On variant reflected backward SDEs, with applications.
Ma, Jin, Wang, Yusun (2009)
Journal of Applied Mathematics and Stochastic Analysis
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Ma, Jin, Wang, Yusun (2009)
Journal of Applied Mathematics and Stochastic Analysis
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Harraj, N., Ouknine, Y., Turpin, I. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Halidias, Nikolaos, Kloeden, P.E. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Briand, Philippe, Coquet, François, Hu, Ying, Mémin, Jean, Peng, Shige (2000)
Electronic Communications in Probability [electronic only]
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Gobet, Emmanuel, Kohatsu-Higa, Arturo (2003)
Electronic Communications in Probability [electronic only]
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Romain Abraham, Olivier Riviere (2006)
ESAIM: Probability and Statistics
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We consider a system of fully coupled forward-backward stochastic differential equations. First we generalize the results of Pardoux-Tang [7] concerning the regularity of the solutions with respect to initial conditions. Then, we prove that in some particular cases this system leads to a probabilistic representation of solutions of a second-order PDE whose second order coefficients depend on the gradient of the solution. We then give some examples in dimension 1 and dimension 2 for...
Alòs, Elisa, León, Jorge A., Pontier, Monique, Vives, Josep (2008)
Journal of Applied Mathematics and Stochastic Analysis
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