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Title
Symmetry Groups and the Observability of PDEs
AuthorKolar, Bernd ; Schöberl, Markus
Published in
Proceedings in Applied Mathematics and Mechanics, 2018, Vol. 18, Issue 1
PublishedWiley, 2018
LanguageEnglish
Document typeJournal Article
Project-/ReportnumberP 29964-N32
ISSN1617-7061
URNurn:nbn:at:at-ubl:3-781 Persistent Identifier (URN)
DOI10.1002/pamm.201800019 
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 The work is publicly available
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Symmetry Groups and the Observability of PDEs [0.14 mb]
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Abstract (English)

Symmetry groups of PDEs allow to transform solutions continuously into other solutions. In this contribution, we use symmetry groups for studying the observability of systems of nonlinear PDEs with input and output. Based on a differentialgeometric representation of the system, we present conditions for the existence of special symmetry groups that do not change the trajectories of the input and the output. If such a symmetry group exists, the system cannot be observable.

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CC-BY-License (4.0)Creative Commons Attribution 4.0 International License