioned2026-07-07T10:13:34Z
dc.date.available2026-07-07T10:13:34Z
dc.descriptionConsider the general scalar balance law $\partial_t u + \Div f(t, x,u) = F(t,x,u)$ in several space dimensions. The aim of this note is to estimate the dependence of its solutions from the flow $f$ and from the source $F$. To this aim, a bound on the total variation in the space variables of the solution is obtained. This result is then applied to obtain well posedness and stability estimates for a balance law with a non local source.
dc.identifierhttps://arxiv.org/abs/0810.2462
dc.identifierhttp://arxiv.org/abs/0810.2462
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172578
dc.subjectAnalysis of PDEs
dc.titleStability and Total Variation Estimates on General Scalar Balance Laws
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