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Hawking's singularity theorem for Lipschitz Lorentzian metrics
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2025
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Matteo Calisti
Melanie Graf
Eduardo Hafemann
Michael Kunzinger
Roland Steinbauer
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On the completeness of the space $\mathcal{O}_C$
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2024
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Michael Kunzinger
Norbert Ortner
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The equivalence of smooth and synthetic notions of timelike sectional curvature bounds
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2024
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Tobias Beran
Michael Kunzinger
Argam Ohanyan
Felix Rott
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On curvature bounds in Lorentzian length spaces
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2024
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Tobias Beran
Michael Kunzinger
Felix Rott
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Ricci curvature bounds and rigidity for non-smooth Riemannian and
semi-Riemannian metrics
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2024
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Michael Kunzinger
Argam Ohanyan
Alessio Vardabasso
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The equivalence of smooth and synthetic notions of timelike sectional
curvature bounds
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2024
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Tobias Beran
Michael Kunzinger
Argam Ohanyan
Felix Rott
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PDF
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A Grothendieck topos of generalized functions I: basic theory
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2024
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Paolo Giordano
Michael Kunzinger
Hans Vernaeve
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PDF
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A dynamic capillarity equation with stochastic forcing on manifolds: A singular limit problem
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2023
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Kenneth H. Karlsen
Michael Kunzinger
Darko Mitrović
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Synthetic versus distributional lower Ricci curvature bounds
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2023
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Michael Kunzinger
Michael Oberguggenberger
James Vickers
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On curvature bounds in Lorentzian length spaces
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2023
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Tobias Beran
Michael Kunzinger
Felix Rott
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PDF
Chat
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Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems
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2023
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Stephanie Alexander
Melanie Graf
Michael Kunzinger
Clemens Sämann
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PDF
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Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds
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2022
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Melanie Graf
Michael Kunzinger
Darko Mitrović
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PDF
Chat
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Null Distance and Convergence of Lorentzian Length Spaces
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2022
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Michael Kunzinger
Roland Steinbauer
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PDF
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The Hawking–Penrose Singularity Theorem for $$C^1$$-Lorentzian Metrics
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2022
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Michael Kunzinger
Argam Ohanyan
Benedict Schinnerl
Roland Steinbauer
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Nonlinear Theory of Generalized Functions
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2022
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Michael Grosser
Günther Hörmann
Michael Kunzinger
Michael Oberguggenberger
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+
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Lie Symmetries of Differential Equations in a Generalized Functions Setting
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2022
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Michael Kunzinger
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+
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Synthetic versus distributional lower Ricci curvature bounds
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2022
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Michael Kunzinger
Michael Oberguggenberger
James Vickers
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+
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Galerkin-type methods for strictly parabolic equations on compact Riemannian manifolds
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2022
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Melanie Graf
Michael Kunzinger
Darko Mitrovich
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+
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A dynamic capillarity equation with stochastic forcing on manifolds: a singular limit problem
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2022
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Kenneth H. Karlsen
Michael Kunzinger
Darko Mitrović
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+
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Parameter-dependent linear ordinary differential equations and topology of domains
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2021
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V. Boyko
Michael Kunzinger
Roman O. Popovych
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The category of generalized smooth functions I: basic theory
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2021
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Paolo Giordano
Michael Kunzinger
Hans Vernaeve
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+
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Null distance and convergence of Lorentzian length spaces
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2021
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Michael Kunzinger
Roland Steinbauer
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+
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A Grothendieck topos of generalized functions I: basic theory
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2021
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Paolo Robuffo Giordano
Michael Kunzinger
Hans Vernaeve
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PDF
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A vanishing dynamic capillarity limit equation with discontinuous flux
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2020
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Melanie Graf
Michael Kunzinger
Darko Mitrović
Djordjije Vujadinović
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PDF
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The future is not always open
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2019
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James D. E. Grant
Michael Kunzinger
Clemens Sämann
Roland Steinbauer
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Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems
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2019
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Michael Kunzinger
Eduard A. Nigsch
Norbert Ortner
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+
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Generalized cones as Lorentzian length spaces: Causality, curvature, and singularity theorems
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2019
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Stephanie Alexander
Melanie Graf
Michael Kunzinger
Clemens Sämann
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PDF
Chat
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Inextendibility of spacetimes and Lorentzian length spaces
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2018
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James D. E. Grant
Michael Kunzinger
Clemens Sämann
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PDF
Chat
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Lorentzian length spaces
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2018
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Michael Kunzinger
Clemens Sämann
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Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems
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2018
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Michael Kunzinger
Eduard A. Nigsch
Norbert Ortner
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+
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A vanishing dynamic capillarity limit equation with discontinuous flux.
