Hintz, Peter A sharp version of Price’s law for wave decay on asymptotically flat spacetimes. (English) Zbl 1484.83012 Commun. Math. Phys. 389, No. 1, 491-542 (2022). MSC: 83C30 83F05 83C57 35L05 35C07 83C10 PDFBibTeX XMLCite \textit{P. Hintz}, Commun. Math. Phys. 389, No. 1, 491--542 (2022; Zbl 1484.83012) Full Text: DOI arXiv
Cederbaum, Carla (ed.); Dafermos, Mihalis (ed.); Isenberg, Jim (ed.); Ringström, Hans (ed.) Mathematical aspects of general relativity. Abstracts from the workshop held August 29 – September 4, 2021 (hybrid meeting). (English) Zbl 1506.00054 Oberwolfach Rep. 18, No. 3, 2157-2267 (2021). MSC: 00B05 00B25 83-06 53-06 35Q83 PDFBibTeX XMLCite \textit{C. Cederbaum} (ed.) et al., Oberwolfach Rep. 18, No. 3, 2157--2267 (2021; Zbl 1506.00054) Full Text: DOI
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
Fournodavlos, Grigorios; Sbierski, Jan Generic blow-up results for the wave equation in the interior of a Schwarzschild black hole. (English) Zbl 1434.35223 Arch. Ration. Mech. Anal. 235, No. 2, 927-971 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q75 83C57 35C20 35B44 35B06 35C20 PDFBibTeX XMLCite \textit{G. Fournodavlos} and \textit{J. Sbierski}, Arch. Ration. Mech. Anal. 235, No. 2, 927--971 (2020; Zbl 1434.35223) Full Text: DOI arXiv
Andersson, Lars; Blue, Pieter; Wang, Jinhua Morawetz estimate for linearized gravity in Schwarzschild. (English) Zbl 1437.83052 Ann. Henri Poincaré 21, No. 3, 761-813 (2020). MSC: 83C57 83C25 35L05 83C05 35Q75 83C40 81Q05 PDFBibTeX XMLCite \textit{L. Andersson} et al., Ann. Henri Poincaré 21, No. 3, 761--813 (2020; Zbl 1437.83052) Full Text: DOI arXiv
Johnson, Thomas William The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge. (English) Zbl 1436.35038 Ann. PDE 5, No. 2, Paper No. 13, 92 p. (2019). MSC: 35B35 35Q75 35Q76 58J45 83C57 PDFBibTeX XMLCite \textit{T. W. Johnson}, Ann. PDE 5, No. 2, Paper No. 13, 92 p. (2019; Zbl 1436.35038) 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
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
Metcalfe, Jason; Spencer, David Global existence for a coupled wave system related to the Strauss conjecture. (English) Zbl 1392.35191 Commun. Pure Appl. Anal. 17, No. 2, 593-604 (2018). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35L51 58J45 35B33 35B45 83C57 PDFBibTeX XMLCite \textit{J. Metcalfe} and \textit{D. Spencer}, Commun. Pure Appl. Anal. 17, No. 2, 593--604 (2018; Zbl 1392.35191) Full Text: DOI arXiv
Metcalfe, Jason; Wang, Chengbo The Strauss conjecture on asymptotically flat space-times. (English) Zbl 1387.35416 SIAM J. Math. Anal. 49, No. 6, 4579-4594 (2017). MSC: 35L70 35L15 35B33 83C57 PDFBibTeX XMLCite \textit{J. Metcalfe} and \textit{C. Wang}, SIAM J. Math. Anal. 49, No. 6, 4579--4594 (2017; Zbl 1387.35416) Full Text: DOI arXiv
Metcalfe, Jason; Tataru, Daniel; Tohaneanu, Mihai Pointwise decay for the Maxwell field on black hole space-times. (English) Zbl 1381.35182 Adv. Math. 316, 53-93 (2017). Reviewer: Michael Kunzinger (Wien) MSC: 35Q75 83C22 83C57 PDFBibTeX XMLCite \textit{J. Metcalfe} et al., Adv. Math. 316, 53--93 (2017; Zbl 1381.35182) Full Text: DOI arXiv
Soffer, Avy; Xiao, Jianguo Multi-center vector field methods for wave equations. (English) Zbl 1413.58012 Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016). MSC: 58J45 35B40 35J10 35L70 35Q41 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{J. Xiao}, Math. Phys. Anal. Geom. 19, No. 4, Paper No. 22, 36 p. (2016; Zbl 1413.58012) 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
