@Book{1965195598,
author="Schwerdt, Christoph",
title="Intrinsic ultracontractivity of Schr{\"o}dinger semigroups in L2 (Rn)",
year="2024",
address="Rostock",
abstract="A possible intrinsic ultracontractivity of the magnetic Schr{\"o}dinger 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 Schr{\"o}dinger 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>",
school="Universit{\"a}t Rostock",
note="vorgelegt von Christoph Schwerdt",
note="GutachterInnen: Peter Tak{\'a}{\v{c}} (Universit{\"a}t Rostock) ; Dirk Hundertmark (Karlsruher Institut f{\"u}r Technologie (KIT))",
note="Dissertation Universit{\"a}t Rostock 2025",
doi="10.18453/rosdok_id00005172",
url="https://purl.uni-rostock.de/rosdok/id00005172",
url="https://doi.org/10.18453/rosdok_id00005172",
language="English"
}