## Donninger, Roland

Compute Distance To:
 Author ID: 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
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### Co-Authors

 7 single-authored 9 Schörkhuber, Birgit 7 Schlag, Wilhelm 5 Glogić, Irfan 4 Aichelburg, Peter C. 4 Costin, Ovidiu 4 Krieger, Joachim 3 Biernat, Paweł 2 Chatzikaleas, Athanasios 2 Huang, Min 2 Soffer, Avraham 1 Borthwick, David 1 Burtscher, Annegret Y. 1 Creek, Matthew 1 Lenzmann, Enno 1 Marzuola, Jeremy L. 1 Rao, Ziping 1 Snelson, Stanley 1 Szeftel, Jérémie 1 Tanveer, Saleh 1 Wallauch, David 1 Wong, Willie Wai-Yeung 1 Zenginoğlu, Anıl
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### Serials

 5 Communications in Mathematical Physics 3 Nonlinearity 3 Journal of Differential Equations 3 IMRN. International Mathematics Research Notices 2 Journal of Mathematical Physics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 2 Annales Henri Poincaré 2 Journal of Evolution Equations 2 Analysis & PDE 1 Communications on Pure and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Hyperbolic Differential Equations 1 Dynamics of Partial Differential Equations 1 Applied Mathematical and Computational Sciences
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### Fields

 38 Partial differential equations (35-XX) 11 Global analysis, analysis on manifolds (58-XX) 5 Operator theory (47-XX) 5 Quantum theory (81-XX) 5 Relativity and gravitational theory (83-XX) 4 Differential geometry (53-XX) 2 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX)

