mycoreobjectrosdok_disshab_0000003465rosdok_disshab_0000003465rosdokdisshabrosdok_derivate_00002263122026-03-13T13:05:56.984Z2026-03-13T12:39:17.733ZMCRJANITOReditorFGpublished1rosdok_derivate_0000226312truetruederivate_types:fulltextVolltextfulltextwf_edit_epub wf_register_epubstate:publishedstate:publishedveröffentlichtpublishedrosdok/id000051721965195598Oau2026-03-132026-03-13T12:52:39ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.10 [SCM: "f6c168af690edb7cb65ef34e4a2bf7f8714c5d38" "v2.10" "2024-03-28T14:43:08+0100"] with mode 'DEFAULT'.DissertationHochschulschriftIntrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)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.ChristophSchwerdt1983 -VerfasserInaut1392850894PeterTakáč1958 -AkademischeR BetreuerIndgs136477593Universität RostockDirkHundertmark1965 -AkademischeR BetreuerIndgs1157252370000-0002-0643-0138Karlsruher Institut für Technologie (KIT)38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgghttps://purl.uni-rostock.de/rosdok/id00005172urn:nbn:de:gbv:28-rosdok_id00005172-610.18453/rosdok_id00005172510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenNutzungsrechte erteiltLizenz Metadaten: CC0frei zugänglich (Open Access)en1 Online-Ressource (80, 3 Seiten)2024Universität RostockRostockmonographic202520242026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005172Peter Takáč (Universität Rostock) ; Dirk Hundertmark (Karlsruher Institut für Technologie (KIT))[{"name":"Takáč, Peter","affil":"Universität Rostock"},{"name":"Hundertmark, Dirk","affil":"Karlsruher Institut für Technologie (KIT)"}]Dissertation, Universität Rostock, 2025vorgelegt von Christoph SchwerdtTakáč, PeterUniversität RostockHundertmark, DirkKarlsruher Institut für Technologie (KIT)doctype:epubdoctype:epubDokumenttypDocument typedoctype:epub.dissertationdoctype:epub.dissertationDissertationdoctoral thesisdiniPublType:doctoralThesis diniPublType2022:PhDThesis XMetaDissPlusThesisLevel:thesis.doctoralinfo:eu-repo/semantics/doctoralThesisdocumentnatureOfContent:ppn_105825778natureOfContent:ppn_105825778HochschulschriftdiniPublType2022:DoctoralThesisdiniPublType2022:DoctoralThesisDissertation oder HabilitationDoctoral thesisDRIVERdiniPublType2022:PhDThesisdiniPublType2022:PhDThesisDissertationPhD thesisKDSF (Pu34)XMetaDissPlusThesisLevel:thesis.doctoralXMetaDissPlusThesisLevel:thesis.doctoralDoktorarbeitdoctoral thesisSDNB:510SDNB:510510 Mathematik510 Mathematicsinstitution:unirostockinstitution:unirostockUniversität RostockUniversity of RostockUniversität RostockUniversität RostockUni.Rostockhttp://d-nb.info/gnd/38329-6institution:unirostock.mnfinstitution:unirostock.mnfMathematisch-Naturwissenschaftliche FakultätFaculty of Mathematics and Natural SciencesUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätMathematisch-Natur-<br />wissenschaftliche FakultätUni.Rostock.Fakultaet.MNFhttp://d-nb.info/gnd/2147083-2licenseinfo:worklicenseinfo:workWerkworklicenseinfo:work.rightsreservedlicenseinfo:work.rightsreservedalle Rechte vorbehaltenall rights reserved/creativecommons/r/reserved/0.9/88x31.png[DE-28]Urheberrechtsschutz 1.0$gRights Statements$uhttp://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/http://rightsstatements.org/vocab/InC/1.0/licenseinfo:depositlicenseinfo:depositVeröffentlichungsgenehmigungpermission to storelicenseinfo:deposit.rightsgrantedlicenseinfo:deposit.rightsgrantedNutzungsrechte erteiltrights grantedlicenseinfo:metadatalicenseinfo:metadataLizenzen für Metadatenlicenseinfo:metadata.cc0licenseinfo:metadata.cc0Lizenz