The cost of approximate controllability of heat equation with general dynamical boundary conditions
Idriss Boutaayamou, S. E. Chorfi, Lahcen Maniar, Omar Oukdach
Abstract
We consider the heat equation with dynamic boundary conditions involving gradient terms in a bounded domain. In this paper we study the cost of approximate controllability for this equation. Combining new developed Carleman estimates and some optimization techniques, we obtain explicit bounds of the minimal norm control. We consider the linear and the semilinear cases.
Topics & Concepts
ControllabilityMathematicsBoundary (topology)Heat equationMathematical analysisBoundary value problemApplied mathematicsStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems