TY  - BOOK
AU  - Schwerdt, Christoph
PY  - 2024
DA  - 2024//
TI  - Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)
PB  - Universität Rostock
CY  - Rostock
AB  - 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>
UR  - https://purl.uni-rostock.de/rosdok/id00005172
UR  - https://doi.org/10.18453/rosdok_id00005172
DO  - 10.18453/rosdok_id00005172
LA  - English
N1  - vorgelegt von Christoph Schwerdt
ID  - 1965195598
ER  -