Gunasekaran, Sharmila; Kunduri, Hari K. Slow decay of waves in gravitational solitons. (English) Zbl 1462.83012 Ann. Henri Poincaré 22, No. 3, 821-872 (2021). MSC: 83C25 83E50 35L05 35C08 53Z05 PDFBibTeX XMLCite \textit{S. Gunasekaran} and \textit{H. K. Kunduri}, Ann. Henri Poincaré 22, No. 3, 821--872 (2021; Zbl 1462.83012) Full Text: DOI arXiv
Lindblad, Hans; Tohaneanu, Mihai A local energy estimate for wave equations on metrics asymptotically close to Kerr. (English) Zbl 1455.35022 Ann. Henri Poincaré 21, No. 11, 3659-3726 (2020). MSC: 35B40 35L72 58J45 35L15 35B45 35L40 83C57 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{M. Tohaneanu}, Ann. Henri Poincaré 21, No. 11, 3659--3726 (2020; Zbl 1455.35022) Full Text: DOI arXiv
Hung, Pei-Ken; Keller, Jordan; Wang, Mu-Tao Linear stability of Schwarzschild spacetime: decay of metric coefficients. (English) Zbl 1482.53084 J. Differ. Geom. 116, No. 3, 481-541 (2020). MSC: 53C50 83C57 PDFBibTeX XMLCite \textit{P.-K. Hung} et al., J. Differ. Geom. 116, No. 3, 481--541 (2020; Zbl 1482.53084) Full Text: DOI arXiv Euclid
Mokdad, Mokdad Decay of Maxwell fields on Reissner-Nordström-de Sitter black holes. (English) Zbl 1442.35451 Lett. Math. Phys. 110, No. 7, 1961-2018 (2020). MSC: 35Q75 83C57 83C22 83C30 PDFBibTeX XMLCite \textit{M. Mokdad}, Lett. Math. Phys. 110, No. 7, 1961--2018 (2020; Zbl 1442.35451) Full Text: DOI arXiv
Brzeźniak, Zdzisław; Hornung, Fabian; Weis, Lutz Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. (English) Zbl 1420.35276 Probab. Theory Relat. Fields 174, No. 3-4, 1273-1338 (2019). MSC: 35Q41 35R60 60H15 60H30 42B25 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Probab. Theory Relat. Fields 174, No. 3--4, 1273--1338 (2019; Zbl 1420.35276) Full Text: DOI arXiv
Lindblad, Hans; Tohaneanu, Mihai Global existence for quasilinear wave equations close to Schwarzschild. (English) Zbl 1411.35209 Commun. Partial Differ. Equations 43, No. 6, 893-944 (2018). Reviewer: Dongbing Zha (Shanghai) MSC: 35L72 35L15 35B40 35Q75 PDFBibTeX XMLCite \textit{H. Lindblad} and \textit{M. Tohaneanu}, Commun. Partial Differ. Equations 43, No. 6, 893--944 (2018; Zbl 1411.35209) 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
Andersson, Lars; Blue, Pieter Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior. (English) Zbl 1338.83094 J. Hyperbolic Differ. Equ. 12, No. 4, 689-743 (2015). MSC: 83C57 83C15 35Q75 83C22 83C25 83C40 78A25 83C10 83C05 PDFBibTeX XMLCite \textit{L. Andersson} and \textit{P. Blue}, J. Hyperbolic Differ. Equ. 12, No. 4, 689--743 (2015; Zbl 1338.83094) Full Text: DOI arXiv
Andersson, Lars; Blue, Pieter Hidden symmetries and decay for the wave equation on the Kerr spacetime. (English) Zbl 1373.35307 Ann. Math. (2) 182, No. 3, 787-853 (2015). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q76 83C05 83C57 83F05 83C20 PDFBibTeX XMLCite \textit{L. Andersson} and \textit{P. Blue}, Ann. Math. (2) 182, No. 3, 787--853 (2015; Zbl 1373.35307) Full Text: DOI arXiv
Laul, Parul; Metcalfe, Jason; Tikare, Shreyas; Tohaneanu, Mihai Localized energy estimates for wave equations on (1+4)-dimensional Myers-Perry space-times. (English) Zbl 1333.35279 SIAM J. Math. Anal. 47, No. 3, 1933-1957 (2015). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q75 35L05 83C57 35B45 35Q76 PDFBibTeX XMLCite \textit{P. Laul} et al., SIAM J. Math. Anal. 47, No. 3, 1933--1957 (2015; Zbl 1333.35279) Full Text: DOI DOI arXiv
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai Price’s law on nonstationary space-times. (English) Zbl 1246.83070 Adv. Math. 230, No. 3, 995-1028 (2012). MSC: 83C40 35L05 83C57 83C25 PDFBibTeX XMLCite \textit{J. Metcalfe} et al., Adv. Math. 230, No. 3, 995--1028 (2012; Zbl 1246.83070) Full Text: DOI arXiv
D’Ancona, Piero; Selberg, Sigmund Dispersive estimate for the 1D Schrödinger equation with a steplike potential. (English) Zbl 1232.35037 J. Differ. Equations 252, No. 2, 1603-1634 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35J10 35J05 35Q41 PDFBibTeX XMLCite \textit{P. D'Ancona} and \textit{S. Selberg}, J. Differ. Equations 252, No. 2, 1603--1634 (2012; Zbl 1232.35037) 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
Luk, Jonathan Improved decay for solutions to the linear wave equation on a Schwarzschild black hole. (English) Zbl 1208.83068 Ann. Henri Poincaré 11, No. 5, 805-880 (2010). MSC: 83C57 83C05 35L05 PDFBibTeX XMLCite \textit{J. Luk}, Ann. Henri Poincaré 11, No. 5, 805--880 (2010; Zbl 1208.83068) Full Text: DOI arXiv
Marzuola, Jeremy; Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai Strichartz estimates on Schwarzschild black hole backgrounds. (English) Zbl 1202.35327 Commun. Math. Phys. 293, No. 1, 37-83 (2010). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q76 83C05 83C57 35L05 58J45 PDFBibTeX XMLCite \textit{J. Marzuola} et al., Commun. Math. Phys. 293, No. 1, 37--83 (2010; Zbl 1202.35327) 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