Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)
Schwerdt, Christoph
1983-
VerfasserIn
aut
Takáč, Peter
1958-
AkademischeR BetreuerIn
dgs
Hundertmark, Dirk
1965-
AkademischeR BetreuerIn
dgs
Universität Rostock
Grad-verleihende Institution
dgg
Universität Rostock
Mathematisch-Naturwissenschaftliche Fakultät
Grad-verleihende Institution
dgg
text
theses
Text
Hochschulschrift
gw
2024
monographic
XA-DE
Rostock
Universität Rostock
publisher
2024
Rostock
Universitätsbibliothek Rostock
distributor
eng
1 Online-Ressource (80, 3 Seiten)
A possible intrinsic ultracontractivity of the magnetic Schrödinger semigroups was investigated. Usually, Rosen inequalities are essential for intrinsic ultracontractivity but hard to find since a specific asymptotical behaviour of the ground state is required. However, in the magnetic case operators of the Schrödinger semigroup are no longer positivity improving. This causes a variety of problems including the use of Logarithmic Sobolev inequalities. Using diamagnetic inequalities quasi intrinsic ultracontractivity was shown in the magnetic case.<eng>
Open Access
Urheberrechtsschutz 1.0
vorgelegt von Christoph Schwerdt
GutachterInnen: Peter Takáč (Universität Rostock) ; Dirk Hundertmark (Karlsruher Institut für Technologie (KIT))
Dissertation Universität Rostock 2025
510
https://purl.uni-rostock.de/rosdok/id00005172
Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)
Rostock : Universität Rostock, 2024
Druck-Ausgabe
(DE-627)1965210473
Schwerdt, Christoph, 1983 -
urn:nbn:de:gbv:28-rosdok_id00005172-6
10.18453/rosdok_id00005172
1579129037
rda
DE-627
260313
1965195598
20260313T151941.0
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