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2018
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Melanie Graf
Michael Kunzinger
Darko Mitrović
Djordjie Vujadinovic
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+
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Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems
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2018
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Michael Kunzinger
Eduard A. Nigsch
Norbert Ortner
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+
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A vanishing dynamic capillarity limit equation with discontinuous flux
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2018
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Melanie Graf
Michael Kunzinger
Darko Mitrović
Djordjie Vujadinovic
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PDF
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The Hawking–Penrose Singularity Theorem for C 1,1-Lorentzian Metrics
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2017
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Melanie Graf
James D. E. Grant
Michael Kunzinger
Roland Steinbauer
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Lorentzian length spaces
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2017
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Michael Kunzinger
Clemens Sämann
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Well-posedness theory for degenerate parabolic equations on Riemannian manifolds
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2017
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Melanie Graf
Michael Kunzinger
Darko Mitrović
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PDF
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A Convenient Notion of Compact Set for Generalized Functions
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2017
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Paolo Giordano
Michael Kunzinger
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PDF
Chat
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Inverse Function Theorems for Generalized Smooth Functions
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2017
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Paolo Giordano
Michael Kunzinger
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Lorentzian length spaces
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2017
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Michael Kunzinger
Clemens Sämann
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Well-posedness theory for degenerate parabolic equations on Riemannian manifolds
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2016
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Melanie Graf
Michael Kunzinger
Darko Mitrović
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PDF
Chat
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Singular reduction modules of differential equations
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2016
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V. Boyko
Michael Kunzinger
Roman O. Popovych
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Well-posedness theory for degenerate parabolic equations on Riemannian manifolds
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2016
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Melanie Graf
Michael Kunzinger
Darko Mitrović
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+
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Inverse Function Theorems for Generalized Smooth Functions
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2016
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Paolo Robuffo Giordano
Michael Kunzinger
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PDF
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The Penrose singularity theorem in regularity <i>C</i> <sup>1,1</sup>
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2015
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Michael Kunzinger
Roland Steinbauer
James Vickers
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Lie Transformation Groups - An Introduction to Symmetry Group Analysis of Differential Equations
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2015
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Michael Kunzinger
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Hawking’s singularity theorem for <i>C</i> <sup>1,1</sup> -metrics
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2015
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Michael Kunzinger
Roland Steinbauer
Мilena Stojkovic
James Vickers
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PDF
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A Regularization Approach to Non-smooth Symplectic Geometry
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2015
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Günther Hörmann
Sanja Konjik
Michael Kunzinger
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Lie Transformation Groups - An Introduction to Symmetry Group Analysis of Differential Equations
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2015
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Michael Kunzinger
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A convenient notion of compact set for generalized functions
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2014
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Paolo Giordano
Michael Kunzinger
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Strongly internal sets and generalized smooth functions
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2014
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Paolo Giordano
Michael Kunzinger
Hans Vernaeve
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PDF
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A regularisation approach to causality theory for $$C^{1,1}$$ C 1 , 1 -Lorentzian metrics
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2014
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Michael Kunzinger
Roland Steinbauer
Мilena Stojkovic
James Vickers
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Singularity structures for noncommutative spaces
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2014
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Shantanu Dave
Michael Kunzinger
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The exponential map of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-metric
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2014
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Michael Kunzinger
Roland Steinbauer
Мilena Stojkovic
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PDF
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Symplectic Modules Over Colombeau-Generalized Numbers
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2014
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Günther Hörmann
Sanja Konjik
Michael Kunzinger
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Strongly internal sets and generalized smooth functions
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2014
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Paolo Giordano
Michael Kunzinger
Hans Vernaeve
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+
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A convenient notion of compact set for generalized functions
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2014
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Paolo Robuffo Giordano
Michael Kunzinger
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+
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Strongly internal sets and generalized smooth functions
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2014
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Paolo Robuffo Giordano
Michael Kunzinger
Hans Vernaeve
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+
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A regularization approach to non-smooth symplectic geometry
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2014
