Relating systems properties of the wave and the Schrödinger equation

H Zwart, Y Le Gorrec, B Maschke

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In this article we show that systems properties of the systems governed by the second order differential equation d2wdt2=−A0w and the first order differential equation dzdt=iA0z are related. This can be used to show that, for instance, exact observability of the N-dimensional wave equation implies the similar property for the N-dimensional Schrödinger equation.
Original languageEnglish
Pages (from-to)233-240
Number of pages8
JournalEvolution equations and control theory
Issue number2
Publication statusPublished - Jun 2015


  • Exact observability
  • Schrodinger equation
  • Wave equation
  • Well-posedness
  • 2023 OA procedure

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