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Null Controllability for Stochastic Parabolic Equations with Dynamic Boundary Conditions

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Abstract

In this paper, we study the null controllability for general backward and forward linear stochastic parabolic equations with dynamic boundary conditions. For this purpose, new Carleman estimates for the solutions of both forward and backward stochastic adjoint problems are established.

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Authors and Affiliations

  1. Faculty of Sciences Semlalia, Cadi Ayyad University, LMDP, UMMISCO (IRD-UPMC), Marrakesh, P.B. 2390, Morocco

    Mahmoud Baroun, Abdellatif Elgrou & Lahcen Maniar

  2. National School of Applied Sciences, Cadi Ayyad University, LMDP, UMMISCO (IRD-UPMC), Marrakesh, P.B. 575, Morocco

    Said Boulite

Authors
  1. Mahmoud Baroun
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  2. Said Boulite
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  3. Abdellatif Elgrou
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  4. Lahcen Maniar
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Correspondence to Said Boulite.

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Baroun, M., Boulite, S., Elgrou, A. et al. Null Controllability for Stochastic Parabolic Equations with Dynamic Boundary Conditions. J Dyn Control Syst 29, 1727–1756 (2023). https://doi.org/10.1007/s10883-023-09656-y

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  • DOI: https://doi.org/10.1007/s10883-023-09656-y

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