%0 Book
%T Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)
%A Schwerdt, Christoph
%D 2024
%C Rostock
%C Universität Rostock
%G English
%F 1965195598
%O vorgelegt von Christoph Schwerdt
%O GutachterInnen: Peter Takáč (Universität Rostock) ; Dirk Hundertmark (Karlsruher Institut für Technologie (KIT))
%O Dissertation Universität Rostock 2025
%X 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>
%L 510
%9 theses
%9 Text
%9 Hochschulschrift
%R 10.18453/rosdok_id00005172
%U https://purl.uni-rostock.de/rosdok/id00005172
%U https://doi.org/10.18453/rosdok_id00005172