This paper explores controllability of systems with dynamic boundaries, suggesting insensitizing controls enhance equation management in stochastic contexts.
In this paper, we establish the existence of insensitizing controls for forward linear stochastic parabolic equations with dynamic boundary conditions. We begin by reducing the insensitizing control problem to a classical controllability property of a cascade system of coupled forward-backward stochastic parabolic equations. Next, we derive a suitable observability inequality for the adjoint system using a new Carleman estimate. Finally, employing the classical duality arguments, we solve the considered control problem.
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Baroun et al. (2025) studied this question.
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