### 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
2012
Stable blow up dynamics for energy supercritical wave equations. Zbl 1286.35049
Donninger, Roland; Schörkhuber, Birgit
2014
Nonscattering solutions and blowup at infinity for the critical wave equation. Zbl 1280.35135
Donninger, Roland; Krieger, Joachim
2013
Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044
Donninger, Roland; Schörkhuber, Birgit
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
2011
On stable self-similar blowup for equivariant wave maps. Zbl 1232.58021
Donninger, Roland
2011
On blowup in supercritical wave equations. Zbl 1361.35112
Donninger, Roland; Schörkhuber, Birgit
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
2014
Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. Zbl 1378.35050
Donninger, Roland
2017
On stable self-similar blow up for equivariant wave maps: the linearized problem. Zbl 1245.58014
Donninger, Roland; Schörkhuber, Birgit; Aichelburg, Peter C.
2012
Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan
2017
A proof for the mode stability of a self-similar wave map. Zbl 1353.35209
Costin, O.; Donninger, R.; Xia, X.
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
2016
Stable blowup for wave equations in odd space dimensions. Zbl 1395.35041
Donninger, Roland; Schörkhuber, Birgit
2017
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
2011
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
2010
Stable self-similar blowup in energy supercritical Yang-Mills theory. Zbl 1315.35042
Donninger, Roland
2014
On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min
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
2018
Nondispersive decay for the cubic wave equation. Zbl 1295.35084
Donninger, Roland; Zenginoğlu, Anil
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
2012
Nonlinear stability of self-similar solutions for semilinear wave equations. Zbl 1201.35141
Donninger, Roland
2010
A vector field method on the distorted Fourier side and decay for wave equations with potentials. Zbl 1391.35253
Donninger, Roland; Krieger, Joachim
2016
A note on the eigenvalues for equivariant maps of the SU(2) sigma-model. Zbl 1213.35167
Donninger, Roland; Aichelburg, Peter C.
2010
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
2017
Blowup stability at optimal regularity for the critical wave equation. Zbl 1441.35070
Donninger, Roland; Rao, Ziping
2020
Asymptotics and analytic modes for the wave equation in similarity coordinates. Zbl 1239.35087
Donninger, Roland
2009
On the mode stability of a self-similar wave map. Zbl 1152.81407
Donninger, Roland; Aichelburg, Peter C.
2008
Spectral properties and linear stability of self-similar wave maps. Zbl 1183.35074
Donninger, Roland; Aichelburg, Peter C.
2009
Stable blowup for the cubic wave equation in higher dimensions. Zbl 1415.35200
Chatzikaleas, Athanasios; Donninger, Roland
2019
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on $$L^2(\mathbb{R}^d)$$. Zbl 1321.47096
Donninger, Roland; Schörkhuber, Birgit
2015
Stable blowup for the supercritical Yang-Mills heat flow. Zbl 1428.58012
Donninger, Roland; Schörkhuber, Birgit
2019
The radial wave operator in similarity coordinates. Zbl 1309.81069
Donninger, Roland
2010
On blowup of co-rotational wave maps in odd space dimensions. Zbl 1391.35074
Chatzikaleas, Athanasios; Donninger, Roland; Glogić, Irfan
2017
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
2019
Stable self-similar blowup in the supercritical heat flow of harmonic maps. Zbl 1381.58006
Biernat, Paweł; Donninger, Roland; Schörkhuber, Birgit
2017
Hyperboloidal evolution and global dynamics for the focusing cubic wave equation. Zbl 1373.35197
Burtscher, Annegret Y.; Donninger, Roland
2017
Blowup stability at optimal regularity for the critical wave equation. Zbl 1441.35070
Donninger, Roland; Rao, Ziping
2020
Stable blowup for the cubic wave equation in higher dimensions. Zbl 1415.35200
Chatzikaleas, Athanasios; Donninger, Roland
2019
Stable blowup for the supercritical Yang-Mills heat flow. Zbl 1428.58012
Donninger, Roland; Schörkhuber, Birgit
2019
On the existence and stability of blowup for wave maps into a negatively curved target. Zbl 1411.35204
Donninger, Roland; Glogić, Irfan
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
2018
Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. Zbl 1378.35050
Donninger, Roland
2017
Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan
2017
Stable blowup for wave equations in odd space dimensions. Zbl 1395.35041
Donninger, Roland; Schörkhuber, Birgit
2017
Linear stability of the Skyrmion. Zbl 1405.83018
Creek, Matthew; Donninger, Roland; Schlag, Wilhelm; Snelson, Stanley
2017
On blowup of co-rotational wave maps in odd space dimensions. Zbl 1391.35074
Chatzikaleas, Athanasios; Donninger, Roland; Glogić, Irfan
2017
Stable self-similar blowup in the supercritical heat flow of harmonic maps. Zbl 1381.58006
Biernat, Paweł; Donninger, Roland; Schörkhuber, Birgit
2017
Hyperboloidal evolution and global dynamics for the focusing cubic wave equation. Zbl 1373.35197
Burtscher, Annegret Y.; Donninger, Roland
2017
On blowup in supercritical wave equations. Zbl 1361.35112
Donninger, Roland; Schörkhuber, Birgit
2016
A proof for the mode stability of a self-similar wave map. Zbl 1353.35209
Costin, O.; Donninger, R.; Xia, X.
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
2016
On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093
Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min
2016
A vector field method on the distorted Fourier side and decay for wave equations with potentials. Zbl 1391.35253
Donninger, Roland; Krieger, Joachim
2016
A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on $$L^2(\mathbb{R}^d)$$. Zbl 1321.47096
Donninger, Roland; Schörkhuber, Birgit
2015
Stable blow up dynamics for energy supercritical wave equations. Zbl 1286.35049
Donninger, Roland; Schörkhuber, Birgit
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
2014
Stable self-similar blowup in energy supercritical Yang-Mills theory. Zbl 1315.35042
Donninger, Roland
2014
Nondispersive decay for the cubic wave equation. Zbl 1295.35084
Donninger, Roland; Zenginoğlu, Anil
2014
Nonscattering solutions and blowup at infinity for the critical wave equation. Zbl 1280.35135
Donninger, Roland; Krieger, Joachim
2013
On pointwise decay of linear waves on a Schwarzschild black hole background. Zbl 1242.83054
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy
2012
Stable self-similar blow up for energy subcritical wave equations. Zbl 1259.35044
Donninger, Roland; Schörkhuber, Birgit
2012
On stable self-similar blow up for equivariant wave maps: the linearized problem. Zbl 1245.58014
Donninger, Roland; Schörkhuber, Birgit; Aichelburg, Peter C.
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
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
2011
On stable self-similar blowup for equivariant wave maps. Zbl 1232.58021
Donninger, Roland
2011
Numerical study of the blowup/global existence dichotomy for the focusing cubic nonlinear Klein-Gordon equation. Zbl 1244.35018
Donninger, R.; Schlag, W.
2011
Decay estimates for the one-dimensional wave equation with an inverse power potential. Zbl 1241.35018
Donninger, Roland; Schlag, Wilhelm
2010
Nonlinear stability of self-similar solutions for semilinear wave equations. Zbl 1201.35141
Donninger, Roland
2010
A note on the eigenvalues for equivariant maps of the SU(2) sigma-model. Zbl 1213.35167
Donninger, Roland; Aichelburg, Peter C.
2010
The radial wave operator in similarity coordinates. Zbl 1309.81069
Donninger, Roland
2010
Asymptotics and analytic modes for the wave equation in similarity coordinates. Zbl 1239.35087
Donninger, Roland
2009
Spectral properties and linear stability of self-similar wave maps. Zbl 1183.35074
Donninger, Roland; Aichelburg, Peter C.
2009
On the mode stability of a self-similar wave map. Zbl 1152.81407
Donninger, Roland; Aichelburg, Peter C.
2008
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### 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
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### 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
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### Cited in 24 Fields

 158 Partial differential equations (35-XX) 39 Relativity and gravitational theory (83-XX) 22 Global analysis, analysis on manifolds (58-XX) 16 Quantum theory (81-XX) 14 Differential geometry (53-XX) 12 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)