Edit Profile (opens in new tab) Donninger, Roland Co-Author Distance Author ID: 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 all top 5 Co-Authors 9 single-authored 10 Schörkhuber, Birgit 7 Schlag, Wilhelm 6 Glogić, Irfan 4 Aichelburg, Peter C. 4 Costin, Ovidiu 4 Krieger, Joachim 3 Biernat, Paweł 3 Wallauch, David 2 Chatzikaleas, Athanasios 2 Huang, Min 2 Soffer, Avraham 1 Borthwick, David 1 Burtscher, Annegret Y. 1 Chen, PoNing 1 Creek, Matthew 1 Lenzmann, Enno 1 Marzuola, Jeremy Louis 1 McNulty, Michael Bennett 1 Ostermann, Matthias 1 Rao, Ziping 1 Snelson, Stanley 1 Szeftel, Jérémie 1 Tanveer, Saleh 1 Wong, Willie Wai-Yeung 1 Xia, Xiaoyue 1 Zenginoğlu, Anıl all top 5 Serials 6 Communications in Mathematical Physics 3 Nonlinearity 3 Advances in Mathematics 3 Journal of Differential Equations 3 IMRN. International Mathematics Research Notices 2 Journal of Mathematical Physics 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 2 Communications in Partial Differential Equations 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 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 all top 5 Fields 42 Partial differential equations (35-XX) 11 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 5 Operator theory (47-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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 29 Fields 203 Partial differential equations (35-XX) 54 Relativity and gravitational theory (83-XX) 26 Global analysis, analysis on manifolds (58-XX) 23 Quantum theory (81-XX) 15 Differential geometry (53-XX) 12 Ordinary differential equations (34-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Operator theory (47-XX) 7 Fluid mechanics (76-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Biology and other natural sciences (92-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-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 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year