Null controllability for parabolic equations with dynamic boundary conditions of reactive-diffusive type

2013/11/04 by Lahcen Maniar, Maniar, Lahcen, Martin Meyries +3 · 1 citation
Computer Science · Engineering · Mathematics · #93B07 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Optimization and Control (math.OC) #Primary: 93B05. Secondary: 35K20 #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1311.0761

openalex publication_date 2013/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove null controllability for linear and semilinear heat equations with dynamic boundary conditions of surface diffusion type. The results are based on a new Carleman estimate for this type of boundary conditions.

Cited by

• Carleman Estimates and Controllability of Forward Stochastic Parabolic Equations with General Dynamic Boundary Conditions

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