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20072024
most citedStochastic equations with delay: optimal control via BSDEs and regular solutions of Hamilton-Jacobi-Bellman equations

4 citations · 8 across the 19 of their papers we have counts for

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9 papers · 1 filter

math.PR2022

Nonlinear random perturbations of PDEs and quasi-linear equations in Hilbert spaces depending on a small parameter

Sandra Cerrai, Giuseppina Guatteri, Gianmario Tessitore

We study a class of quasi-linear parabolic equations defined on a separable Hilbert space, depending on a small parameter in front of the second order term. Through the nonlinear s…

math.PR2021

Partial smoothing of delay transition semigroups acting on special functions

Federica Masiero, Gianmario Tessitore

It is well known that the transition semigroup of an Ornstein Uhlenbeck process with delay is not strong Feller for small times, so it has no regularizing effects when acting on bo…

math.PR2019

Semilinear Kolmogorov equations on the space of continuous functions via BSDEs

Federica Masiero, Carlo Orrieri, Gianmario Tessitore +1

We deal with a class of semilinear parabolic PDEs on the space of continuous functions that arise, for example, as Kolmogorov equations associated to the infinite-dimensional lifti…

math.PR2018★ 1 cited

Ergodic Control of Infinite Dimensional SDEs with Degenerate Noise

Andrea Cosso, Giuseppina Guatteri, Gianmario Tessitore

The present paper is devoted to the study of the asymptotic behavior of the value functions of both finite and infinite horizon stochastic control problems and to the investigation…

math.PR2016

Ergodic maximum principle for stochastic systems

Carlo Orrieri, Gianmario Tessitore, Petr Veverka

We present a version of the stochastic maximum principle (SMP) for ergodic control problems. In particular we give necessary (and sufficient) conditions for optimality for controll…

math.PR2014

Stochastic Maximum Principle for Optimal Control ofPartial Differential Equations Driven by White Noise

Marco Fuhrman, Ying Hu, Gianmario Tessitore

We prove a stochastic maximum principle ofPontryagin's type for the optimal control of a stochastic partial differential equationdriven by white noise in the case when the set of c…