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Hypercontractivity of solutions to Hamilton-Jacobi equations. (English) Zbl 1001.60066
Summary: We show that solutions to some Hamilton-Jacobi equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity property.
##### MSC:
 60H15 Stochastic partial differential equations (aspects of stochastic analysis)
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##### References:
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