• Stabilization of the higher order nonlinear Schrödinger equation with constant coefficients

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      https://www.ias.ac.in/article/fulltext/pmsc/128/03/0039

    • Keywords

       

      Stabilization; higher order nonlinear Schrödinger equation; Korteweg– de Vries equation

    • Abstract

       

      We study the internal stabilization of the higher order nonlinear Schrödinger equation with constant coefficients. Combining multiplier techniques, a fixed point argument and nonlinear interpolation theory, we can obtain the well-posedness. Then, applying compactness arguments and a unique continuation property, we prove that the solution of the higher-order nonlinear Schrödinger equation with a damping term decays exponentially.

    • Author Affiliations

       

      MO CHEN1

      1. School of Mathematics and Statistics, Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, People’s Republic of China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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