On the geometry of nodal sets and nodal domains
On the geometry of nodal sets and nodal domains
dc.contributor.advisor | Ballmann, Werner | |
dc.contributor.author | Georgiev, Bogdan | |
dc.date.accessioned | 2020-04-25T13:52:08Z | |
dc.date.available | 2020-04-25T13:52:08Z | |
dc.date.issued | 13.12.2018 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/7680 | |
dc.description.abstract | In the present work, we study and prove results related to the nodal geometry of Laplacian eigenfunctions on closed Riemannian manifolds, as well as solutions to more general classes of elliptic partial differential equations. The discussion includes results concerning: nodal set bounds, volumes of tubular neighbourhoods around nodal sets, width and shape of nodal domains, etc. | |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Laplace-Operator | |
dc.subject | Menge von Knoten | |
dc.subject | Laplacian eigenfunctions | |
dc.subject | nodal sets | |
dc.subject | nodal domains | |
dc.subject.ddc | 510 Mathematik | |
dc.title | On the geometry of nodal sets and nodal domains | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5n-52827 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbn.birthname | Bogdan Georgiev | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 5282 | |
ulbbnediss.date.accepted | 23.10.2018 | |
ulbbnediss.institute | Mathematisch-Naturwissenschaftliche Fakultät : Fachgruppe Mathematik / Mathematisches Institut | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Koch, Herbert |
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