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University of Vienna: Wien, AT

Employment
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University of Vienna - u:cris

University of Vienna: Vienna, AT

2022-03-01 to present | Full Professor (Faculty of Mathematics)
Employment
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Roland Donninger

Education and qualifications (1)

University of Vienna: Wien, AT

Education
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University of Vienna - u:cris

Works (46)

SPECTRAL THEORY AND SELF-SIMILAR BLOWUP IN WAVE EQUATIONS

Bulletin of the American Mathematical Society
2024 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85206823430

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

Co-Dimension One Stable Blowup for the Quadratic Wave Equation Beyond the Light Cone

Communications in Mathematical Physics
2024-02 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85187179982

Contributors: Po Ning Chen; Roland Donninger; Irfan Glogić; Michael McNulty; Birgit Schörkhuber
Source: check_circle
University of Vienna - u:cris

A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory

Communications in Partial Differential Equations
2023 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85173743752

Contributors: Roland Donninger; Matthias Ostermann
Source: check_circle
University of Vienna - u:cris

Optimal blowup stability for supercritical wave maps

Advances in Mathematics
2023-11-15 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85171158416

Contributors: Roland Donninger; David Wallauch
Source: check_circle
University of Vienna - u:cris

Hyperboloidal Similarity Coordinates and a Globally Stable Blowup Profile for Supercritical Wave Maps

International Mathematics Research Notices
2021-11 | Journal article
SOURCE-WORK-ID:

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WOSUID:

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EID:

2-s2.0-85122183607

Contributors: Pawel Biernat; Roland Donninger; Birgit Schörkhuber
Source: check_circle
University of Vienna - u:cris

Blowup behavior for strongly perturbed wave equations

Journal of Differential Equations
2021-02-15 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000600845300008

EID:

2-s2.0-85096195133

Contributors: Roland Donninger; David Wallauch
Source: check_circle
University of Vienna - u:cris

Blowup stability at optimal regularity for the critical wave equation

Advances in Mathematics
2020-08-26 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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EID:

2-s2.0-85084986747

Contributors: Roland Donninger; Ziping Rao
Source: check_circle
University of Vienna - u:cris

Strichartz estimates for the one-dimensional wave equation

Transactions of the American Mathematical Society
2020-06 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000538391800010

EID:

2-s2.0-85086175693

Contributors: Roland Donninger; Irfan Glogic
Source: check_circle
University of Vienna - u:cris

Existence and stability of Schrödinger solitons on noncompact manifolds.

SIAM Journal on Mathematical Analysis
2019 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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Contributors: Roland Donninger; David Borthwick; Enno Lenzmann; Jeremy L. Marzuola
Source: check_circle
University of Vienna - u:cris

On the existence and stability of blowup for wave maps into a negatively curved target.

Analysis & PDE
2019 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000446595900004

EID:

2-s2.0-85057965529

Contributors: Roland Donninger; Irfan Glogic
Source: check_circle
University of Vienna - u:cris

Stable blowup for the cubic wave equation in higher dimensions

Journal of Differential Equations
2019-05-05 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85059936759

WOSUID:

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Contributors: Athanasios Chatzikaleas; Roland Donninger
Source: check_circle
University of Vienna - u:cris

Stable blowup for the supercritical yang-mills heat flow

Journal of Differential Geometry
2019-01-01 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85072624754

WOSUID:

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Contributors: Roland Donninger; Birgit Schörkhuber
Source: check_circle
University of Vienna - u:cris

Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow.

Nonlinearity
2018-06-27 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85051405336

WOSUID:

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Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

Linear stability of the Skyrmion

International Mathematics Research Notices
2017 | Journal article
SOURCE-WORK-ID:

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WOSUID:

000404042200010

EID:

2-s2.0-85024503926

Contributors: Matthew Creek; Roland Donninger; Wilhem Schlag; Stanley Snelson
Source: check_circle
University of Vienna - u:cris

On blowup of co- rotational wave maps in odd space dimensions

Journal of Differential Equations
2017 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000407665900021

Contributors: Athanasios Chatzikaleas; Roland Donninger; Irfan Glogic
Source: check_circle
University of Vienna - u:cris

Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation

Duke Mathematical Journal
2017 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000403529400002

