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Author ID: donninger.roland Recent zbMATH articles by "Donninger, Roland"
Published as: Donninger, Roland; Donninger, R.
External Links: MGP
Documents Indexed: 42 Publications since 2008, including 1 Book
Co-Authors: 22 Co-Authors with 35 Joint Publications
354 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 387 times in 181 Documents Cited by Year
On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
43
2012
Stable blow up dynamics for energy supercritical wave equations. Zbl 1286.35049
Donninger, Roland; Schörkhuber, Birgit
34
2014
Nonscattering solutions and blowup at infinity for the critical wave equation. Zbl 1280.35135
Donninger, Roland; Krieger, Joachim
33
2013
Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044
Donninger, Roland; Schörkhuber, Birgit
32
2012
A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
29
2011
On stable self-similar blowup for equivariant wave maps. Zbl 1232.58021
Donninger, Roland
23
2011
On blowup in supercritical wave equations. Zbl 1361.35112
Donninger, Roland; Schörkhuber, Birgit
18
2016
Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\). Zbl 1310.35170
Donninger, Roland; Huang, Min; Krieger, Joachim; Schlag, Wilhelm
15
2014
Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. Zbl 1378.35050
Donninger, Roland
15
2017
On stable self-similar blow up for equivariant wave maps: the linearized problem. Zbl 1245.58014
Donninger, Roland; Schörkhuber, Birgit; Aichelburg, Peter C.
14
2012
Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan
11
2017
A proof for the mode stability of a self-similar wave map. Zbl 1353.35209
Costin, O.; Donninger, R.; Xia, X.
10
2016
Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space. Zbl 1353.35052
Donninger, Roland; Krieger, Joachim; Szeftel, Jérémie; Wong, Willie
10
2016
Stable blowup for wave equations in odd space dimensions. Zbl 1395.35041
Donninger, Roland; Schörkhuber, Birgit
9
2017
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
9
2011
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
9
2010
Stable self-similar blowup in energy supercritical Yang-Mills theory. Zbl 1315.35042
Donninger, Roland
9
2014
On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min
7
2016
Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow. Zbl 1395.58018
Biernat, Pawel; Donninger, Roland
5
2018
Nondispersive decay for the cubic wave equation. Zbl 1295.35084
Donninger, Roland; Zenginoğlu, Anil
5
2014
Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038
Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh
5
2012
Nonlinear stability of self-similar solutions for semilinear wave equations. Zbl 1201.35141
Donninger, Roland
4
2010
A vector field method on the distorted Fourier side and decay for wave equations with potentials. Zbl 1391.35253
Donninger, Roland; Krieger, Joachim
4
2016
A note on the eigenvalues for equivariant maps of the SU(2) sigma-model. Zbl 1213.35167
Donninger, Roland; Aichelburg, Peter C.
4
2010
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
3
2017
Blowup stability at optimal regularity for the critical wave equation. Zbl 1441.35070
Donninger, Roland; Rao, Ziping
3
2020
Asymptotics and analytic modes for the wave equation in similarity coordinates. Zbl 1239.35087
Donninger, Roland
3
2009
On the mode stability of a self-similar wave map. Zbl 1152.81407
Donninger, Roland; Aichelburg, Peter C.
3
2008
Spectral properties and linear stability of self-similar wave maps. Zbl 1183.35074
Donninger, Roland; Aichelburg, Peter C.
3
2009
Stable blowup for the cubic wave equation in higher dimensions. Zbl 1415.35200
Chatzikaleas, Athanasios; Donninger, Roland
3
2019
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). Zbl 1321.47096
Donninger, Roland; Schörkhuber, Birgit
3
2015
Stable blowup for the supercritical Yang-Mills heat flow. Zbl 1428.58012
Donninger, Roland; Schörkhuber, Birgit
2
2019
The radial wave operator in similarity coordinates. Zbl 1309.81069
Donninger, Roland
2
2010
On blowup of co-rotational wave maps in odd space dimensions. Zbl 1391.35074
Chatzikaleas, Athanasios; Donninger, Roland; Glogić, Irfan
2
2017
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
1
2019
Stable self-similar blowup in the supercritical heat flow of harmonic maps. Zbl 1381.58006
Biernat, Paweł; Donninger, Roland; Schörkhuber, Birgit
