3 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.AP2020
A fractional degenerate parabolic-hyperbolic Cauchy problem with noise
Neeraj Bhauryal, Ujjwal Koley, Guy Vallet
We consider the Cauchy problem for a stochastic scalar parabolic-hyperbolic equation in any space dimension with nonlocal, nonlinear, and possibly degenerate diffusion terms. The e…
math.AP2019
The Cauchy problem for a fractional conservation laws driven by Lévy noise
Neeraj Bhauryal, Ujjwal Koley, Guy Vallet
In this article, we explore some of the main mathematical problems connected to multidimensional fractional conservation laws driven by Lévy processes. Making use of an adapted ent…