[Résultat d'existence pour l'équation eikonale unidimensionnelle]
Dans cette Note, nous considérons l'équation eikonale en une dimension d'espace décrivant le mouvement d'interfaces avec une vitesse non signée. Nous prouvons un résultat d'existence globale de solutions de viscosité discontinues dans un sens faible en considérant des données initiales BV.
In this Note, we consider the eikonal equation in one-dimensional space describing the evolution of interfaces moving with non-signed velocity. We prove a global existence result of discontinuous viscosity solutions in a weak sense by considering BV initial data.
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@article{CRMATH_2015__353_2_133_0,
author = {Boudjerada, Rachida and El Hajj, Ahmad and Moulay, Mohamed Said},
title = {Existence result for a one-dimensional eikonal equation},
journal = {Comptes Rendus. Math\'ematique},
pages = {133--137},
publisher = {Elsevier},
volume = {353},
number = {2},
year = {2015},
doi = {10.1016/j.crma.2014.11.008},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2014.11.008/}
}
TY - JOUR AU - Boudjerada, Rachida AU - El Hajj, Ahmad AU - Moulay, Mohamed Said TI - Existence result for a one-dimensional eikonal equation JO - Comptes Rendus. Mathématique PY - 2015 SP - 133 EP - 137 VL - 353 IS - 2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2014.11.008/ DO - 10.1016/j.crma.2014.11.008 LA - en ID - CRMATH_2015__353_2_133_0 ER -
%0 Journal Article %A Boudjerada, Rachida %A El Hajj, Ahmad %A Moulay, Mohamed Said %T Existence result for a one-dimensional eikonal equation %J Comptes Rendus. Mathématique %D 2015 %P 133-137 %V 353 %N 2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2014.11.008/ %R 10.1016/j.crma.2014.11.008 %G en %F CRMATH_2015__353_2_133_0
Boudjerada, Rachida; El Hajj, Ahmad; Moulay, Mohamed Said. Existence result for a one-dimensional eikonal equation. Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 133-137. doi : 10.1016/j.crma.2014.11.008. http://archive.numdam.org/articles/10.1016/j.crma.2014.11.008/
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