<div class="csl-bib-body">
<div class="csl-entry">Freißlinger, A. (2023). <i>Maximal regularity of the abstract Cauchy problem</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2023.112840</div>
</div>
-
dc.identifier.uri
https://doi.org/10.34726/hss.2023.112840
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/177296
-
dc.description
Abweichender Titel nach Übersetzung der Verfasserin/des Verfassers
-
dc.description.abstract
In this thesis we will study maximal regularity of the abstract Cauchy problem while introducing the notion of strict maximal regularity, which also requires the solution to be p-th power integrable. We will study relations between these two notions of maximal regularity and see that they are strongly linked to analytic semigroups. Furthermore, we will show that (strict) maximal regularity is independent of the power p and prove sufficient conditions if the underlying space happens to be a Hilbert space.
en
dc.language
English
-
dc.language.iso
en
-
dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
-
dc.subject
Strongly continuous operator-semigroups
en
dc.subject
abstract Cauchy Problem
en
dc.title
Maximal regularity of the abstract Cauchy problem
en
dc.title.alternative
Maximale Regularität des abstrakten Cauchy Problems
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2023.112840
-
dc.contributor.affiliation
TU Wien, Österreich
-
dc.rights.holder
Alexander Freißlinger
-
dc.publisher.place
Wien
-
tuw.version
vor
-
tuw.thesisinformation
Technische Universität Wien
-
tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
