JournalspmVol. 78, No. 1pp. 65–99

The cost of approximate controllability of heat equation with general dynamical boundary conditions

  • Idriss Boutaayamou

    Université Ibn Zohr, Ouarzazate, Morocco

  • Salah-Eddine Chorfi

    Cadi Ayyad University, Marrakesh, Morocco

  • Lahcen Maniar

    Université Cadi Ayyad, Marrakesh, Morocco

  • Omar Oukdach

    Cadi Ayyad University, Marrakesh, Morocco
The cost of approximate controllability of heat equation with general dynamical boundary conditions cover
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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.

Cite this article

Idriss Boutaayamou, Salah-Eddine Chorfi, Lahcen Maniar, Omar Oukdach, The cost of approximate controllability of heat equation with general dynamical boundary conditions. Port. Math. 78 (2021), no. 1, pp. 65–99

DOI 10.4171/PM/2061