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Guenther Hoermann
Sanja Konjik
Michael Kunzinger
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+
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Causality theory for $C^{1,1}$-Lorentzian metrics
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2013
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Michael Kunzinger
Roland Steinbauer
James Vickers
Milena Stojković
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PDF
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Optimal Regularization Processes on Complete Riemannian Manifolds
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2013
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Shantanu Dave
Günther Hörmann
Michael Kunzinger
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The exponential map of a $C^{1,1}$-metric
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2013
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Michael Kunzinger
Roland Steinbauer
Milena Stojković
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+
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Symplectic modules over Colombeau-generalized numbers
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2012
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Sanja Konjik
Guenther Hoermann
Michael Kunzinger
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+
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New topologies on Colombeau generalized numbers and the Fermat–Reyes theorem
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2012
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Paolo Giordano
Michael Kunzinger
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PDF
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Topological and algebraic structures on the ring of Fermat reals
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2012
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Paolo Giordano
Michael Kunzinger
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New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem
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2012
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Paolo Giordano
Michael Kunzinger
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PDF
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Algebras of generalized functions with smooth parameter dependence
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2012
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Annegret Burtscher
Michael Kunzinger
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PDF
Chat
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Geometric Regularization on Riemannian and Lorentzian Manifolds
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2012
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Shantanu Dave
Günther Hörmann
Michael Kunzinger
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PDF
Chat
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Wave Equations on Non-smooth Space-times
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2012
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Günther Hörmann
Michael Kunzinger
Roland Steinbauer
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+
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New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem
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2012
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Paolo Robuffo Giordano
Michael Kunzinger
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+
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Symplectic modules over Colombeau-generalized numbers
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2012
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Sanja Konjik
Guenther Hoermann
Michael Kunzinger
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+
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Singularity structures for noncommutative spaces
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2011
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Shantanu Dave
Michael Kunzinger
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+
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Topological and algebraic structures on the ring of Fermat reals
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2011
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Paolo Giordano
Michael Kunzinger
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Manifold-valued generalized functions in full Colombeau spaces
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2011
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Michael Kunzinger
Eduard A. Nigsch
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PDF
Chat
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Generalized conditional symmetries of evolution equations
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2011
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Michael Kunzinger
Roman O. Popovych
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+
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Manifold-valued generalized functions in full Colombeau spaces
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2011
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Michael Kunzinger
Eduard A. Nigsch
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+
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Manifold-valued generalized functions in full Colombeau spaces
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2011
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Michael Kunzinger
Eduard A. Nigsch
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+
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Topological and algebraic structures on the ring of Fermat reals
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2011
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Paolo Robuffo Giordano
Michael Kunzinger
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+
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Geometric regularization on Riemannian and Lorentzian manifolds
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2011
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Shantanu Dave
Guenther Hoermann
Michael Kunzinger
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+
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Singularity structures for noncommutative spaces
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2011
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Shantanu Dave
Michael Kunzinger
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Wave equations on non-smooth space-times
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2011
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Guenther Hoermann
Michael Kunzinger
Roland Steinbauer
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+
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Optimal regularization processes on complete Riemannian manifolds
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2010
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Shantanu Dave
Guenther Hoermann
Michael Kunzinger
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+
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Recent progress in special Colombeau algebras: geometry, topology, and algebra
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2010
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Michael Kunzinger
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Optimal regularization processes on complete Riemannian manifolds
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2010
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Shantanu Dave
Guenther Hoermann
Michael Kunzinger
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PDF
Chat
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Sheaves of nonlinear generalized functions and manifold-valued distributions
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2009
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Michael Kunzinger
Roland Steinbauer
James Vickers
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Is a nonclassical symmetry a symmetry?
