Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn) Schwerdt, Christoph , 1983- (VerfasserIn) Takáč, Peter , 1958- (AkademischeR BetreuerIn) Hundertmark, Dirk , 1965- (AkademischeR BetreuerIn) Universität Rostock (Grad-verleihende Institution) Universität Rostock Mathematisch-Naturwissenschaftliche Fakultät (Grad-verleihende Institution) Text theses Text Hochschulschrift 2024 2024 eng electronic resourceremoteComputermedienOnline-Ressource1 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)--(DE-627)1965210473 urn:nbn:de:gbv:28-rosdok_id00005172-6 doi: 10.18453/rosdok_id00005172 oclc: 1579129037 ppn: (DE-627)1965195598