Null controllability for stochastic parabolic equations with dynamic boundary conditions

DOI10.1007/s10883-023-09656-yOpenAlexW4384935601MaRDI QIDQ6145765

Abdellatif Elgrou, Said Boulite, Mahmoud Baroun, Lahcen Maniar

Publication date: 9 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-023-09656-y

zbMATH Keywords

observabilitynull controllabilitydynamic boundary conditionsglobal Carleman estimateslinear stochastic parabolic equations

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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• Adapted solution of a backward stochastic differential equation
• Unique continuation for stochastic parabolic equations
• Some results on the controllability of forward stochastic heat equations with control on the drift
• Null controllability for a heat equation with dynamic boundary conditions and drift terms
• Stochastic parabolic equations with nonlinear dynamical boundary conditions
• Carleman estimates and controllability of linear stochastic heat equations
• Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
• Exact controllability for semilinear parabolic equations with Neumann boundary conditions
• Null controllability for parabolic equations with dynamic boundary conditions
• Carleman estimates for stochastic parabolic equations with Neumann boundary conditions and applications
• Parabolic stochastic partial differential equations with dynamical boundary conditions.
• Null controllability of the heat equation with boundary Fourier conditions: the linear case
• Null Controllability for Forward and Backward Stochastic Parabolic Equations
• Contróle Exact De Léquation De La Chaleur
• Mathematical Control Theory for Stochastic Partial Differential Equations
• Stochastic Equations in Infinite Dimensions
• Carleman Estimates of Some Stochastic Degenerate Parabolic Equations and Application
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Global Carleman estimate for stochastic parabolic equations, and its application