2 citations · 5 across the 13 of their papers we have counts for
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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…
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 is…
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…