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http://arxiv.org/pdf/1905.1119...
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Semigroups Associated with Differential-Algebraic Equations

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 2020Embargo end date: 01 Jan 2019 English Publisher:Springer International Publishing
Authors: Trostorff, Sascha;

doi: 10.1007/978-3-030-46079-2_5 , 10.48550/arxiv.1905.11197

arXiv: 1905.11197

Semigroups Associated with Differential-Algebraic Equations

Abstract

We consider differential-algebraic equations in infinite dimensional state spaces and study, under which conditions we can associate a $C_{0}$-semigroup with such equations. We determine the right space of initial values and characterise the existence of a $C_{0}$-semigroup in the case of operator pencils with polynomially bounded resolvents.

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Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Functional Analysis (math.FA)

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
Green