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

Stable self-similar blowup in the supercritical heat flow of harmonic maps

Calculus of Variations and Partial Differential Equations
2017-11-04 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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EID:

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Contributors: Pawel Biernat; Roland Donninger; Birgit Schörkhuber
Source: check_circle
University of Vienna - u:cris

Stable blowup for wave equations in odd space dimensions

l'Institut Henri Poincare. Annales (C). Analyse Non Lineaire
2017-10-01 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-85006102691

WOSUID:

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Contributors: Roland Donninger; Birgit Schörkhuber
Source: check_circle
University of Vienna - u:cris

Hyperboloidal evolution and global dynamics for the focusing cubic wave equation

Communications in Mathematical Physics
2017-07 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000401340900003

EID:

2-s2.0-85018747244

Contributors: Annegret Burtscher; Roland Donninger
Source: check_circle
University of Vienna - u:cris

Mode stability of self-similar wave maps in higher dimensions

Communications in Mathematical Physics
2017-05 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000396845200003

EID:

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Contributors: Ovidiu Costin; Roland Donninger; Irfan Glogic
Source: check_circle
University of Vienna - u:cris

A vector field method on the distorted Fourier side and decay for wave equations with potentials

Memoirs of the American Mathematical Society
2016 | Journal issue or edition | Author
SOURCE-WORK-ID:

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WOSUID:

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Contributors: Roland Donninger; Joachim Krieger
Source: check_circle
University of Vienna - u:cris

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Duke Mathematical Journal
2016 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000371887700003

Contributors: Roland Donninger; Joachim Krieger; Jeremie Szeftel; Willie Wong
Source: check_circle
University of Vienna - u:cris

On Blowup in Supercritical Wave Equations

Communications in Mathematical Physics
2016-09 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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EID:

2-s2.0-84961832121

Contributors: Roland Donninger; Birgit Schörkhuber
Source: check_circle
University of Vienna - u:cris

A proof for the mode stability of a self-similar wave map

Nonlinearity
2016-07-04 | Journal article | Author
SOURCE-WORK-ID:

8dec935c-b35c-49c7-83af-4d2e627ca97b

EID:

2-s2.0-84979986062

WOSUID:

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Contributors: Ovidiu Costin; Roland Donninger; Xiaoyue Xia
Source: check_circle
University of Vienna - u:cris

On the stability of self-similar solutions to nonlinear wave equations

Communications in Mathematical Physics
2016-04 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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EID:

2-s2.0-84958780601

Contributors: Ovidiu Costin; Roland Donninger; Irfan Glogic; Min Huang
Source: check_circle
University of Vienna - u:cris

A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L 2(R d)

Journal of Functional Analysis
2015 | Journal article
SOURCE-WORK-ID:

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EID:

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WOSUID:

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Contributors: Roland Donninger; Birgit Schörkhuber
Source: check_circle
University of Vienna - u:cris

Erratum to

Journal of Evolution Equations
2015-03 | Other
SOURCE-WORK-ID:

5ccefbd1-6637-490b-88fe-1954f187c9ea

WOSUID:

000350342600012

EID:

2-s2.0-84925484688

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

Exotic Blowup Solutions for the u^5 Focusing Wave Equation in R^3

Michigan Mathematical Journal
2014 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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EID:

2-s2.0-84907045959

Contributors: Roland Donninger; Min Huang; Joachim Krieger; Wilhelm Schlag
Source: check_circle
University of Vienna - u:cris

NONDISPERSIVE DECAY FOR THE CUBIC WAVE EQUATION

Analysis & PDE
2014 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000338425400007

EID:

2-s2.0-84903150120

Contributors: Roland Donninger; Anil Zenginoglu
Source: check_circle
University of Vienna - u:cris

Stable self-similar blowup in energy supercritical Yang-Mills theory

Mathematische Zeitschrift
2014 | Journal article | Author
SOURCE-WORK-ID:

0058b741-a670-43f1-b146-4890655c41b0

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

STABLE BLOW UP DYNAMICS FOR ENERGY SUPERCRITICAL WAVE EQUATIONS

Transactions of the American Mathematical Society
2014-04 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000331471800018

Contributors: Roland Donninger; Birgit Schoerkhuber
Source: check_circle
University of Vienna - u:cris

