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Nonlinear decomposition of Doob-Meyer's type for continuous \(g\)-supermartingale with uniformly continuous coefficient - MaRDI portal

Nonlinear decomposition of Doob-Meyer's type for continuous \(g\)-supermartingale with uniformly continuous coefficient (Q1714741)

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scientific article; zbMATH DE number 7010734
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Nonlinear decomposition of Doob-Meyer's type for continuous \(g\)-supermartingale with uniformly continuous coefficient
scientific article; zbMATH DE number 7010734

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    Nonlinear decomposition of Doob-Meyer's type for continuous \(g\)-supermartingale with uniformly continuous coefficient (English)
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    1 February 2019
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    Summary: We prove that a continuous \(g\)-supermartingale with uniformly continuous coeffcient \(g\) on finite or infinite horizon, is a \(g\)-supersolution of the corresponding backward stochastic differential equation. It is a new nonlinear Doob-Meyer decomposition theorem for the \(g\)-supermartingale with continuous trajectory.
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