The method is based on construction of the dual-space semigroup corresponding to the HJB PDE. This dual-space semigroup is constructed from the dual-space semigroups corresponding to the constituent Hamiltonians.William M. McEneaneyInternational Federation of Automatic Control...
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HJB PDEValue FunctionPortfolioConsumptionStochastic FactorViscosity SolutionWe overcome a major obstacle in mathematical optimization. In so doing, we provide a smooth solution to the HJB PDE without assuming the differentiability of the value function. We apply our method to financial models....
We obtain a numerical method not subject to the curse-of-dimensionality. The method is based on construction of the dual-space semigroup corresponding to the HJB PDE. This dual-space semigroup is constructed from the dual-space semigroups corresponding to the constituent Hamiltonians....