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2009
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Michael Kunzinger
Roman O. Popovych
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A global theory of algebras of generalized functions II: tensor distributions
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2009
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Michael Grosser
Michael Kunzinger
Roland Steinbauer
James Vickers
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PDF
Chat
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Singular reduction operators in two dimensions
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2008
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Michael Kunzinger
Roman O. Popovych
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PDF
Chat
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Admissible Transformations and Normalized Classes of Nonlinear Schrödinger Equations
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2008
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Roman O. Popovych
Michael Kunzinger
Homayoon Eshraghi
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PDF
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Potential conservation laws
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2008
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Michael Kunzinger
Roman O. Popovych
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Foundations of the Calculus of Variations in Generalized Function Algebras
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2008
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Sanja Konjik
Michael Kunzinger
Michael Oberguggenberger
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Essential Characteristics of Potential Conservation Laws
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2008
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Michael Kunzinger
Roman O. Popovych
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PDF
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Conservation Laws and Potential Symmetries of Linear Parabolic Equations
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2007
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Roman O. Popovych
Michael Kunzinger
Nataliya M. Ivanova
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Generalized solutions of the Vlasov–Poisson system with singular data
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2007
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Irina Kmit
Michael Kunzinger
Roland Steinbauer
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Recent Progress in Special Colombeau Algebras: Geometry, Topology, and Algebra
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2007
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Michael Kunzinger
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Foundations of the calculus of variations in generalized function algebras
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2007
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Sanja Konjik
Michael Kunzinger
Michael Oberguggenberger
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Admissible Transformations of Nonlinear Schroedinger Equations
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2006
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Roman O. Popovych
Michael Kunzinger
Homayoon Eshraghi
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+
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Sheaves of nonlinear generalized functions and manifold-valued distributions
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2006
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Michael Kunzinger
Roland Steinbauer
James Vickers
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PDF
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Global Gronwall Estimates for Integral Curves on Riemannian Manifolds
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2006
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Michael Kunzinger
Hermann Schichl
Roland Steinbauer
James Vickers
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PDF
Chat
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Group invariants in algebras of generalized functions
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2006
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Sanja Konjik
Michael Kunzinger
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Generalized solutions of the Vlasov-Poisson system with singular data
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2006
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Irina Kmit
Michael Kunzinger
Roland Steinbauer
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+
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Sheaves of nonlinear generalized functions and manifold-valued distributions
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2006
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Michael Kunzinger
Roland Steinbauer
James Vickers
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+
PDF
Chat
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Generalised connections and curvature
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2005
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Michael Kunzinger
Roland Steinbauer
James Vickers
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+
PDF
Chat
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Generalized group actions in a global setting
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2005
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Sanja Konjik
Michael Kunzinger
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Group invariants in algebras of generalized functions
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2005
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Sanja Konjik
Michael Kunzinger
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+
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Generalized Group Actions in a Global Setting
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2005
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Sanja Konjik
Michael Kunzinger
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+
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Nonsmooth differential geometry and algebras of generalized functions
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2004
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Michael Kunzinger
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On Classical Solutions of the Relativistic Vlasov-Klein-Gordon System
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2004
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Michael Kunzinger
Gerhard Rein
Roland Steinbauer
Gerald Teschl
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PDF
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Generalized Flows and Singular ODEs on Differentiable Manifolds
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2004
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Michael Kunzinger
Michael Oberguggenberger
Roland Steinbauer
James Vickers
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On Classical Solutions of the Relativistic Vlasov-Klein-Gordon System
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2004
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Michael Kunzinger
Gerhard Rein
Roland Steinbauer
Gerald Teschl
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+
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Global Gronwall Estimates for Integral Curves on Riemannian Manifolds
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2004
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Michael Kunzinger
Hermann Schichl
Roland Steinbauer
James Vickers
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PDF
Chat
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Intrinsic Characterization of Manifold-Valued Generalized Functions
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2003
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Michael Kunzinger
Roland Steinbauer
James Vickers
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PDF
Chat
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Global Weak Solutions of the Relativistic Vlasov-Klein-Gordon System
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2003
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Michael Kunzinger
Gerhard Rein
Roland Steinbauer
Gerald Teschl
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Generalized flows and singular ODEs on differentiable manifolds
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2003
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Michael Kunzinger
Michael Oberguggenberger
Roland Steinbauer
James Vickers
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+
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Non-smooth differential geometry and algebras of generalized functions
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2003
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Michael Kunzinger
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PDF
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Generalized Functions Valued in a Smooth Manifold
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2002
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Michael Kunzinger
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GENERALISED PSEUDO-RIEMANNIAN GEOMETRY FOR GENERAL RELATIVITY
