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arXiv · 2202.10070

Carleman Estimates and Controllability of Stochastic degenerate parabolic Heat Equations

M. Baroun·M. Fadili·A. Khchine·L. Maniar
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Abstract

This paper concerns the null controllability for a class of stochastic degenerate parabolic equations. We first establish a global Carleman estimate for a linear forward stochastic degenerate equation with multiplicative noise. Using this estimate we prove the null controllability of the backward equation and obtain a partial result for the controllability of the forward equation. Also, using a new Carleman estimate for backward equation with weighted function which does not vanish at time t = 0 and the duality method HUM we get the null controllability of a forward stochastic degenerate equation under the action of two controls.

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M. Baroun, M. Fadili, A. Khchine, L. Maniar. 2022-02-21. Carleman Estimates and Controllability of Stochastic degenerate parabolic Heat Equations. https://arxiv.org/abs/2202.10070

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