Now showing items 1-10 of 17
Invariant sets and long time behaviour of operator semigroups
(Universität Ulm, 2017-02-10)
In this PhD thesis, strongly continuous operator semigroups are studied. We show that contractivity or positivity of such a semigroup can have a profound impact on its long time behaviour. Moreover, we perform a detailed ...
Cycle decompositions and t-perfect graphs
(Universität Ulm, 2017-10-18)
The thesis is divided into two parts. The first part deals with t-perfect graphs. A graph is called t-perfect if its stable set polytope is fully described by non-negativity, edge and odd-cycle constraints. We give ...
Hebbarkeit singulärer Mengen der m-Hesse-Gleichungen
(Universität Ulm, 2017-11-06)
In dieser Arbeit geben wir eine neue, weniger restriktive Forderung für die Hebbarkeit singulärer Mengen E von glatten Lösungen der m-Hesse Gleichung (und auch für allgemeinere nichtlineare elliptische Gleichungen) auf ...
Exponential domination, exponential independence, and the clustering coefficient
(Universität Ulm, 2017-11-22)
This dissertation contains four research papers. The first two papers are about exponential domination in graphs, which is a variant of domination in graphs. In the first paper, we show results about the corresponding ...
Nichtlineare partielle Differentialgleichungen vom gemischten elliptisch-hyperbolischen Typ
(Universität Ulm, 2017-08-28)
This thesis studies the article "Local solutions to a class of Monge-Ampère equations of mixed type" by Qing Han (Duke Math. J., Vol. 136, No. 3, 2007). The article proves the existence of sufficiently smooth local solutions ...
On problems related to graph colouring
(Universität Ulm, 2017-11-24)
In this thesis we study various problems from the prominent area of graph colourings. We provide a characterisation of t-perfect triangulations and quadrangulations of the projective plane. For the latter class, a novel ...
Curvature based criteria for slow invariant manifold computation: from differential geometry to numerical software implementations for model reduction in hydrocarbon combustion
(Universität Ulm, 2017-05-04)
Mathematical models for chemical kinetics are multiple times scale dynamical systems based on ordinary differential equations and can be reduced in order to decrease the dimensionality of the state space and the complexity ...
Second order parabolic equations with non-local boundary conditions on L∞(Ω) and C(Ω̅): generation, regularity and asymptotics
(Universität Ulm, 2017-07-05)
The aim of the present thesis is to analyze second order parabolic equations with non-local boundary conditions of Dirichlet and Robin type on the spaces L∞(Ω) and C(Ω̅). We will prove well-posedness of such equations and ...
Risk management of variable annuities
(Universität Ulm, 2017-07-05)
Variable annuities are unit-linked life insurance contracts where typically an initial investment amount is invested in one or several mutual funds. On top of this basic structure, certain guarantee riders are offered by ...
Elastic flow of curves: existence and asymptotic behavior
(Universität Ulm, 2017)