Mollifier

DIANA Research Group
DIfferential Algebras and Nonlinear Analysis

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Master theses

Annegret BurtscherIsomorphisms of Algebras of Smooth and Generalized Functions
Supervisor:Michael Kunzinger
Completed:06/2009
Stefan FürdösLocal Solvability of Partial Differential Equations
Supervisor:Roland Steinbauer
Completed:10/2010
Vera GanglbergerThe kernel theorem and microlocal analysis for distributions on manifolds
Supervisor:Günther Hörmann
Completed:08/2010
Martina GlogowatzContinuity of pseudodifferential operators on Sobolev spaces
Supervisor:Günther Hörmann
Completed:01/2008
Christian Haderer Causal Structure and Singularity Theory on Space-Times
Supervisor:Michael Kunzinger
Completed:08/2010
Clemens HanelLinear hyperbolic second order partial differential equations on space time
Supervisor:Roland Steinbauer
Completed:11/2006
Klaus KrönckeComparison theorems in Riemannian geometry
Supervisor:Michael Kunzinger
Completed:09/2009
Hermann LametschwandtnerThe Cauchy problem for hyperbolic pseudodifferential operators with non-smooth symbols
Supervisor:Günther Hörmann
Expected completion:12/2010
Alice Mikikits-LeitnerFunctional analytical methods for hyperbolic partial differential operators
Supervisor:Günther Hörmann
Completed:05/2007
Eduard NigschColombeau generalized functions on manifolds
Supervisor:Michael Kunzinger
Completed:10/2006
Simon RösslerDifferential operators on manifolds
Supervisor:Michael Kunzinger
Completed:02/2011
David RottensteinerFoundations of Harmonic Analysis on the Heisenberg Group
Supervisor:Roland Steinbauer
Completed:05/2010
Jasmin SahbegovicRegularity and stability of functional equations in spaces of distributions
Supervisor:Michael Kunzinger
Completed:09/2006
Clemens SämannThe classical and distributional Denjoy integral
Supervisor:Günther Hörmann
Expected completion:12/2010
Christina SchmidtOn the sharp topology in algebras of generalized functions
Supervisor:Roland Steinbauer
Completed:07/2008
Herwig SpornbergerOrdinary differential equations in a non-smooth setting
Supervisor:Roland Steinbauer
Completed:12/2007
Madgalena StraussPartial Differential Operators with generalized coefficients: Hypoellipiticity and Solvability
Supervisor:Michael Kunzinger
Completed:07/2006
Nathalie TassottiWarped products in general relativity
Supervisor:Michael Kunzinger
Completed:07/2010
Jan-Hendrik TreudeLorentzian Singularity Theorems and Comparison Geometry
Supervisor:Roland Steinbauer
Expected completion:12/2010
Matthias WinterFunctional analytic methods for paraxial wave equations
Supervisor:Günther Hörmann
Expected completion:12/2010
Esin YurdagülWavelet Transform and Regularity of Temperate Distributions
Supervisor:Günther Hörmann
Completed:06/2007

PhD theses

Katharina BrazdaThe elasto-gravitational equations in global seismology
Supervisor:Günther Hörmann
Expected completion:12/2011
Annegret BurtscherA synthetic approach to space-times of low regularity
Supervisor:James D.E. Grant
Expected completion:12/2013
Evelina ErlacherLocal existence results in algebras of generalized functions
Supervisor:Michael Grosser
Completed:05/2007
Martina GlogowatzFactorization of second order strictly hyperbolic operators with non-smooth coefficients
Supervisor:Günther Hörmann
Expected completion:12/2011
Simon HallerGeneralized regularity and solution concepts for differential equations
Supervisor:Günther Hörmann
Completed:06/2008
Clemens HanelWave equations with non-smooth coefficients in a geometrical setting
Supervisor:Roland Steinbauer
Expected completion:10/2011
Sanja KonjikGroup analysis in algebras of generalized functions
Supervisor:Michael Kunzinger
Completed:03/2008
Eberhard MayerhoferThe wave equation on singular space-times
Supervisor:Michael Kunzinger
Completed:08/2006
Eduard NigschA nonlinear theory of generalized tensor of Riemannian manifolds
Supervisor:Michael Kunzinger
Completed:12/2010
Ljubica OparnicaMethods from distribution theory and generalized functions for differential equations with discontinous coefficients in mechanical models
Supervisor:Günther Hörmann
Completed:02/2008
Christian SpreitzerSymmetric hyperbolic systems of partial differential equations with distributional coefficients and applications in theoretical physics
Supervisor:Günther Hörmann
Expected completion:12/2011

[START Homepage | Project Description | Publications | Theses]
Last changed November 25, 2010 by M.K. and R.S.