Ionescu, Alexandru D.; Klainerman, Sergiu On the global stability of the wave-map equation in Kerr spaces with small angular momentum. (English) Zbl 1396.83006 Ann. PDE 1, No. 1, Paper No. 1, 78 p. (2015). MSC: 83C05 35L70 83C57 PDFBibTeX XMLCite \textit{A. D. Ionescu} and \textit{S. Klainerman}, Ann. PDE 1, No. 1, Paper No. 1, 78 p. (2015; Zbl 1396.83006) 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
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
Lindblad, Hans; Metcalfe, Jason; Sogge, Christopher D.; Tohaneanu, Mihai; Wang, Chengbo The Strauss conjecture on Kerr black hole backgrounds. (English) Zbl 1295.35327 Math. Ann. 359, No. 3-4, 637-661 (2014). MSC: 35L71 35B40 35L15 83C57 PDFBibTeX XMLCite \textit{H. Lindblad} et al., Math. Ann. 359, No. 3--4, 637--661 (2014; Zbl 1295.35327) Full Text: DOI arXiv
Laul, Parul; Metcalfe, Jason Localized energy estimates for wave equations on high-dimensional Schwarzschild space-times. (English) Zbl 1282.35104 Proc. Am. Math. Soc. 140, No. 9, 3247-3262 (2012). Reviewer: Chengbo Wang (Hangzhou) MSC: 35B45 35L05 83C57 35B40 35L15 PDFBibTeX XMLCite \textit{P. Laul} and \textit{J. Metcalfe}, Proc. Am. Math. Soc. 140, No. 9, 3247--3262 (2012; Zbl 1282.35104) Full Text: 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
Smoller, Joel; Xie, Chunjing Asymptotic behavior of massless Dirac waves in Schwarzschild geometry. (English) Zbl 1357.58034 Ann. Henri Poincaré 13, No. 4, 943-989 (2012). MSC: 58Z05 35J10 35Q41 35Q75 83C30 PDFBibTeX XMLCite \textit{J. Smoller} and \textit{C. Xie}, Ann. Henri Poincaré 13, No. 4, 943--989 (2012; Zbl 1357.58034) Full Text: DOI arXiv Link
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
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
Valiente Kroon, Juan Antonio Estimates for the Maxwell field near the spatial and null infinity of the Schwarzschild spacetime. (English) Zbl 1190.83016 J. Hyperbolic Differ. Equ. 6, No. 2, 229-268 (2009). Reviewer: Satyanad Kichenassamy (Reims) MSC: 83C05 35Q61 83C60 83C50 83C57 83C25 83C30 83C22 PDFBibTeX XMLCite \textit{J. A. Valiente Kroon}, J. Hyperbolic Differ. Equ. 6, No. 2, 229--268 (2009; Zbl 1190.83016) Full Text: DOI arXiv
Blue, P.; Soffer, A. Phase space analysis on some black hole manifolds. (English) Zbl 1158.83007 J. Funct. Anal. 256, No. 1, 1-90 (2009). MSC: 83C05 83C57 35Q75 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, J. Funct. Anal. 256, No. 1, 1--90 (2009; Zbl 1158.83007) Full Text: DOI arXiv
Blue, Pieter Decay of the Maxwell field on the Schwarzschild manifold. (English) Zbl 1169.35057 J. Hyperbolic Differ. Equ. 5, No. 4, 807-856 (2008). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35Q75 83C57 PDFBibTeX XMLCite \textit{P. Blue}, J. Hyperbolic Differ. Equ. 5, No. 4, 807--856 (2008; Zbl 1169.35057) Full Text: DOI arXiv
Blue, Pieter; Soffer, Avy A space-time integral estimate for a large data semi-linear wave equation on the Schwarzschild manifold. (English) Zbl 1137.58011 Lett. Math. Phys. 81, No. 3, 227-238 (2007). MSC: 58J45 35P25 35L70 PDFBibTeX XMLCite \textit{P. Blue} and \textit{A. Soffer}, Lett. Math. Phys. 81, No. 3, 227--238 (2007; Zbl 1137.58011) Full Text: DOI arXiv
Blue, Pieter; Sterbenz, Jacob Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space. (English) Zbl 1123.58018 Commun. Math. Phys. 268, No. 2, 481-504 (2006). MSC: 58J45 83C47 PDFBibTeX XMLCite \textit{P. Blue} and \textit{J. Sterbenz}, Commun. Math. Phys. 268, No. 2, 481--504 (2006; Zbl 1123.58018) Full Text: DOI arXiv