[Unicité des solutions non bornées du flot lagrangien à courbure moyenne pour les graphes]
Nous remarquons que le résultat de comparaison de Barles–Biton–Ley sur les solutions de viscosité d'une classe d'équations non linéaires paraboliques peut être appliqué à une équation géométrique, complètement non linéaire parabolique qui apparaît dans les solutions graphiques pour les flots Lagrangiens à courbure moyenne.
We observe that the comparison result of Barles–Biton–Ley for viscosity solutions of a class of nonlinear parabolic equations can be applied to a geometric fully nonlinear parabolic equation which arises from the graphic solutions for the Lagrangian mean curvature flow.
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@article{CRMATH_2009__347_17-18_1031_0,
author = {Chen, Jingyi and Pang, Chao},
title = {Uniqueness of unbounded solutions of the {Lagrangian} mean curvature flow equation for graphs},
journal = {Comptes Rendus. Math\'ematique},
pages = {1031--1034},
publisher = {Elsevier},
volume = {347},
number = {17-18},
year = {2009},
doi = {10.1016/j.crma.2009.06.020},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.crma.2009.06.020/}
}
TY - JOUR AU - Chen, Jingyi AU - Pang, Chao TI - Uniqueness of unbounded solutions of the Lagrangian mean curvature flow equation for graphs JO - Comptes Rendus. Mathématique PY - 2009 SP - 1031 EP - 1034 VL - 347 IS - 17-18 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.crma.2009.06.020/ DO - 10.1016/j.crma.2009.06.020 LA - en ID - CRMATH_2009__347_17-18_1031_0 ER -
%0 Journal Article %A Chen, Jingyi %A Pang, Chao %T Uniqueness of unbounded solutions of the Lagrangian mean curvature flow equation for graphs %J Comptes Rendus. Mathématique %D 2009 %P 1031-1034 %V 347 %N 17-18 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.crma.2009.06.020/ %R 10.1016/j.crma.2009.06.020 %G en %F CRMATH_2009__347_17-18_1031_0
Chen, Jingyi; Pang, Chao. Uniqueness of unbounded solutions of the Lagrangian mean curvature flow equation for graphs. Comptes Rendus. Mathématique, Tome 347 (2009) no. 17-18, pp. 1031-1034. doi : 10.1016/j.crma.2009.06.020. https://www.numdam.org/articles/10.1016/j.crma.2009.06.020/
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