2012•Comptes Rendus MathématiqueOpen access

Stochastic maximum principle for optimal control of SPDEs

Marco Fuhrman, Ying Hu, Gianmario Tessitore

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Abstract

In this Note, we give the stochastic maximum principle for optimal control of stochastic PDEs in the general case (when the control domain need not be convex and the diffusion coefficient can contain a control variable).

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In this Note, we give the stochastic maximum principle for optimal control of stochastic PDEs in the general case (when the control domain need not be convex and the diffusion coefficient can contain a control variable).

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OpenAlex reports 30 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this Note, we give the stochastic maximum principle for optimal control of stochastic PDEs in the general case (when the control domain need not be convex and the diffusion coefficient can contain a control variable).

Key concepts: Maximum principle, Mathematics, Adjoint equation, Optimal control, Stochastic control, Stochastic differential equation, Stochastic partial differential equation, Pontryagin's minimum principle

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