RELATING SYSTEMS PROPERTIES OF THE WAVE AND THE SCHRODINGER EQUATION

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TitreRELATING SYSTEMS PROPERTIES OF THE WAVE AND THE SCHRODINGER EQUATION
Type de publicationJournal Article
Year of Publication2015
AuteursZwart H, Le Gorrec Y, Maschke B
JournalEVOLUTION EQUATIONS AND CONTROL THEORY
Volume4
Pagination233-240
Date PublishedJUN
Type of ArticleArticle
ISSN2163-2480
Mots-clésExact observability, Schrodinger equation, Wave equation, well-posedness
Résumé

In this article we show that systems properties of the systems governed by the second order differential equation d(2)w/dt(2) = A(0)w and the first order differential equation dz/dl = iA(0)z 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 Schriidinger equation.

DOI10.3934/eect.2015.4.233