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2002
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Roland Steinbauer
Michael Kunzinger
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+
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Generalized pseudo-Riemannian geometry
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2002
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Michael Kunzinger
Roland Steinbauer
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PDF
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SYMMETRY GROUP ANALYSIS OF WEAK SOLUTIONS
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2002
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N. Dapić
Michael Kunzinger
Stevan Pilipović
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+
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A Global Theory of Algebras of Generalized Functions
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2002
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Michael Grosser
Michael Kunzinger
Roland Steinbauer
James Vickers
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+
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Intrinsic characterization of manifold-valued generalized functions
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2002
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Michael Kunzinger
Roland Steinbauer
James Vickers
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+
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None
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2002
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Michael Kunzinger
Roland Steinbauer
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+
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Microlocal Properties of Basic Operations in Colombeau Algebras
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2001
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Günther Hörmann
Michael Kunzinger
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Diffeomorphism invariant Colombeau algebras. Part III: Global theory
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2001
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Michael Kunzinger
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Foundations of a nonlinear distributional geometry
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2001
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Michael Kunzinger
Roland Steinbauer
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On the foundations of nonlinear generalized functions I and II
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2001
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Michael Grosser
Éva Farkas
Michael Kunzinger
Roland Steinbauer
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+
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Generalized Functions on Manifolds
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2001
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Michael Grosser
Michael Kunzinger
Michael Oberguggenberger
Roland Steinbauer
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+
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Diffeomorphism Invariant Colombeau Theory
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2001
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Michael Grosser
Michael Kunzinger
Michael Oberguggenberger
Roland Steinbauer
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+
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Generalized functions valued in a smooth manifold
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2001
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Michael Kunzinger
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Generalized pseudo-Riemannian geometry
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2001
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Michael Kunzinger
Roland Steinbauer
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+
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Symmetry group analysis of weak solutions
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2001
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N. Dapić
Michael Kunzinger
Stevan Pilipović
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+
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Geometric Theory of Generalized Functions with Applications to General Relativity
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2001
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Michael Grosser
Michael Kunzinger
Michael Oberguggenberger
Roland Steinbauer
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+
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Applications to Lie Group Analysis of Differential Equations
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2001
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Michael Grosser
Michael Kunzinger
Michael Oberguggenberger
Roland Steinbauer
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+
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Colombeau’s Theory of Generalized Functions
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2001
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Michael Grosser
Michael Kunzinger
Michael Oberguggenberger
Roland Steinbauer
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+
PDF
Chat
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Regularized Derivatives in a 2-Dimensional Model of Self-Interacting Fields with Singular Data
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2000
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Günther Hörmann
Michael Kunzinger
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+
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Diffeomorphism invariant construction of nonlinear generalised functions
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2000
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Michael Grosser
Michael Kunzinger
Roland Steinbauer
Helmuth K. Urbantke
James Vickers
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+
PDF
Chat
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Group Analysis of Differential Equations and Generalized Functions
|
2000
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Michael Kunzinger
Michael Oberguggenberger
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+
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Microlocal properties of basic operations in Colombeau algebras
|
2000
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Guenther Hoermann
Michael Kunzinger
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+
PDF
Chat
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A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves
|
1999
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Michael Kunzinger
Roland Steinbauer
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+
PDF
Chat
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A note on the Penrose junction conditions
|
1999
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Michael Kunzinger
Roland Steinbauer
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+
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Characterization of colombeau generalized functions by their pointvalues
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1999
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Michael Oberguggenberger
Michael Kunzinger
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+
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On the foundations of nonlinear generalized functions I
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1999
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Éva Farkas
Michael Grosser
Michael Kunzinger
Roland Steinbauer
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+
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Regularized derivatives in a 2-dimensional model of self-interacting fields with singular data
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1999
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Guenther Hoermann
Michael Kunzinger
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+
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Group analysis of differential equations and generalized functions
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1999
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Michael Kunzinger
Michael Oberguggenberger
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+
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A global theory of algebras of generalized functions
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1999
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Michael Grosser
Michael Kunzinger
Roland Steinbauer
James Vickers
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+
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Nonlinearity and self-interaction in physical field theories with singularities
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1998
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Günther Hörmann
Michael Kunzinger
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+
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Barrelledness, Baire-Like- And (LF)-Spaces
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1994
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Michael Kunzinger
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