Stability and asymptotic behaviour of solutions of the heat equation

Aassila, Mohammed

In: IMA Journal of Applied Mathematics, 2004, vol. 69, no. 1, p. 93-109

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    In this paper we study the boundary stabilization of the heat equation. The stabilization is achieved by applying either Dirichlet or Neumann feedback boundary control. Furthermore, we consider the asymptotic behaviour of the heat equation with general linear delay or nonlinear power time delay. We prove that the energy does not grow faster than a polynomial