1
2017
Hyperboloidal evolution and global dynamics for the focusing cubic wave equation. Zbl 1373.35197
Burtscher, Annegret Y.; Donninger, Roland
1
2017
Blowup stability at optimal regularity for the critical wave equation. Zbl 1441.35070
Donninger, Roland; Rao, Ziping
3
2020
Stable blowup for the cubic wave equation in higher dimensions. Zbl 1415.35200
Chatzikaleas, Athanasios; Donninger, Roland
3
2019
Stable blowup for the supercritical Yang-Mills heat flow. Zbl 1428.58012
Donninger, Roland; Schörkhuber, Birgit
2
2019
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
1
2019
Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow. Zbl 1395.58018
Biernat, Pawel; Donninger, Roland
5
2018
Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. Zbl 1378.35050
Donninger, Roland
15
2017
Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan
11
2017
Stable blowup for wave equations in odd space dimensions. Zbl 1395.35041
Donninger, Roland; Schörkhuber, Birgit
9
2017
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
3
2017
On blowup of co-rotational wave maps in odd space dimensions. Zbl 1391.35074
Chatzikaleas, Athanasios; Donninger, Roland; Glogić, Irfan
2
2017
Stable self-similar blowup in the supercritical heat flow of harmonic maps. Zbl 1381.58006
Biernat, Paweł; Donninger, Roland; Schörkhuber, Birgit
1
2017
Hyperboloidal evolution and global dynamics for the focusing cubic wave equation. Zbl 1373.35197
Burtscher, Annegret Y.; Donninger, Roland
1
2017
On blowup in supercritical wave equations. Zbl 1361.35112
Donninger, Roland; Schörkhuber, Birgit
18
2016
A proof for the mode stability of a self-similar wave map. Zbl 1353.35209
Costin, O.; Donninger, R.; Xia, X.
10
2016
Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space. Zbl 1353.35052
Donninger, Roland; Krieger, Joachim; Szeftel, Jérémie; Wong, Willie
10
2016
On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min
7
2016
A vector field method on the distorted Fourier side and decay for wave equations with potentials. Zbl 1391.35253
Donninger, Roland; Krieger, Joachim
4
2016
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). Zbl 1321.47096
Donninger, Roland; Schörkhuber, Birgit
3
2015
Stable blow up dynamics for energy supercritical wave equations. Zbl 1286.35049
Donninger, Roland; Schörkhuber, Birgit
34
2014
Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\). Zbl 1310.35170
Donninger, Roland; Huang, Min; Krieger, Joachim; Schlag, Wilhelm
15
2014
Stable self-similar blowup in energy supercritical Yang-Mills theory. Zbl 1315.35042
Donninger, Roland
9
2014
Nondispersive decay for the cubic wave equation. Zbl 1295.35084
Donninger, Roland; Zenginoğlu, Anil
5
2014
Nonscattering solutions and blowup at infinity for the critical wave equation. Zbl 1280.35135
Donninger, Roland; Krieger, Joachim
33
2013
On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
43
2012
Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044
Donninger, Roland; Schörkhuber, Birgit
32
2012
On stable self-similar blow up for equivariant wave maps: the linearized problem. Zbl 1245.58014
Donninger, Roland; Schörkhuber, Birgit; Aichelburg, Peter C.
14
2012
Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038
Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh
5
2012
A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Zbl 1205.83041
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
29
2011
On stable self-similar blowup for equivariant wave maps. Zbl 1232.58021
Donninger, Roland
23
2011
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
9
2011
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
9
2010
Nonlinear stability of self-similar solutions for semilinear wave equations. Zbl 1201.35141
Donninger, Roland
4
2010
A note on the eigenvalues for equivariant maps of the SU(2) sigma-model. Zbl 1213.35167
Donninger, Roland; Aichelburg, Peter C.
4
2010
The radial wave operator in similarity coordinates. Zbl 1309.81069
Donninger, Roland
2
2010
Asymptotics and analytic modes for the wave equation in similarity coordinates. Zbl 1239.35087
Donninger, Roland
3
2009
Spectral properties and linear stability of self-similar wave maps. Zbl 1183.35074
Donninger, Roland; Aichelburg, Peter C.
3
2009
On the mode stability of a self-similar wave map. Zbl 1152.81407
Donninger, Roland; Aichelburg, Peter C.
3
2008
all top 5

