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 language | Undefined |
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Pages (from-to) | 233-240 |
Number of pages | 8 |
Journal | Evolution equations and control theory |
Volume | 4 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 2015 |
Keywords
- MSC-93B07
- MSC-93C20
- MSC-35Q41
- EWI-26604
- IR-99221
- Schrödinger equation
- Well-posedness
- Wave equation
- METIS-315606
- Exact observability