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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: 48 Publications since 2007, including 1 Book and 3 Additional arXiv Preprints
Co-Authors: 26 Co-Authors with 39 Joint Publications
451 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 514 times in 227 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
54
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
45
2011
Stable blow up dynamics for energy supercritical wave equations. Zbl 1286.35049
Donninger, Roland; Schörkhuber, Birgit
41
2014
Nonscattering solutions and blowup at infinity for the critical wave equation. Zbl 1280.35135
Donninger, Roland; Krieger, Joachim
38
2013
Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044
Donninger, Roland; Schörkhuber, Birgit
35
2012
On stable self-similar blowup for equivariant wave maps. Zbl 1232.58021
Donninger, Roland
30
2011
On blowup in supercritical wave equations. Zbl 1361.35112
Donninger, Roland; Schörkhuber, Birgit
25
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
21
2014
Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. Zbl 1378.35050
Donninger, Roland
20
2017
Stable blowup for wave equations in odd space dimensions. Zbl 1395.35041
Donninger, Roland; Schörkhuber, Birgit
18
2017
On stable self-similar blow up for equivariant wave maps: the linearized problem. Zbl 1245.58014
Donninger, Roland; Schörkhuber, Birgit; Aichelburg, Peter C.
17
2012
Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan
16
2017
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
14
2016
A proof for the mode stability of a self-similar wave map. Zbl 1353.35209
Costin, O.; Donninger, R.; Xia, X.
12
2016
On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min
12
2016
Stable self-similar blowup in energy supercritical Yang-Mills theory. Zbl 1315.35042
Donninger, Roland
11
2014
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
10
2011
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
10
2010
A vector field method on the distorted Fourier side and decay for wave equations with potentials. Zbl 1391.35253
Donninger, Roland; Krieger, Joachim
7
2016
Nondispersive decay for the cubic wave equation. Zbl 1295.35084
Donninger, Roland; Zenginoğlu, Anil
6
2014
Stable blowup for the supercritical Yang-Mills heat flow. Zbl 1428.58012
Donninger, Roland; Schörkhuber, Birgit
6
2019
Blowup stability at optimal regularity for the critical wave equation. Zbl 1441.35070
Donninger, Roland; Rao, Ziping
6
2020
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
On blowup of co-rotational wave maps in odd space dimensions. Zbl 1391.35074
Chatzikaleas, Athanasios; Donninger, Roland; Glogić, Irfan
5
2017
Stable blowup for the cubic wave equation in higher dimensions. Zbl 1415.35200
Chatzikaleas, Athanasios; Donninger, Roland
5
2019
A note on the eigenvalues for equivariant maps of the SU(2) sigma-model. Zbl 1213.35167
Donninger, Roland; Aichelburg, Peter C.
5
2010
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
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). Zbl 1321.47096
Donninger, Roland; Schörkhuber, Birgit
4
2015
Nonlinear stability of self-similar solutions for semilinear wave equations. Zbl 1201.35141
Donninger, Roland
4
2010
Hyperboloidal similarity coordinates and a globally stable blowup profile for supercritical wave maps. Zbl 1481.35046
Biernat, Paweł; Donninger, Roland; Schörkhuber, Birgit
4
2021
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
4
2017
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
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
3
2019
The radial wave operator in similarity coordinates. Zbl 1309.81069
Donninger, Roland
2
2010
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 behavior for strongly perturbed wave equations. Zbl 1465.35071
Donninger, Roland; Wallauch, David
1
2021
A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory. Zbl 1526.35084
Donninger, Roland; Ostermann, Matthias
1
2023
Strichartz estimates for the one-dimensional wave equation. Zbl 1440.35019
Donninger, Roland; Glogić, Irfan
1
2020
A globally stable self-similar blowup profile in energy supercritical Yang-Mills theory. Zbl 1526.35084
Donninger, Roland; Ostermann, Matthias
1
2023
Hyperboloidal similarity coordinates and a globally stable blowup profile for supercritical wave maps. Zbl 1481.35046
Biernat, Paweł; Donninger, Roland; Schörkhuber, Birgit
4
2021
Blowup behavior for strongly perturbed wave equations. Zbl 1465.35071
Donninger, Roland; Wallauch, David
1
2021
Blowup stability at optimal regularity for the critical wave equation. Zbl 1441.35070
Donninger, Roland; Rao, Ziping
6
2020
Strichartz estimates for the one-dimensional wave equation. Zbl 1440.35019
Donninger, Roland; Glogić, Irfan
1
2020
Stable blowup for the supercritical Yang-Mills heat flow. Zbl 1428.58012
Donninger, Roland; Schörkhuber, Birgit
6
2019
Stable blowup for the cubic wave equation in higher dimensions. Zbl 1415.35200
Chatzikaleas, Athanasios; Donninger, Roland
5
2019
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
3
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
20
2017
Stable blowup for wave equations in odd space dimensions. Zbl 1395.35041
Donninger, Roland; Schörkhuber, Birgit
18
2017
Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan
16
2017
On blowup of co-rotational wave maps in odd space dimensions. Zbl 1391.35074
Chatzikaleas, Athanasios; Donninger, Roland; Glogić, Irfan
5
2017
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
4
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
25
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
14
2016
A proof for the mode stability of a self-similar wave map. Zbl 1353.35209
Costin, O.; Donninger, R.; Xia, X.
12
2016
On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min
12
2016
A vector field method on the distorted Fourier side and decay for wave equations with potentials. Zbl 1391.35253
Donninger, Roland; Krieger, Joachim
7
2016
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). Zbl 1321.47096
Donninger, Roland; Schörkhuber, Birgit
4
2015
Stable blow up dynamics for energy supercritical wave equations. Zbl 1286.35049
Donninger, Roland; Schörkhuber, Birgit
41
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
21
2014
Stable self-similar blowup in energy supercritical Yang-Mills theory. Zbl 1315.35042
Donninger, Roland
11
2014
Nondispersive decay for the cubic wave equation. Zbl 1295.35084
Donninger, Roland; Zenginoğlu, Anil
6
2014
Nonscattering solutions and blowup at infinity for the critical wave equation. Zbl 1280.35135
Donninger, Roland; Krieger, Joachim
38
2013
On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
54
2012
Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044
Donninger, Roland; Schörkhuber, Birgit
35
2012
On stable self-similar blow up for equivariant wave maps: the linearized problem. Zbl 1245.58014
Donninger, Roland; Schörkhuber, Birgit; Aichelburg, Peter C.
17
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
45
2011
On stable self-similar blowup for equivariant wave maps. Zbl 1232.58021
Donninger, Roland
30
2011
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
10
2011
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
10
2010
A note on the eigenvalues for equivariant maps of the SU(2) sigma-model. Zbl 1213.35167
Donninger, Roland; Aichelburg, Peter C.
5
2010
Nonlinear stability of self-similar solutions for semilinear wave equations. Zbl 1201.35141
Donninger, Roland
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 224 Authors

