Prof. Dr. Roland Donninger

Profile

Academic positionFull Professor
Research fieldsAnalysis, Differential Equations,Theoretical Physics
Keywordsnonlinear wave equation, wave maps, blowup, self-similar solution

Current contact address

CountryAustria
CityWien
InstitutionUniversität Wien

Host during sponsorship

Prof. Dr. Herbert KochMathematisches Institut (MI), Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn
Start of initial sponsorship01/10/2014

Programme(s)

2014Sofja Kovalevskaja Award Programme

Publications (partial selection)

2017Annegret Burtscher, Roland Donninger: Hyperboloidal evolution and global dynamics for the focusing cubic wave equation. In: Communications in Mathematical Physics, 2017, 549-596
2017Matthew Creek, Roland Donninger, Wilhelm Schlag, Stanley Snelson: Linear stability of the Skyrmion. In: International Mathematics Research Notices, 2017, 2497-2537
2017Athanasios Chatzikaleas, Roland Donninger, Irfan Glogi?: On blowup of co-rotational wave maps in odd space dimensions. In: Journal of Differential Equations, 2017, 5090-5119
2017Roland Donninger, Birgit Schörkhuber: Stable blowup for wave equations in odd space dimensions. In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 2017, 1181-1213
2017Pawel Biernat, Roland Donninger, Birgit Schörkhuber: Stable self-similar blowup in the supercritical heat flow of harmonic maps. In: Calculus of Variations and Partial Differential Equations, 2017,
2017Roland Donninger: Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. In: Duke Mathematical Journal, 2017, 1627-1683
2016Ovidiu Costin, Roland Donninger, Xiaoyue Xia: A proof for the mode stability of a self-similar wave map. In: Nonlinearity, 2016, 2451-2473
2016Roland Donninger, Birgit Schörkhuber: On blowup in supercritical wave equations. In: Communications in Mathematical Physics, 2016, 907-943
2016Ovidiu Costin, Roland Donninger, Irfan Glogi?, Min Huang: On the stability of self-similar solutions to nonlinear wave equations. In: Communications in Mathematical Physics, 2016, 299-310
2015Roland Donninger, Birgit Schörkhuber: A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on L^2(R^d).. In: Journal of Functional Analysis, 2015, 2479-2524
Ovidiu Costin, Roland Donninger, Irfan Glogi?: Mode stability of self-similar wave maps in higher dimensions. In: Communications in Mathematical Physics, , 959-972