Bigorgne, Léo Decay estimates for the massless Vlasov equation on Schwarzschild spacetimes. (English) Zbl 07753891 Ann. Henri Poincaré 24, No. 11, 3763-3836 (2023). MSC: 83Cxx 35Qxx 35Lxx PDFBibTeX XMLCite \textit{L. Bigorgne}, Ann. Henri Poincaré 24, No. 11, 3763--3836 (2023; Zbl 07753891) Full Text: DOI arXiv
Gajic, Dejan Late-time asymptotics for geometric wave equations with inverse-square potentials. (English) Zbl 1527.83051 J. Funct. Anal. 285, No. 7, Article ID 110058, 114 p. (2023). MSC: 83C57 35J05 83F05 83C30 14B25 78A30 78A40 81U90 PDFBibTeX XMLCite \textit{D. Gajic}, J. Funct. Anal. 285, No. 7, Article ID 110058, 114 p. (2023; Zbl 1527.83051) Full Text: DOI arXiv
Sigal, I. M. Differential equations of quantum mechanics. (English) Zbl 1504.35421 Q. Appl. Math. 80, No. 3, 451-480 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q41 35Q55 35Q56 81Q99 81U24 81V10 82D55 81V73 81V74 PDFBibTeX XMLCite \textit{I. M. Sigal}, Q. Appl. Math. 80, No. 3, 451--480 (2022; Zbl 1504.35421) Full Text: DOI arXiv
Schlag, W. On pointwise decay of waves. (English) Zbl 1467.81039 J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021). MSC: 81Q05 81Q35 35B40 83C57 35Q55 35B44 PDFBibTeX XMLCite \textit{W. Schlag}, J. Math. Phys. 62, No. 6, Article ID 061509, 27 p. (2021; Zbl 1467.81039) 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
Angelopoulos, Y.; Aretakis, S.; Gajic, D. Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds. (English) Zbl 1453.83002 Adv. Math. 375, Article ID 107363, 139 p. (2020). Reviewer: Jorge Pullin (Baton Rouge) MSC: 83C05 83C57 83C75 83C25 83C40 53Z05 35Q76 35L05 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., Adv. Math. 375, Article ID 107363, 139 p. (2020; Zbl 1453.83002) Full Text: DOI arXiv
Angelopoulos, Y.; Aretakis, S.; Gajic, D. Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes. (English) Zbl 1448.35503 Ann. PDE 6, No. 2, Paper No. 12, 123 p. (2020). MSC: 35Q75 83C57 83C35 35A01 35B44 35B40 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., Ann. PDE 6, No. 2, Paper No. 12, 123 p. (2020; Zbl 1448.35503) Full Text: DOI arXiv
Ma, Siyuan Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. II: linearized gravity. (English) Zbl 1443.83036 Commun. Math. Phys. 377, No. 3, 2489-2551 (2020). MSC: 83C57 83C25 83C40 83C60 35Q76 83C05 53Z05 PDFBibTeX XMLCite \textit{S. Ma}, Commun. Math. Phys. 377, No. 3, 2489--2551 (2020; Zbl 1443.83036) Full Text: DOI arXiv
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
Ma, Siyuan Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. I: Maxwell field. (English) Zbl 1437.83065 Ann. Henri Poincaré 21, No. 3, 815-863 (2020). MSC: 83C57 35Q75 83C05 83C25 83C40 35L05 78A25 53Z05 81Q05 PDFBibTeX XMLCite \textit{S. Ma}, Ann. Henri Poincaré 21, No. 3, 815--863 (2020; Zbl 1437.83065) Full Text: DOI arXiv
Angelopoulos, Y.; Aretakis, S.; Gajic, D. A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes. (English) Zbl 1421.35025 Ann. PDE 4, No. 2, Paper No. 15, 120 p. (2018). MSC: 35B40 58J45 83C57 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., Ann. PDE 4, No. 2, Paper No. 15, 120 p. (2018; Zbl 1421.35025) 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
Angelopoulos, Y.; Aretakis, S.; Gajic, D. Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes. (English) Zbl 1381.83051 Adv. Math. 323, 529-621 (2018). Reviewer: Mohammad Khorrami (Tehran) MSC: 83C57 35L05 83C10 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., Adv. Math. 323, 529--621 (2018; Zbl 1381.83051) 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
Georgescu, Vladimir; Larenas, Manuel; Soffer, Avy Abstract theory of pointwise decay with applications to wave and Schrödinger equations. (English) Zbl 1367.47029 Ann. Henri Poincaré 17, No. 8, 2075-2101 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B25 47B47 37L50 35Q41 47D08 81Q10 PDFBibTeX XMLCite \textit{V. Georgescu} et al., Ann. Henri Poincaré 17, No. 8, 2075--2101 (2016; Zbl 1367.47029) Full Text: DOI arXiv
Franzen, Anne T. Boundedness of massless scalar waves on Reissner-Nordström interior backgrounds. (English) Zbl 1342.35386 Commun. Math. Phys. 343, No. 2, 601-650 (2016). MSC: 35Q76 83C57 83C05 PDFBibTeX XMLCite \textit{A. T. Franzen}, Commun. Math. Phys. 343, No. 2, 601--650 (2016; Zbl 1342.35386) 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
Baskin, Dean; Wang, Fang Radiation fields on Schwarzschild spacetime. (English) Zbl 1298.83064 Commun. Math. Phys. 331, No. 2, 477-506 (2014). MSC: 83C57 83C05 35L05 83C75 53Z05 PDFBibTeX XMLCite \textit{D. Baskin} and \textit{F. Wang}, Commun. Math. Phys. 331, No. 2, 477--506 (2014; Zbl 1298.83064) Full Text: DOI arXiv
Zhang, Shao-Jun; Pan, Qiyuan; Wang, Bin; Abdalla, Elcio Horizon instability of massless scalar perturbations of an extreme Reissner-Nordström-AdS black hole. (English) Zbl 1342.83214 J. High Energy Phys. 2013, No. 9, Paper No. 101, 17 p. (2013). MSC: 83C57 PDFBibTeX XMLCite \textit{S.-J. Zhang} et al., J. High Energy Phys. 2013, No. 9, Paper No. 101, 17 p. (2013; Zbl 1342.83214) Full Text: DOI arXiv
Vasy, András Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov). (English) Zbl 1315.35015 Invent. Math. 194, No. 2, 381-513 (2013). Reviewer: Semyon Dyatlov (Cambridge, MA) MSC: 35A27 35L05 35P25 58J47 83C57 35B34 PDFBibTeX XMLCite \textit{A. Vasy}, Invent. Math. 194, No. 2, 381--513 (2013; Zbl 1315.35015) 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
Aretakis, Stefanos Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. II. (English) Zbl 1242.83049 Ann. Henri Poincaré 12, No. 8, 1491-1538 (2011). MSC: 83C57 83C05 83C10 35L05 83C25 83C40 83C22 PDFBibTeX XMLCite \textit{S. Aretakis}, Ann. Henri Poincaré 12, No. 8, 1491--1538 (2011; Zbl 1242.83049) Full Text: DOI arXiv
Aretakis, Stefanos Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. I. (English) Zbl 1229.85002 Commun. Math. Phys. 307, No. 1, 17-63 (2011). MSC: 85A05 83C57 35L05 83C22 83C50 83C75 83C25 83C05 PDFBibTeX XMLCite \textit{S. Aretakis}, Commun. Math. Phys. 307, No. 1, 17--63 (2011; Zbl 1229.85002) 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
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
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
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