| title: |
| Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn) |
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| contributing persons: |
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| contributing corporate bodies: |
| Universität Rostock[Grad-verleihende Institution] |
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38329-6 |
| Universität Rostock. Mathematisch-Naturwissenschaftliche Fakultät[Grad-verleihende Institution] |
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2147083-2 |
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| abstract: |
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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.
[English] |
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| document type: |
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| institution: |
| Faculty of Mathematics and Natural Sciences |
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| language: |
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| subject class (DDC): |
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| extent: |
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1 Online-Ressource (80, 3 Seiten)
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publication /
production: |
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Rostock: Universität Rostock
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2024
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| statement of responsibility: |
| vorgelegt von Christoph Schwerdt |
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| identifiers: |
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| access condition: |
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| license/rights statement: |
all rights reserved
This work may only be used under the terms of the German Copyright Law (Urheberrechtsgesetz). |
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| RosDok id: |
rosdok_disshab_0000003465 |
| created / modified: |
13.03.2026 / 13.03.2026
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| metadata license: |
The metadata of this document was dedicated to the public domain
(CC0 1.0 Universal Public Domain Dedication). |
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