Viscosity Solutions of Fully Nonlinear Elliptic Path Dependent PDEs
classification
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math.PR
keywords
pathdependentellipticfullynonlinearpdesadditionalassumption
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This paper introduces a convenient solution space for the uniformly elliptic fully nonlinear path dependent PDEs. It provides a wellposedness result under standard Lipschitz-type assumptions on the nonlinearity and an additional assumption formulated on some partial differential equation defined locally by freezing the path.
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