Metadaten: CC0license metadata: CC0/creativecommons/p/zero/1.0/88x31.pnghttps://creativecommons.org/publicdomain/zero/1.0/accesscondition:openaccessaccesscondition:openaccessfrei zugänglich (Open Access)open accesshttp://purl.org/coar/access_right/c_abf2OAfreeinfo:eu-repo/semantics/openAccess[DE-28]Open Access$gControlled Vocabulary for Access Rights$uhttp://purl.org/coar/access_right/c_abf2rfc5646:enrfc5646:enEnglischEnglishengengIntrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)gnd:1392850894gnd:136477593gnd:115725237orcid:0000-0002-0643-0138gnd:38329-6gnd:2147083-2gnd:1392850894gnd:136477593gnd:115725237orcid:0000-0002-0643-0138gnd:38329-6gnd:2147083-2rosdok_disshab_0000003465-d1553267e52gnd:1392850894Christoph SchwerdtChristoph Schwerdtrosdok_disshab_0000003465-d1553267e66gnd:136477593Peter TakáčPeter Takáčrosdok_disshab_0000003465-d1553267e81gnd:115725237orcid:0000-0002-0643-0138Dirk HundertmarkDirk Hundertmarkrosdok_disshab_0000003465-d1553267e98gnd:38329-6Universität RostockUniversität Rostockrosdok_disshab_0000003465-d1553267e112gnd:2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätChristoph SchwerdtPeter TakáčDirk HundertmarkUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätChristoph SchwerdtPeter TakáčDirk HundertmarkUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätChristoph SchwerdtRostockUniversität Rostockepub.dissertationhttps://purl.uni-rostock.de/rosdok/id00005172urn:nbn:de:gbv:28-rosdok_id00005172-610.18453/rosdok_id00005172A 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.20242024Peter Takáč (Universität Rostock) ; Dirk Hundertmark (Karlsruher Institut für Technologie (KIT))[{"name":"Takáč, Peter","affil":"Universität Rostock"},{"name":"Hundertmark, Dirk","affil":"Karlsruher Institut für Technologie (KIT)"}]Dissertation, Universität Rostock, 2025vorgelegt von Christoph Schwerdtepub.dissertation1 Schwerdt_Dissertation_2026.pdf 972605 594e16fd65c426572f712e7dd517789c rosdok/id000051721965195598Oau2026-03-132026-03-13T12:52:39ZrdaConverted from PICA to MODS using Pica2MODS XSLT Transformer 2.10 [SCM: "f6c168af690edb7cb65ef34e4a2bf7f8714c5d38" "v2.10" "2024-03-28T14:43:08+0100"] with mode 'DEFAULT'.DissertationHochschulschriftIntrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)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.ChristophSchwerdt1983 -VerfasserInaut1392850894PeterTakáč1958 -AkademischeR BetreuerIndgs136477593Universität RostockDirkHundertmark1965 -AkademischeR BetreuerIndgs1157252370000-0002-0643-0138Karlsruher Institut für Technologie (KIT)38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgghttps://purl.uni-rostock.de/rosdok/id00005172urn:nbn:de:gbv:28-rosdok_id00005172-610.18453/rosdok_id00005172510 MathematikMathematisch-Naturwissenschaftliche Fakultätalle Rechte vorbehaltenNutzungsrechte erteiltLizenz Metadaten: CC0frei zugänglich (Open Access)en1 Online-Ressource (80, 3 Seiten)2024Universität RostockRostockmonographic202520242026Universitätsbibliothek RostockRostock2026Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005172Peter Takáč (Universität Rostock) ; Dirk Hundertmark (Karlsruher Institut für Technologie (KIT))[{"name":"Takáč, Peter","affil":"Universität Rostock"},{"name":"Hundertmark, Dirk","affil":"Karlsruher Institut für Technologie (KIT)"}]Dissertation, Universität Rostock, 2025vorgelegt von Christoph Schwerdt Takáč, Peter Universität Rostock Hundertmark, Dirk Karlsruher Institut für Technologie (KIT) 2026-03-13T12:39:17.733Z 2026-03-13T13:05:56.984Z 