Relating systems properties of the wave and the Schrödinger equation

Heiko J. Zwart, Yann Le Gorrec, B.M. Maschke

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    1 Citation (Scopus)

    Abstract

    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 languageUndefined
    Pages (from-to)233-240
    Number of pages8
    JournalEvolution equations and control theory
    Volume4
    Issue number2
    DOIs
    Publication statusPublished - Jun 2015

    Keywords

    • MSC-93B07
    • MSC-93C20
    • MSC-35Q41
    • EWI-26604
    • IR-99221
    • Schrödinger equation
    • Well-posedness
    • Wave equation
    • METIS-315606
    • Exact observability

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