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This paper aims to explore stochastic optimal control problems with measurable coefficients and their solutions.

Stochastic Optimal Control with Measurable Coefficients and Applications

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Randomized trial explores optimal feedback controls in stochastic optimal control problems, indicating new results in economics.

This paper aims to explore stochastic optimal control problems with measurable coefficients and their solutions.
Considered fully nonlinear stochastic optimal control problems in infinite horizon setting.
Established existence of viscosity solutions for Hamilton–Jacobi–Bellman equations.
Developed verification theorems for necessary and sufficient conditions for optimality.
Constructed optimal feedback controls successfully for the presented problems.
Characterized the value function as the unique viscosity solution of the HJB equation.
Provided the first results for the specific class of optimal control problems addressed.

Filippo de Feo (2026) studied this question.

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