Morgan, Katrina The effect of metric behavior at spatial infinity on pointwise wave decay in the asymptotically flat stationary setting. (English) Zbl 07791558 Am. J. Math. 146, No. 1, 47-105 (2024). MSC: 35B40 35L15 PDFBibTeX XMLCite \textit{K. Morgan}, Am. J. Math. 146, No. 1, 47--105 (2024; Zbl 07791558) Full Text: DOI arXiv
Van de Moortel, Maxime The breakdown of weak null singularities inside black holes. (English) Zbl 07783734 Duke Math. J. 172, No. 15, 2957-3012 (2023). MSC: 35Q75 35Q76 83C57 83C75 83C22 PDFBibTeX XMLCite \textit{M. Van de Moortel}, Duke Math. J. 172, No. 15, 2957--3012 (2023; Zbl 07783734) Full Text: DOI arXiv Link
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
Ma, Siyuan; Zhang, Lin Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in strong cosmic censorship conjecture. (English) Zbl 07752624 Trans. Am. Math. Soc. 376, No. 11, 7815-7856 (2023). MSC: 83C75 35Q75 58K55 83C57 58J45 58J37 PDFBibTeX XMLCite \textit{S. Ma} and \textit{L. Zhang}, Trans. Am. Math. Soc. 376, No. 11, 7815--7856 (2023; Zbl 07752624) Full Text: DOI arXiv
Angelopoulos, Yannis; Aretakis, Stefanos; Gajic, Dejan Price’s law and precise late-time asymptotics for subextremal Reissner-Nordström black holes. (English) Zbl 07723247 Ann. Henri Poincaré 24, No. 9, 3215-3287 (2023). MSC: 83C20 35L05 35Q75 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., Ann. Henri Poincaré 24, No. 9, 3215--3287 (2023; Zbl 07723247) 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
Ma, Siyuan; Zhang, Lin Sharp decay for Teukolsky equation in Kerr spacetimes. (English) Zbl 1525.83020 Commun. Math. Phys. 401, No. 1, 333-434 (2023). MSC: 83C57 76U05 83C22 93B18 35L65 35Q61 35L71 PDFBibTeX XMLCite \textit{S. Ma} and \textit{L. Zhang}, Commun. Math. Phys. 401, No. 1, 333--434 (2023; Zbl 1525.83020) Full Text: DOI arXiv
Wallauch, David Strichartz estimates and blowup stability for energy critical nonlinear wave equations. (English) Zbl 1514.35066 Trans. Am. Math. Soc. 376, No. 6, 4321-4360 (2023). MSC: 35B44 35L15 35L71 PDFBibTeX XMLCite \textit{D. Wallauch}, Trans. Am. Math. Soc. 376, No. 6, 4321--4360 (2023; Zbl 1514.35066) Full Text: DOI arXiv
Angelopoulos, Yannis; Aretakis, Stefanos; Gajic, Dejan Late-time tails and mode coupling of linear waves on Kerr spacetimes. (English) Zbl 1525.81031 Adv. Math. 417, Article ID 108939, 153 p. (2023). MSC: 81T20 35Q83 83C57 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., Adv. Math. 417, Article ID 108939, 153 p. (2023; Zbl 1525.81031) Full Text: DOI arXiv
Koch, Herbert (ed.); Raphaël, Pierre (ed.); Tataru, Daniel (ed.); Vișan, Monica (ed.) Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 – July 2, 2022. (English) Zbl 1519.00023 Oberwolfach Rep. 19, No. 2, 1661-1730 (2022). MSC: 00B05 00B25 35-06 35Qxx 37-06 37Kxx 76-06 76-XX PDFBibTeX XMLCite \textit{H. Koch} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1661--1730 (2022; Zbl 1519.00023) Full Text: DOI
Ma, Siyuan; Zhang, Lin Price’s law for spin fields on a Schwarzschild background. (English) Zbl 1504.35546 Ann. PDE 8, No. 2, Paper No. 25, 100 p. (2022). MSC: 35Q75 83C57 83C25 35B40 PDFBibTeX XMLCite \textit{S. Ma} and \textit{L. Zhang}, Ann. PDE 8, No. 2, Paper No. 25, 100 p. (2022; Zbl 1504.35546) Full Text: DOI arXiv
Ma, Siyuan Almost Price’s law in Schwarzschild and decay estimates in Kerr for Maxwell field. (English) Zbl 1512.83045 J. Differ. Equations 339, 1-89 (2022). MSC: 83D05 83C57 35Q61 34K21 PDFBibTeX XMLCite \textit{S. Ma}, J. Differ. Equations 339, 1--89 (2022; Zbl 1512.83045) 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
