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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

journal of applied mathematics

Nonlinear Decomposition of Doob-Meyer's Type for Continuous<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>g</mml:mi></mml:mrow></mml:math>-Supermartingale with Uniformly Continuous Coefficient

Nonlinear Decomposition of Doob-Meyer's Type for Continuousg-Supermartingale with Uniformly Continuous Coefficient