Nous établissons un résultat d'approximation pour les équations aux dérivées partielles stochastiques nonlinéaires avec conditions de Neumann. Pour ce faire, nous utilisons la théorie des équations différentielles doublement stochastiques rétrogrades.
We establish an approximation result to the solution of a semi linear stochastic partial differential equation with a Neumann boundary condition. Our approach is based on the theory of backward doubly stochastic differential equations.
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@article{CRMATH_2008__346_1-2_79_0, author = {Mrhardy, Naoual}, title = {An approximation result for nonlinear {SPDEs} with {Neumann} boundary conditions}, journal = {Comptes Rendus. Math\'ematique}, pages = {79--82}, publisher = {Elsevier}, volume = {346}, number = {1-2}, year = {2008}, doi = {10.1016/j.crma.2007.11.025}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2007.11.025/} }
TY - JOUR AU - Mrhardy, Naoual TI - An approximation result for nonlinear SPDEs with Neumann boundary conditions JO - Comptes Rendus. Mathématique PY - 2008 SP - 79 EP - 82 VL - 346 IS - 1-2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.11.025/ DO - 10.1016/j.crma.2007.11.025 LA - en ID - CRMATH_2008__346_1-2_79_0 ER -
%0 Journal Article %A Mrhardy, Naoual %T An approximation result for nonlinear SPDEs with Neumann boundary conditions %J Comptes Rendus. Mathématique %D 2008 %P 79-82 %V 346 %N 1-2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.11.025/ %R 10.1016/j.crma.2007.11.025 %G en %F CRMATH_2008__346_1-2_79_0
Mrhardy, Naoual. An approximation result for nonlinear SPDEs with Neumann boundary conditions. Comptes Rendus. Mathématique, Tome 346 (2008) no. 1-2, pp. 79-82. doi : 10.1016/j.crma.2007.11.025. http://www.numdam.org/articles/10.1016/j.crma.2007.11.025/
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