Nonscattering solutions and blowup at infinity for the critical wave equation

Mathematische Annalen
2013-09 | Journal article | Author
SOURCE-WORK-ID:

55270822-fb18-49af-b0c4-4137d52de096

WOSUID:

000322723400006

Contributors: Roland Donninger; Joachim Krieger
Source: check_circle
University of Vienna - u:cris

On stable self-similar blow up for equivariant wave maps: The linearized problem

Annales Henri Poincare
2012 | Journal article
SOURCE-WORK-ID:

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EID:

2-s2.0-84856322610

Contributors: Roland Donninger; Birgit Schörkhuber; Peter Christian Aichelburg
Source: check_circle
University of Vienna - u:cris

Semiclassical Low Energy Scattering for One-Dimensional Schrodinger Operators with Exponentially Decaying Potentials

Annales Henri Poincare
2012-09 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000307305400002

Contributors: Ovidiu Costin; Roland Donninger; Wilhelm Schlag; Saleh Tanveer
Source: check_circle
University of Vienna - u:cris

Stable self-similar blow up for energy subcritical wave equations

Dynamics of Partial Differential Equations
2012-03 | Journal article | Author
SOURCE-WORK-ID:

e34e73aa-12e5-4fb7-9b5c-197fabfe0b9a

WOSUID:

000307668200003

Contributors: Roland Donninger; Birgit Schoerkhuber
Source: check_circle
University of Vienna - u:cris

On Pointwise Decay of Linear Waves on a Schwarzschild Black Hole Background

Communications in Mathematical Physics
2012-01 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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Contributors: Roland Donninger; Wilhelm Schlag; Avy Soffer
Source: check_circle
University of Vienna - u:cris

Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation

Nonlinearity
2011-09 | Journal article | Author
SOURCE-WORK-ID:

68ca479b-1ce5-42f8-854d-95c476076df8

WOSUID:

000295165400009

Contributors: Roland Donninger; W. Schlag
Source: check_circle
University of Vienna - u:cris

On Stable Self-Similar Blowup for Equivariant Wave Maps

Communications on Pure and Applied Mathematics
2011-08 | Journal article | Author
SOURCE-WORK-ID:

62dfbeb1-a3f9-4630-9b81-a588eaa48486

WOSUID:

000291049700003

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta

Advances in Mathematics
2011-01-15 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000283902900018

Contributors: Roland Donninger; Wilhelm Schlag; Avy Soffer
Source: check_circle
University of Vienna - u:cris

A note on the eigenvalues for equivariant maps of the SU(2) sigma-model

Applied Mathematical and Computational Science
2010 | Journal article | Author
SOURCE-WORK-ID:

f2d45c0c-69a4-4cc2-bb97-48b120ceed3c

Contributors: Roland Donninger; Peter C. Aichelburg
Source: check_circle
University of Vienna - u:cris

Decay Estimates for the One-dimensional Wave Equation with an Inverse Power Potential

International Mathematics Research Notices
2010 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

000284161500002

Contributors: Roland Donninger; Wilhelm Schlag
Source: check_circle
University of Vienna - u:cris

Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

Communications in Partial Differential Equations
2010 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-77950923516

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

The radial wave operator in similarity coordinates

Journal of Mathematical Physics
2010 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-77952267326

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

Asymptotics and analytic modes for the wave equation in similarity coordinates

Journal of Evolution Equations
2009 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-70349971069

Contributors: Roland Donninger
Source: check_circle
University of Vienna - u:cris

Spectral properties and linear stability of self-similar wave maps

Journal of Hyperbolic Differential Equations
2009 | Journal article | Author
SOURCE-WORK-ID:

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EID:

2-s2.0-67849092674

Contributors: Roland Donninger; Peter Christian Aichelburg
Source: check_circle
University of Vienna - u:cris

On the mode stability of a self-similar wave map

Journal of Mathematical Physics
2008-04 | Journal article | Author
SOURCE-WORK-ID:

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WOSUID:

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Contributors: Roland Donninger; Peter C. Aichelburg
Source: check_circle
University of Vienna - u:cris

Peer review (3 reviews for 2 publications/grants)

Review activity for Communications in Mathematical Physics. (2)
Review activity for Journal of functional analysis. (1)