Cited by 184 Authors

28 Donninger, Roland
12 Krieger, Joachim
9 Merle, Frank
9 Schlag, Wilhelm
9 Schörkhuber, Birgit
8 Duyckaerts, Thomas
8 Glogić, Irfan
7 Aretakis, Stefanos
6 Gajic, Dejan
6 Hamza, Mohamed Ali
6 Martel, Yvan
6 Raphael, Pierre
6 Zaag, Hatem
5 Angelopoulos, Yannis
5 Tohaneanu, Mihai
4 Biernat, Paweł
4 Bizoń, Piotr
4 Collot, Charles
4 Costin, Ovidiu
4 Soffer, Avraham
4 Wong, Willie Wai-Yeung
4 Yan, Weiping
3 Dyatlov, Semyon
3 Hintz, Peter
3 Huang, Min
3 Kenig, Carlos Eduardo
3 Lawrie, Andrew G. W.
3 Maliborski, Maciej
3 Oh, Sung-Jin
3 Szeftel, Jérémie
3 Tataru, Daniel
3 Vasy, András
2 Andersson, Lars Åke
2 Blue, Pieter
2 Cazenave, Thierry
2 Chatzikaleas, Athanasios
2 de Laire, André
2 Del Pino, Manuel A.
2 Gavrilov, Serge N.
2 Ghoul, Tej-Eddine
2 Holzegel, Gustav
2 Jendrej, Jacek
2 Komech, Alexander Ilich
2 Lindblad, Hans
2 Luk, Jonathan
2 Metcalfe, Jason L.
2 Miyazawa, Toru
2 Musso, Monica
2 Nakanishi, Kenji
2 Nguyen, Van Tien
2 Perelman, Galina
2 Rodnianski, Igor
2 Saidi, Olfa
2 Shahshahani, Sohrab
2 Shishkina, Ekaterina V.
2 Speck, Jared
2 Tanveer, Saleh
2 Wei, Juncheng
2 Zhao, Lifeng
1 Abbrescia, Leonardo Enrique
1 Aichelburg, Peter C.
1 Akhmetkaliyeva, Raya Duisenbekovna
1 Alejo, Miguel A.
1 Alexakis, Spyros
1 Azaiez, Asma
1 Bahouri, Hajer
1 Balogh, Andras
1 Banda, Jacob
1 Barker, Blake
1 Baskin, Dean
1 Bogachev, Vladimir Igorevich
1 Bringmann, Björn
1 Brzeźniak, Zdzisław
1 Burtscher, Annegret Y.
1 Burzio, Stefano
1 Chesler, Paul M.
1 Chiodaroli, Elisabetta
1 Chmaj, Tadeusz
1 Chowdhury, Atiqur
1 Chruściel, Piotr Tadeusz
1 Costin, Rodica D.
1 Côte, Raphaël
1 Dafermos, Mihalis
1 Dai, Wei
1 David, Marina
1 Dodson, Benjamin G.
1 Esquivel-Avila, Jorge Alfredo
1 Fornaro, Simona
1 Fournodavlos, Grigorios
1 Galloway, Gregory J.
1 Gao, Can
1 Georgescu, Vladimir
1 Germain, Pierre
1 Getmanenko, Alexander
1 Goldys, Beniamin
1 Guillarmou, Colin
1 Gundlach, Carsten
1 Gutiérrez, Susana
1 Hadzic, Mahir
1 Häfner, Dietrich
...and 84 more Authors
all top 5

Cited in 67 Serials

17 Communications in Mathematical Physics
11 Journal of Differential Equations
10 Annales Henri Poincaré
9 Transactions of the American Mathematical Society
8 Advances in Mathematics
6 Journal of Mathematical Physics
6 Analysis & PDE
5 Nonlinearity
5 Journal of Functional Analysis
4 Inventiones Mathematicae
4 Mathematische Annalen
4 Memoirs of the American Mathematical Society
4 Communications in Partial Differential Equations
4 Calculus of Variations and Partial Differential Equations
4 Journal of Evolution Equations
4 Annals of PDE
4 Séminaire Laurent Schwartz. EDP et Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Annals of Mathematics. Second Series
3 Journal of Hyperbolic Differential Equations
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 Russian Mathematical Surveys
2 Duke Mathematical Journal
2 Nonlinear Dynamics
2 Mathematical Physics, Analysis and Geometry
2 Journal of the European Mathematical Society (JEMS)
2 Communications on Pure and Applied Analysis
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Classical and Quantum Gravity
1 General Relativity and Gravitation
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Geometry
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 St. Petersburg Mathematical Journal
1 Discrete and Continuous Dynamical Systems
1 Communications in Nonlinear Science and Numerical Simulation
1 Living Reviews in Relativity
1 Advanced Nonlinear Studies
1 SIAM Journal on Applied Dynamical Systems
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Eurasian Mathematical Journal
1 S\(\vec{\text{e}}\)MA Journal
1 Forum of Mathematics, Pi
1 Electronic Research Archive

Citations by Year