1. Hypercontractivity of solutions to Hamilton-Jacobi equations Creator: Goldys, Benjamin Format: bez média and svazek Type: model:article and TEXT Subject: Hamilton-Jacobi equation, stochastic semilinear equation, invariant measure, Log-Sobolev inequality, and hypercontractivity Language: English Description: We show that solutions to some Hamilton-Jacobi Equations associated to the problem of optimal control of stochastic semilinear equations enjoy the hypercontractivity property. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public