dc.contributor.advisor | Malinnikova, Eugenia | |
dc.contributor.advisor | Grepstad, Sigrid | |
dc.contributor.advisor | Logunov, Alexandr | |
dc.contributor.author | Decio, Stefano | |
dc.date.accessioned | 2022-07-15T11:52:15Z | |
dc.date.available | 2022-07-15T11:52:15Z | |
dc.date.issued | 2022 | |
dc.identifier.isbn | 978-82-326-6208-1 | |
dc.identifier.issn | 2703-8084 | |
dc.identifier.uri | https://hdl.handle.net/11250/3005742 | |
dc.description.abstract | In this thesis we will study zeros and growth properties of solutions to elliptic PDEs. In particular, we first study zeros of linear combination of Laplace-Beltrami eigenfunctions via a growth estimate for positive solutions of higher order elliptic PDEs. A large part of the thesis is then dedicated to the nodal set of Steklov eigenfunctions, which are solutions to an elliptic spectral problem. Finally, we prove a delicate gradient inequality for Laplace-Beltrami eigenfunctions. The key motive throughout the thesis is that solutions to elliptic PDEs behave like polynomials. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | NTNU | en_US |
dc.relation.ispartofseries | Doctoral theses at NTNU;2022:216 | |
dc.title | Nodal Geometry and Growth of Solutions to Elliptic Partial Differential Equations | en_US |
dc.type | Doctoral thesis | en_US |
dc.subject.nsi | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |