2 papers
math.PR2023
Pathwise stochastic control and a class of stochastic partial differential equations
Neeraj Bhauryal, Ana Bela Cruzeiro, Carlos Oliveira
We consider a pathwise stochastic optimal control problem and study the associated (not necessarily adapted) Hamilton-Jacobi-Bellman stochastic partial differential equation. We sh…
math.AP2022
On the well-posedness of a Hamilton-Jacobi-Bellman equation with transport noise
Neeraj Bhauryal, Ana Bela Cruzeiro, Carlos Oliveira
In this paper we consider the following non-linear stochastic partial differential equation (SPDE): \begin{align*} \begin{cases} \mathrm{d}u(s,x)=\sum^n_{i=1} \mathscr{L}_i u(s,x)\…