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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Publié le :
Jingyi Chen 1 ; Chao Pang 1
@article{CRMATH_2009__347_17-18_1031_0, author = {Jingyi Chen and Chao Pang}, 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}, }
TY - JOUR AU - Jingyi Chen AU - Chao Pang 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 DO - 10.1016/j.crma.2009.06.020 LA - en ID - CRMATH_2009__347_17-18_1031_0 ER -
Jingyi Chen; Chao Pang. Uniqueness of unbounded solutions of the Lagrangian mean curvature flow equation for graphs. Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1031-1034. doi : 10.1016/j.crma.2009.06.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.06.020/
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