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AuthorNerlich, Alexanderdc.contributor.author
Date of accession2018-11-15T14:34:12Zdc.date.accessioned
Available in OPARU since2018-11-15T14:34:12Zdc.date.available
Year of creation2018dc.date.created
Date of first publication2018-11-15dc.date.issued
AbstractThe origins of this thesis lie in the present author’s study of the asymptotic behavior of the weighted p-Laplacian evolution equation, which is one of the bench marks of nonlinear evolution equations and used to model many physical phenomena, such as the evolution of fluvial landscapes. Due to these modeling aspects, it is of great interest to add randomness to such an equation. In this thesis, we investigate two different ways of doing that: We literally add a pure-jump noise to a nonlinear semigroup and derive an existence, uniqueness and asymptotic theory for the resulting process; and secondly, we replace the weight function occurring in the p-Laplacian evolution equation by a random quantity. Hereby, the first approach will be set up for arbitrary nonlinear semigroups, and the applicability of our results will be demonstrated at hand of the p-Laplacian evolution equation; and the latter approach is written specifically for the p-Laplacian case.dc.description.abstract
Languageen_USdc.language.iso
PublisherUniversität Ulmdc.publisher
LicenseStandarddc.rights
Link to license texthttps://oparu.uni-ulm.de/xmlui/license_v3dc.rights.uri
KeywordStochasticsdc.subject
KeywordSLLNdc.subject
KeywordCLTdc.subject
KeywordNonlinear semigroupsdc.subject
KeywordP-Laplaciandc.subject
KeywordAsymptotic resultsdc.subject
Dewey Decimal GroupDDC 510 / Mathematicsdc.subject.ddc
LCSHProbabilitiesdc.subject.lcsh
LCSHLimit theorems (Probability theory)dc.subject.lcsh
LCSHSemigroupsdc.subject.lcsh
TitleAdding randomness to nonlinear semigroups: existence, uniqueness and asymptotic resultsdc.title
Resource typeDissertationdc.type
Date of acceptance2018-10-12dcterms.dateAccepted
RefereeSpodarev, Evgenydc.contributor.referee
RefereeArendt, Wolfgangdc.contributor.referee
RefereeBlömker, Dirkdc.contributor.referee
DOIhttp://dx.doi.org/10.18725/OPARU-10225dc.identifier.doi
PPN1041946147dc.identifier.ppn
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-oparu-10282-2dc.identifier.urn
GNDZentraler Grenzwertsatzdc.subject.gnd
FacultyFakultät für Mathematik und Wirtschaftswissenschaftenuulm.affiliationGeneral
InstitutionInstitut für Stochastikuulm.affiliationSpecific
Grantor of degreeFakultät für Mathematik und Wirtschaftswissenschaftenuulm.thesisGrantor
DCMI TypeTextuulm.typeDCMI
CategoryPublikationenuulm.category
University Bibliographyjauulm.unibibliographie


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