[Existence « presque partout » des équations de continuité avec données initiales mesures]
Dans cette Note, nous présentons des nouveaux résultats concernant l'existence, l'unicité (au sens « presque partout ») et la stabilité pour des équations de continuité avec données initiales mesures. Les preuves de tous ces résultats sont données dans Ambrosio et al. [4], avec aussi des applications à la limite semiclassique pour l'équation de Schrödinger.
The aim of this Note is to present some new results concerning “almost everywhere” well-posedness and stability of continuity equations with measure initial data. The proofs of all such results can be found in Ambrosio et al. [4], together with some application to the semiclassical limit of the Schrödinger equation.
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@article{CRMATH_2010__348_5-6_249_0,
author = {Ambrosio, Luigi and Figalli, Alessio},
title = {Almost everywhere well-posedness of continuity equations with measure initial data},
journal = {Comptes Rendus. Math\'ematique},
pages = {249--252},
publisher = {Elsevier},
volume = {348},
number = {5-6},
year = {2010},
doi = {10.1016/j.crma.2010.01.018},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.01.018/}
}
TY - JOUR AU - Ambrosio, Luigi AU - Figalli, Alessio TI - Almost everywhere well-posedness of continuity equations with measure initial data JO - Comptes Rendus. Mathématique PY - 2010 SP - 249 EP - 252 VL - 348 IS - 5-6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.01.018/ DO - 10.1016/j.crma.2010.01.018 LA - en ID - CRMATH_2010__348_5-6_249_0 ER -
%0 Journal Article %A Ambrosio, Luigi %A Figalli, Alessio %T Almost everywhere well-posedness of continuity equations with measure initial data %J Comptes Rendus. Mathématique %D 2010 %P 249-252 %V 348 %N 5-6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2010.01.018/ %R 10.1016/j.crma.2010.01.018 %G en %F CRMATH_2010__348_5-6_249_0
Ambrosio, Luigi; Figalli, Alessio. Almost everywhere well-posedness of continuity equations with measure initial data. Comptes Rendus. Mathématique, Tome 348 (2010) no. 5-6, pp. 249-252. doi : 10.1016/j.crma.2010.01.018. http://www.numdam.org/articles/10.1016/j.crma.2010.01.018/
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