On Some Rigidity Properties in PDEs
On Some Rigidity Properties in PDEs
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DissertationPrüfungsdatum
28.03.2014Datum der Veröffentlichung
16.04.2014Erstgutachter
Koch, HerbertZweitgutachter
Otto, FelixMetadaten
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Inhalt
This thesis is dedicated to the study of three rigidity properties arising in different partial differential equations: (1) the backward uniqueness property of the heat equation in two-dimensional conical domains, (2) the weak and strong unique continuation principles for fractional Schrödinger equations with rough potentials and (3) the rigidity and non-rigidity of exactly stress-free configurations of a differential inclusion describing the cubic-to-orthorhombic phase transition in the geometrically linearized theory of elasticity.
Klassifikation (DDC)
510 MathematikRüland, Angkana: On Some Rigidity Properties in PDEs. - Bonn, 2014. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-35583
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-35583
@phdthesis{handle:20.500.11811/6067,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-35583,
author = {{Angkana Rüland}},
title = {On Some Rigidity Properties in PDEs},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = apr,
note = {This thesis is dedicated to the study of three rigidity properties arising in different partial differential equations: (1) the backward uniqueness property of the heat equation in two-dimensional conical domains, (2) the weak and strong unique continuation principles for fractional Schrödinger equations with rough potentials and (3) the rigidity and non-rigidity of exactly stress-free configurations of a differential inclusion describing the cubic-to-orthorhombic phase transition in the geometrically linearized theory of elasticity.},
url = {https://hdl.handle.net/20.500.11811/6067}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-35583,
author = {{Angkana Rüland}},
title = {On Some Rigidity Properties in PDEs},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = apr,
note = {This thesis is dedicated to the study of three rigidity properties arising in different partial differential equations: (1) the backward uniqueness property of the heat equation in two-dimensional conical domains, (2) the weak and strong unique continuation principles for fractional Schrödinger equations with rough potentials and (3) the rigidity and non-rigidity of exactly stress-free configurations of a differential inclusion describing the cubic-to-orthorhombic phase transition in the geometrically linearized theory of elasticity.},
url = {https://hdl.handle.net/20.500.11811/6067}
}
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