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Classical solutions of linear regulator for degenerate diffusions (Q937470)

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scientific article; zbMATH DE number 5312398
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English
Classical solutions of linear regulator for degenerate diffusions
scientific article; zbMATH DE number 5312398

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    Classical solutions of linear regulator for degenerate diffusions (English)
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    15 August 2008
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    Summary: We study a stochastic control problem for linear degenerate systems. We establish the existence of a classical solution of the degenerate Bellman equation by the technique of viscosity solutions, and the optimal policy is shown to exist from the optimality conditions.
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    stochastic optimal control problem
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    Bellmann equation
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    viscosity solutions
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    optimality conditions
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