3 papers
math.AP2026
On the Optimal Control Problem of Stochastic Semilinear Partial Differential Equations with Non-Globally Lipschitz Coefficients
Oleksiy Kapustyan, Olha Martynyuk, Oleksandr Misiats +1
In this paper, we study optimal control problems for stochastic semilinear partial differential equations, which lack the maximum principle, and whose coefficients do not have boun…
math.AP2026
Long-time behavior of a nonlocal and non-monotone SPDE-ODE system arising in electrophysiology
Tobias Gebäck, Oleksandr Misiats, Ioanna Motschan Ulander +1
This paper concerns a coupled semilinear SPDE-ODE system modelling the electropermeabilization phenomenon, which designates a transient increase in cell membrane permeability induc…
math.AP2026
Long Time Behavior of Stochastic Thin Film Equation
Oleksiy Kapustyan, Olha Martynyuk, Oleksandr Misiats +1
We consider the stochastic thin-film equation with linear deterministic and stochastic Itô perturbations. The existence of nonnegative weak martingale solutions on the semi-axis i…