31 Donninger, Roland
14 Krieger, Joachim
12 Glogić, Irfan
12 Schörkhuber, Birgit
9 Aretakis, Stefanos
9 Gajic, Dejan
9 Merle, Frank
9 Schlag, Wilhelm
8 Duyckaerts, Thomas
8 Zaag, Hatem
7 Angelopoulos, Yannis
7 Raphael, Pierre
6 Martel, Yvan
6 Tataru, Daniel
5 Hamza, Mohamed Ali
5 Hintz, Peter
5 Lawrie, Andrew G. W.
5 Ma, Siyuan
5 Tohaneanu, Mihai
5 Yan, Weiping
4 Biernat, Paweł
4 Bizoń, Piotr
4 Collot, Charles
4 Costin, Ovidiu
4 Kenig, Carlos Eduardo
4 Soffer, Avraham
4 Wong, Willie Wai-Yeung
4 Zhang, Lin
3 Dyatlov, Semyon
3 Ghoul, Tej-Eddine
3 Huang, Min
3 Jendrej, Jacek
3 Kim, Kihyun
3 Maliborski, Maciej
3 Oh, Sung-Jin
3 Pillai, Mohandas
3 Szeftel, Jérémie
3 Vasy, András
3 Wallauch, David
3 Zhao, Lifeng
2 Alejo, Miguel A.
2 Andersson, Lars Åke
2 Blue, Pieter
2 Burzio, Stefano
2 Cazenave, Thierry
2 Chatzikaleas, Athanasios
2 de Laire, André
2 Del Pino, Manuel A.
2 Dodson, Benjamin G.
2 Gavrilov, Serge N.
2 Germain, Pierre
2 Holzegel, Gustav
2 Komech, Alexander Ilich
2 Kwon, Soonsik
2 Lindblad, Hans
2 Luk, Jonathan
2 Metcalfe, Jason L.
2 Miyazawa, Toru
2 Murphy, Jason
2 Musso, Monica
2 Nakanishi, Kenji
2 Nguyen, Van Tien
2 Perelman, Galina
2 Pusateri, Fabio
2 Rodnianski, Igor
2 Saidi, Olfa
2 Shahshahani, Sohrab
2 Shishkina, Ekaterina V.
2 Speck, Jared
2 Tanveer, Saleh
2 Wei, Juncheng
1 Abbrescia, Leonardo Enrique
1 Ai, Albert
1 Aichelburg, Peter C.
1 Akhmetkaliyeva, Raya Duisenbekovna
1 Alexakis, Spyros
1 Auzinger, Winfried
1 Azaiez, Asma
1 Bahouri, Hajer
1 Balogh, Andras
1 Banda, Jacob
1 Barker, Blake
1 Baskin, Dean
1 Bogachev, Vladimir Igorevich
1 Březinová, Iva
1 Bringmann, Björn
1 Brzeźniak, Zdzisław
1 Bulut, Aynur
1 Burtscher, Annegret Y.
1 Çamliyurt, Güher
1 Chen, PoNing
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 Csobo, Elek
1 Dafermos, Mihalis
...and 124 more Authors
all top 5

Cited in 74 Serials

21 Communications in Mathematical Physics
14 Journal of Differential Equations
12 Annales Henri Poincaré
11 Advances in Mathematics
11 Transactions of the American Mathematical Society
8 Analysis & PDE
8 Annals of PDE
7 Journal of Mathematical Physics
7 Memoirs of the American Mathematical Society
6 Journal of Functional Analysis
5 Nonlinearity
5 Inventiones Mathematicae
5 Communications in Partial Differential Equations
5 Journal of Evolution Equations
4 Mathematische Annalen
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Calculus of Variations and Partial Differential Equations
4 Séminaire Laurent Schwartz. EDP et Applications
3 Archive for Rational Mechanics and Analysis
3 Duke Mathematical Journal
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 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Russian Mathematical Surveys
2 American Journal of Mathematics
2 Bulletin de la Société Mathématique de France
2 Proceedings of the American Mathematical Society
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 Oberwolfach Reports
2 Forum of Mathematics, Pi
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Classical and Quantum Gravity
1 Computer Physics Communications
1 General Relativity and Gravitation
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Geometry
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Quarterly of Applied Mathematics
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 Science China. Mathematics
1 Eurasian Mathematical Journal
1 S\(\vec{\text{e}}\)MA Journal
1 Electronic Research Archive
1 Probability and Mathematical Physics

Citations by Year