Kehrberger, Leonhard M. A. The case against smooth null infinity. III: Early-time asymptotics for higher \(\ell\)-modes of linear waves on a Schwarzschild background. (English) Zbl 1495.35033 Ann. PDE 8, No. 2, Paper No. 12, 117 p. (2022). MSC: 35B40 35L05 35L20 53Z05 83C05 83C35 PDFBibTeX XMLCite \textit{L. M. A. Kehrberger}, Ann. PDE 8, No. 2, Paper No. 12, 117 p. (2022; Zbl 1495.35033) Full Text: DOI arXiv
Khavkine, Igor Explicit triangular decoupling of the separated Lichnerowicz tensor wave equation on Schwarzschild into scalar Regge-Wheeler equations. (English) Zbl 1490.35488 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 011, 57 p. (2022). MSC: 35Q75 34B24 34L05 68W30 83C57 83C10 83C35 83C05 83C22 PDFBibTeX XMLCite \textit{I. Khavkine}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 011, 57 p. (2022; Zbl 1490.35488) Full Text: DOI arXiv
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
Ma, Siyuan; Zhang, Lin Sharp decay estimates for massless Dirac fields on a Schwarzschild background. (English) Zbl 1503.83009 J. Funct. Anal. 282, No. 6, Article ID 109375, 112 p. (2022). MSC: 83C57 81R25 81U90 47A10 35L05 58J47 PDFBibTeX XMLCite \textit{S. Ma} and \textit{L. Zhang}, J. Funct. Anal. 282, No. 6, Article ID 109375, 112 p. (2022; Zbl 1503.83009) Full Text: DOI arXiv
Hintz, Peter Normally hyperbolic trapping on asymptotically stationary spacetimes. (English) Zbl 1492.37035 Probab. Math. Phys. 2, No. 1, 71-126 (2021). MSC: 37D10 37D05 58J47 35L05 58J40 83C57 PDFBibTeX XMLCite \textit{P. Hintz}, Probab. Math. Phys. 2, No. 1, 71--126 (2021; Zbl 1492.37035) 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
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
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
Angelopoulos, Yannis; Aretakis, Stefanos; Gajic, Dejan Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity. (English) Zbl 1426.35028 J. Hyperbolic Differ. Equ. 16, No. 1, 1-34 (2019). MSC: 35B40 35L05 83C05 58J45 83C57 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., J. Hyperbolic Differ. Equ. 16, No. 1, 1--34 (2019; Zbl 1426.35028) Full Text: DOI arXiv
Luk, Jonathan; Oh, Sung-Jin Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region. (English) Zbl 1429.83046 Ann. Math. (2) 190, No. 1, 1-111 (2019). Reviewer: Alex B. Gaina (Chisinau) MSC: 83C75 35Q75 83C05 83C57 83C22 PDFBibTeX XMLCite \textit{J. Luk} and \textit{S.-J. Oh}, Ann. Math. (2) 190, No. 1, 1--111 (2019; Zbl 1429.83046) Full Text: DOI arXiv
Angelopoulos, Y.; Aretakis, S.; Gajic, D. Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere. (English) Zbl 1409.83006 Classical Quantum Gravity 35, No. 15, Article ID 155007, 31 p. (2018). MSC: 83C05 83C60 83C40 83C30 35B32 35L05 53Z05 PDFBibTeX XMLCite \textit{Y. Angelopoulos} et al., Classical Quantum Gravity 35, No. 15, Article ID 155007, 31 p. (2018; Zbl 1409.83006) Full Text: DOI arXiv
Nicponski, John; Jung, Jae-Hun A note on high-precision approximation of asymptotically decaying solution and orthogonal decomposition. (English) Zbl 1415.65155 J. Sci. Comput. 76, No. 1, 189-215 (2018). MSC: 65L05 65L20 83C57 PDFBibTeX XMLCite \textit{J. Nicponski} and \textit{J.-H. Jung}, J. Sci. Comput. 76, No. 1, 189--215 (2018; Zbl 1415.65155) Full Text: DOI
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
Hintz, Peter; Vasy, András Analysis of linear waves near the Cauchy horizon of cosmological black holes. (English) Zbl 1370.83119 J. Math. Phys. 58, No. 8, 081509, 45 p. (2017). MSC: 83F05 83C57 85A25 35L05 35P25 PDFBibTeX XMLCite \textit{P. Hintz} and \textit{A. Vasy}, J. Math. Phys. 58, No. 8, 081509, 45 p. (2017; Zbl 1370.83119) 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
