In questa conferenza descrivo alcuni recenti sviluppi relativi al problema dell'unicità per l'equazione differenziale ordinaria e per l'equazione di continuità per campi vettoriali debolmente differenziabili. Descrivo infine un'applicazione di questi risultati a un sistema di leggi di conservazione.
In this talk I will illustrate some recent progress on the uniqueness problem for the transport equation and the ordinary differential equation associated to a weakly differentiable vector field. An application to a system of conservation laws will also be illustrated.
@article{BUMI_2004_8_7B_3_529_0,
author = {Luigi Ambrosio},
title = {Problema di trasporto e equazione di Cauchy per campi vettoriali a variazione limitata},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {7-A},
year = {2004},
pages = {529-543},
zbl = {1182.35083},
mrnumber = {2101650},
language = {it},
url = {http://dml.mathdoc.fr/item/BUMI_2004_8_7B_3_529_0}
}
Ambrosio, Luigi. Problema di trasporto e equazione di Cauchy per campi vettoriali a variazione limitata. Bollettino dell'Unione Matematica Italiana, Tome 7-A (2004) pp. 529-543. http://gdmltest.u-ga.fr/item/BUMI_2004_8_7B_3_529_0/
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