Geometric Structures arising from Partial Differential Equations
Geometric Structures arising from Partial Differential Equations
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DissertationPrüfungsdatum
06.11.2013Datum der Veröffentlichung
14.01.2014Erstgutachter
Koch, HerbertZweitgutachter
Thiele, ChristophMetadaten
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Inhalt
We study several geometric problems arising from partial differential equations: (1) the geometry of Laplacian Eigenfunctions on smooth, compact manifolds without boundary (2) the energy landscape of the conservation laws of the defocusing generalized Korteweg de Vries equation (3) level sets of harmonic functions in the unit disc (4) periodic solutions of ODEs in Banach spaces and (5) packing problems related to nodal domain estimates for Laplacian eigenfunctions in the plane in the style of Pleijel.
Klassifikation (DDC)
510 MathematikSteinerberger, Stefan: Geometric Structures arising from Partial Differential Equations. - Bonn, 2014. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-34324
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-34324
@phdthesis{handle:20.500.11811/5803,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-34324,
author = {{Stefan Steinerberger}},
title = {Geometric Structures arising from Partial Differential Equations},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = jan,
note = {We study several geometric problems arising from partial differential equations: (1) the geometry of Laplacian Eigenfunctions on smooth, compact manifolds without boundary (2) the energy landscape of the conservation laws of the defocusing generalized Korteweg de Vries equation (3) level sets of harmonic functions in the unit disc (4) periodic solutions of ODEs in Banach spaces and (5) packing problems related to nodal domain estimates for Laplacian eigenfunctions in the plane in the style of Pleijel.},
url = {https://hdl.handle.net/20.500.11811/5803}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-34324,
author = {{Stefan Steinerberger}},
title = {Geometric Structures arising from Partial Differential Equations},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = jan,
note = {We study several geometric problems arising from partial differential equations: (1) the geometry of Laplacian Eigenfunctions on smooth, compact manifolds without boundary (2) the energy landscape of the conservation laws of the defocusing generalized Korteweg de Vries equation (3) level sets of harmonic functions in the unit disc (4) periodic solutions of ODEs in Banach spaces and (5) packing problems related to nodal domain estimates for Laplacian eigenfunctions in the plane in the style of Pleijel.},
url = {https://hdl.handle.net/20.500.11811/5803}
}
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