Merle, Frank; Raphaël, Pierre; Rodnianski, Igor; Szeftel, Jeremie On blow up for the energy super critical defocusing nonlinear Schrödinger equations. (English) Zbl 1487.35353 Invent. Math. 227, No. 1, 247-413 (2022). MSC: 35Q55 35Q31 76N10 35B44 35D35 35C06 PDFBibTeX XMLCite \textit{F. Merle} et al., Invent. Math. 227, No. 1, 247--413 (2022; Zbl 1487.35353) Full Text: DOI arXiv
Dafermos, Mihalis; Holzegel, Gustav; Rodnianski, Igor Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case \(|a|\ll M\). (English) Zbl 1428.35585 Ann. PDE 5, No. 1, Paper No. 2, 118 p. (2019). MSC: 35Q75 83C57 PDFBibTeX XMLCite \textit{M. Dafermos} et al., Ann. PDE 5, No. 1, Paper No. 2, 118 p. (2019; Zbl 1428.35585) Full Text: DOI arXiv
Dafermos, Mihalis; Rodnianski, Igor; Shlapentokh-Rothman, Yakov Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\). (English) Zbl 1347.83002 Ann. Math. (2) 183, No. 3, 787-913 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 83-02 35L05 35Q75 83C05 83C15 83C57 83C25 PDFBibTeX XMLCite \textit{M. Dafermos} et al., Ann. Math. (2) 183, No. 3, 787--913 (2016; Zbl 1347.83002) Full Text: DOI arXiv
Rodnianski, Igor; Tao, Terence Effective limiting absorption principles, and applications. (English) Zbl 1310.35204 Commun. Math. Phys. 333, No. 1, 1-95 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q41 PDFBibTeX XMLCite \textit{I. Rodnianski} and \textit{T. Tao}, Commun. Math. Phys. 333, No. 1, 1--95 (2015; Zbl 1310.35204) Full Text: DOI arXiv
Dafermos, Mihalis; Rodnianski, Igor A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds. (English) Zbl 1226.83029 Invent. Math. 185, No. 3, 467-559 (2011). MSC: 83C57 83C25 35L05 83C05 83C40 35L15 PDFBibTeX XMLCite \textit{M. Dafermos} and \textit{I. Rodnianski}, Invent. Math. 185, No. 3, 467--559 (2011; Zbl 1226.83029) Full Text: DOI arXiv
Dafermos, Mihalis; Rodnianski, Igor The red-shift effect and radiation decay on black hole spacetimes. (English) Zbl 1169.83008 Commun. Pure Appl. Math. 62, No. 7, 859-919 (2009). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83C10 85A25 83C57 PDFBibTeX XMLCite \textit{M. Dafermos} and \textit{I. Rodnianski}, Commun. Pure Appl. Math. 62, No. 7, 859--919 (2009; Zbl 1169.83008) Full Text: DOI arXiv
Dafermos, Mihalis; Rodnianski, Igor Small-amplitude nonlinear waves on a black hole background. (English) Zbl 1079.35069 J. Math. Pures Appl., IX. Sér. 84, No. 9, 1147-1172 (2005). Reviewer: Marie Kopáčková (Praha) MSC: 35L70 35Q75 35B40 83C57 PDFBibTeX XMLCite \textit{M. Dafermos} and \textit{I. Rodnianski}, J. Math. Pures Appl. (9) 84, No. 9, 1147--1172 (2005; Zbl 1079.35069) Full Text: DOI arXiv