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In this Note, we provide an original proof of the comparison theorem for multidimensional Brownian BSDEs in the case where at each line k the generator depends on the matrix variable Z only through its row k.
Dans cette Note, nous donnons une preuve originale du théorème de comparaison pour les EDSR multidimensionnelles browniennes dans le cas où chaque ligne k du générateur ne dépend que de la k-ième ligne de lʼinconnue Z.
Kharroubi, Idris 1, 2
@article{CRMATH_2011__349_7-8_463_0, author = {Kharroubi, Idris}, title = {Comparison theorem for {Brownian} multidimensional {BSDEs} via jump processes}, journal = {Comptes Rendus. Math\'ematique}, pages = {463--468}, publisher = {Elsevier}, volume = {349}, number = {7-8}, year = {2011}, doi = {10.1016/j.crma.2011.03.012}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.03.012/} }
TY - JOUR AU - Kharroubi, Idris TI - Comparison theorem for Brownian multidimensional BSDEs via jump processes JO - Comptes Rendus. Mathématique PY - 2011 SP - 463 EP - 468 VL - 349 IS - 7-8 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.03.012/ DO - 10.1016/j.crma.2011.03.012 LA - en ID - CRMATH_2011__349_7-8_463_0 ER -
%0 Journal Article %A Kharroubi, Idris %T Comparison theorem for Brownian multidimensional BSDEs via jump processes %J Comptes Rendus. Mathématique %D 2011 %P 463-468 %V 349 %N 7-8 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.03.012/ %R 10.1016/j.crma.2011.03.012 %G en %F CRMATH_2011__349_7-8_463_0
Kharroubi, Idris. Comparison theorem for Brownian multidimensional BSDEs via jump processes. Comptes Rendus. Mathématique, Tome 349 (2011) no. 7-8, pp. 463-468. doi : 10.1016/j.crma.2011.03.012. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2011.03.012/
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