JournalspmVol. 68 / No. 1DOI 10.4171/pm/1879

Stabilization of the Schrödinger equation with a delay term in boundary feedback or internal feedback

  • Serge Nicaise

    Université de Valenciennes et du Hainaut Cambrésis, Valenciennes, France
  • Salah-eddine Rebiai

    Université de Batna, Algeria
Stabilization of the Schrödinger equation with a delay term in boundary feedback or internal feedback cover

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Abstract

In this paper, we investigate the effect of time delays in boundary or internal feedback stabilization of the Schrödinger equation. In both cases, under suitable assumptions, we establish sufficient conditions on the delay term that guarantee the exponential stability of the solution. These results are obtained by using suitable energy functionals and some observability estimates.