Gajic, Dejan Linear waves in the interior of extremal black holes. I. (English) Zbl 1368.83040 Commun. Math. Phys. 353, No. 2, 717-770 (2017). MSC: 83C57 35L05 83C22 83C05 PDFBibTeX XMLCite \textit{D. Gajic}, Commun. Math. Phys. 353, No. 2, 717--770 (2017; Zbl 1368.83040) 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
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
Costin, O.; Huang, M. Decay estimates for one-dimensional wave equations with inverse power potentials. (English) Zbl 1315.35032 Trans. Am. Math. Soc. 367, No. 5, 3705-3732 (2015). MSC: 35B40 35L05 35P25 PDFBibTeX XMLCite \textit{O. Costin} and \textit{M. Huang}, Trans. Am. Math. Soc. 367, No. 5, 3705--3732 (2015; Zbl 1315.35032) Full Text: DOI arXiv
Dyatlov, Semyon Asymptotics of linear waves and resonances with applications to black holes. (English) Zbl 1315.83022 Commun. Math. Phys. 335, No. 3, 1445-1485 (2015). Reviewer: Alex B. Gaina (Chisinau) MSC: 83C35 83C57 35L05 83C05 83C75 PDFBibTeX XMLCite \textit{S. Dyatlov}, Commun. Math. Phys. 335, No. 3, 1445--1485 (2015; Zbl 1315.83022) 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
Guillarmou, Colin; Hassell, Andrew; Sikora, Adam Resolvent at low energy. III: The spectral measure. (English) Zbl 1303.58010 Trans. Am. Math. Soc. 365, No. 11, 6103-6148 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 58J50 35P25 47A40 PDFBibTeX XMLCite \textit{C. Guillarmou} et al., Trans. Am. Math. Soc. 365, No. 11, 6103--6148 (2013; Zbl 1303.58010) Full Text: DOI arXiv
Tataru, Daniel Price’s law on black hole space-times. (English) Zbl 1262.83037 Grieser, Daniel (ed.) et al., Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14–18, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0465-3/pbk; 978-3-0348-0466-0/ebook). Trends in Mathematics, 145-148 (2013). MSC: 83C57 83C25 83C05 35L05 PDFBibTeX XMLCite \textit{D. Tataru}, in: Microlocal methods in mathematical physics and global analysis. Extended abstracts of the conference, Tübingen, Germany, June 14--18, 2011. Basel: Birkhäuser. 145--148 (2013; Zbl 1262.83037) Full Text: DOI
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
Dyatlov, Semyon Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes. (English) Zbl 1246.83111 Ann. Henri Poincaré 13, No. 5, 1101-1166 (2012). MSC: 83C57 83C35 83C25 83C05 83-08 35L05 83C10 83C50 PDFBibTeX XMLCite \textit{S. Dyatlov}, Ann. Henri Poincaré 13, No. 5, 1101--1166 (2012; Zbl 1246.83111) 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
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
Wunsch, Jared; Zworski, Maciej Resolvent estimates for normally hyperbolic trapped sets. (English) Zbl 1228.81170 Ann. Henri Poincaré 12, No. 7, 1349-1385 (2011). MSC: 81Q20 81Q05 83C57 83C75 PDFBibTeX XMLCite \textit{J. Wunsch} and \textit{M. Zworski}, Ann. Henri Poincaré 12, No. 7, 1349--1385 (2011; Zbl 1228.81170) Full Text: DOI arXiv
Dyatlov, Semyon Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole. (English) Zbl 1223.83029 Commun. Math. Phys. 306, No. 1, 119-163 (2011). MSC: 83C57 83C25 35L15 35L05 83C05 PDFBibTeX XMLCite \textit{S. Dyatlov}, Commun. Math. Phys. 306, No. 1, 119--163 (2011; Zbl 1223.83029) 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
Chruściel, Piotr T.; Galloway, Gregory J.; Pollack, Daniel Mathematical general relativity: a sampler. (English) Zbl 1205.83002 Bull. Am. Math. Soc., New Ser. 47, No. 4, 567-638 (2010). Reviewer: José L. Flores (Málaga) MSC: 83-02 83C05 83C57 83C75 83C40 PDFBibTeX XMLCite \textit{P. T. Chruściel} et al., Bull. Am. Math. Soc., New Ser. 47, No. 4, 567--638 (2010; Zbl 1205.83002) Full Text: DOI arXiv