2 papers
math.OC2026
The Pontryagin maximum principle and -functions in rough environments
Estepan Ashkarian, Prakash Chakraborty, Harsha Honnappa +1
We derive the Pontryagin maximum principle and -functions for the relaxed control of noisy rough differential equations. Our main tool is the development of a novel differentiat…
math.AP2025
Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces
Estepan Ashkarian, Ataleshvara Bhargava, Nicholas Gismondi +1
In this paper we construct non-trivial solutions to the stationary Navier-Stokes equations on the two dimensional torus which lie in $\bigcap_{ε\in (0,1)} L^{2-ε}(\mathbb{T}^2) \ca…