2026-03-23T13:05:56.995Z editorFG {"identifier":"rosdok/id00005172","type":"local_id","additional":"","service":"MCRLocalID","created":"2026-03-13T12:39:18.208Z"} {"identifier":"urn:nbn:de:gbv:28-rosdok_id00005172-6","type":"dnbUrn","additional":"","service":"RosDokURN","created":"2026-03-13T12:39:18.226Z"} {"identifier":"https://purl.uni-rostock.de/rosdok/id00005172","type":"purl","additional":"","service":"RosDokPURL","created":"2026-03-13T12:39:18.235Z","registrationStarted":"2026-03-13T13:04:55.806Z"} {"identifier":"10.18453/rosdok_id00005172","type":"doi","additional":"","service":"RosDokDOI","created":"2026-03-13T12:39:18.241Z","registrationStarted":"2026-03-13T13:04:55.437Z","registered":"2026-03-13T13:05:56.981Z"} MCRJANITORfulltextfile/rosdok_disshab_0000003465/rosdok_derivate_0000226312/Schwerdt_Dissertation_2026.pdfIntrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)Intrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)gnd:1392850894gnd:136477593gnd:115725237orcid:0000-0002-0643-0138gnd:38329-6gnd:2147083-2gnd:1392850894gnd:136477593gnd:115725237orcid:0000-0002-0643-0138gnd:38329-6gnd:2147083-2rosdok_disshab_0000003465-d1553267e52gnd:1392850894Christoph SchwerdtChristoph Schwerdtrosdok_disshab_0000003465-d1553267e66gnd:136477593Peter TakáčPeter Takáčrosdok_disshab_0000003465-d1553267e81gnd:115725237orcid:0000-0002-0643-0138Dirk HundertmarkDirk Hundertmarkrosdok_disshab_0000003465-d1553267e98gnd:38329-6Universität RostockUniversität Rostockrosdok_disshab_0000003465-d1553267e112gnd:2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätChristoph SchwerdtPeter TakáčDirk HundertmarkUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätChristoph SchwerdtPeter TakáčDirk HundertmarkUniversität RostockUniversität Rostock. Mathematisch-Naturwissenschaftliche FakultätChristoph SchwerdtRostockUniversität Rostockepub.dissertationhttps://purl.uni-rostock.de/rosdok/id00005172urn:nbn:de:gbv:28-rosdok_id00005172-610.18453/rosdok_id00005172A 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.20242024Peter Takáč (Universität Rostock) ; Dirk Hundertmark (Karlsruher Institut für Technologie (KIT))[{"name":"Takáč, Peter","affil":"Universität Rostock"},{"name":"Hundertmark, Dirk","affil":"Karlsruher Institut für Technologie (KIT)"}]Dissertation, Universität Rostock, 2025vorgelegt von Christoph Schwerdt[xslt]Saxonrosdok/id00005172https://purl.uni-rostock.de/rosdok/id00005172196519559810.18453/rosdok_id00005172urn:nbn:de:gbv:28-rosdok_id00005172-6Christoph SchwerdtSchwerdt ChristophIntrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)Dissertationdoctoral thesisUniversität Rostock, 2024A 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…Christoph SchwerdtIntrinsic ultracontractivity of Schrödinger semigroups in L2 (Rn)Universitätsbibliothek Rostockhttps://purl.uni-rostock.de/rosdok/id00005172ChristophSchwerdt1983 -VerfasserInaut1392850894PeterTakáč1958 -AkademischeR BetreuerIndgs136477593Universität RostockDirkHundertmark1965 -AkademischeR BetreuerIndgs1157252370000-0002-0643-0138Karlsruher Institut für Technologie (KIT)38329-6Universität Rostock1419 - 19761990 -Grad-verleihende Institutiondgg2147083-2Universität Rostock. Mathematisch-Naturwissenschaftliche FakultätGrad-verleihende Institutiondgg[purl]https://purl.uni-rostock.de/rosdok/id00005172[urn]urn:nbn:de:gbv:28-rosdok_id00005172-6[doi]10.18453/rosdok_id00005172open_access20242024epoch:21th_centuryrfc5646:endoctype:epub.dissertationaccesscondition:openaccessSDNB:510institution:unirostock.mnfstate:published