Donninger, Roland; Wallauch, David Optimal blowup stability for supercritical wave maps. (English) Zbl 1526.35085 Adv. Math. 433, Article ID 109291, 86 p. (2023). MSC: 35B44 35B35 35C06 35L71 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{D. Wallauch}, Adv. Math. 433, Article ID 109291, 86 p. (2023; Zbl 1526.35085) Full Text: DOI arXiv
Donninger, Roland; Rao, Ziping Blowup stability at optimal regularity for the critical wave equation. (English) Zbl 1441.35070 Adv. Math. 370, Article ID 107219, 80 p. (2020). MSC: 35B44 35L71 35L15 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{Z. Rao}, Adv. Math. 370, Article ID 107219, 80 p. (2020; Zbl 1441.35070) Full Text: DOI arXiv
Donninger, Roland; Glogić, Irfan Strichartz estimates for the one-dimensional wave equation. (English) Zbl 1440.35019 Trans. Am. Math. Soc. 373, No. 6, 4051-4083 (2020). MSC: 35B45 35L05 35R01 53C07 42B37 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{I. Glogić}, Trans. Am. Math. Soc. 373, No. 6, 4051--4083 (2020; Zbl 1440.35019) Full Text: DOI arXiv
Borthwick, David; Donninger, Roland; Lenzmann, Enno; Marzuola, Jeremy L. Existence and stability of Schrödinger solitons on noncompact manifolds. (English) Zbl 1428.35486 SIAM J. Math. Anal. 51, No. 5, 3854-3901 (2019). MSC: 35Q55 35C08 35B35 35B44 35B20 PDFBibTeX XMLCite \textit{D. Borthwick} et al., SIAM J. Math. Anal. 51, No. 5, 3854--3901 (2019; Zbl 1428.35486) Full Text: DOI arXiv
Chatzikaleas, Athanasios; Donninger, Roland Stable blowup for the cubic wave equation in higher dimensions. (English) Zbl 1415.35200 J. Differ. Equations 266, No. 10, 6809-6865 (2019). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L71 35L15 35B44 35B45 PDFBibTeX XMLCite \textit{A. Chatzikaleas} and \textit{R. Donninger}, J. Differ. Equations 266, No. 10, 6809--6865 (2019; Zbl 1415.35200) Full Text: DOI arXiv
Burtscher, Annegret Y.; Donninger, Roland Hyperboloidal evolution and global dynamics for the focusing cubic wave equation. (English) Zbl 1373.35197 Commun. Math. Phys. 353, No. 2, 549-596 (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L71 35L15 35B44 35C06 PDFBibTeX XMLCite \textit{A. Y. Burtscher} and \textit{R. Donninger}, Commun. Math. Phys. 353, No. 2, 549--596 (2017; Zbl 1373.35197) Full Text: DOI arXiv
Donninger, Roland; Krieger, Joachim A vector field method on the distorted Fourier side and decay for wave equations with potentials. (English) Zbl 1391.35253 Mem. Am. Math. Soc. 1142, vi, 84 p. (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L05 35L20 35B45 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{J. Krieger}, A vector field method on the distorted Fourier side and decay for wave equations with potentials. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1391.35253) Full Text: DOI arXiv
Donninger, Roland; Schörkhuber, Birgit A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1321.47096 J. Funct. Anal. 268, No. 9, 2479-2524 (2015). MSC: 47D06 37H10 60H15 47F05 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{B. Schörkhuber}, J. Funct. Anal. 268, No. 9, 2479--2524 (2015; Zbl 1321.47096) Full Text: DOI arXiv
Donninger, Roland; Krieger, Joachim Nonscattering solutions and blowup at infinity for the critical wave equation. (English) Zbl 1280.35135 Math. Ann. 357, No. 1, 89-163 (2013). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35L05 35B33 35B40 35B44 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{J. Krieger}, Math. Ann. 357, No. 1, 89--163 (2013; Zbl 1280.35135) Full Text: DOI arXiv
Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. (English) Zbl 1258.81038 Ann. Henri Poincaré 13, No. 6, 1371-1426 (2012). Reviewer: Takashi Ichinose (Kanazawa) MSC: 81Q20 81U05 47A40 34L40 PDFBibTeX XMLCite \textit{O. Costin} et al., Ann. Henri Poincaré 13, No. 6, 1371--1426 (2012; Zbl 1258.81038) Full Text: DOI arXiv
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy On pointwise decay of linear waves on a Schwarzschild black hole background. (English) Zbl 1242.83054 Commun. Math. Phys. 309, No. 1, 51-86 (2012). MSC: 83C57 83C25 83C40 83C22 35L05 81Q20 PDFBibTeX XMLCite \textit{R. Donninger} et al., Commun. Math. Phys. 309, No. 1, 51--86 (2012; Zbl 1242.83054) Full Text: DOI arXiv
Donninger, Roland; Schlag, Wilhelm; Soffer, Avy A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. (English) Zbl 1205.83041 Adv. Math. 226, No. 1, 484-540 (2011). MSC: 83C57 83C05 83C25 35L05 PDFBibTeX XMLCite \textit{R. Donninger} et al., Adv. Math. 226, No. 1, 484--540 (2011; Zbl 1205.83041) Full Text: DOI arXiv