Livres, Actes et Séminaires du Centre Mersenne

[1] Lars Andersson, Siyuan Ma, Claudio Paganini, and Bernard F. Whiting. Mode stability on the real axis. J. Math. Phys., 58(7):072501, 19, 2017. | DOI | Zbl

[2] Yannis Angelopoulos, Stefanos Aretakis, and Dejan Gajic. Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes. Adv. Math., 323:529–621, 2018. | DOI | Zbl

[3] Yannis Angelopoulos, Stefanos Aretakis, and Dejan Gajic. A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes. Ann. PDE, 4(2):120, 2018. Id/No 15. | DOI

[4] Yannis Angelopoulos, Stefanos Aretakis, and Dejan Gajic. Late-time tails and mode coupling of linear waves on Kerr spacetimes. Advances in Mathematics, 417:108939, 2023. | DOI | Zbl

[5] Jean-François Bony and Dietrich Häfner. Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian. Math. Res. Lett., 17(2):301–306, 2010. | DOI | Zbl

[6] Jean-François Bony and Dietrich Häfner. The semilinear wave equation on asymptotically Euclidean manifolds. Commun. Partial Differ. Equations, 35(1):23–67, 2010. | DOI | Zbl

[7] Jean-François Bony and Dietrich Häfner. Local energy decay for several evolution equations on asymptotically Euclidean manifolds. Ann. Sci. Éc. Norm. Supér. (4), 45(2):311–335, 2012. | DOI | Zbl

[8] Yvonne Choquet-Bruhat and Robert Geroch. Global aspects of the Cauchy problem in general relativity. Communications in Mathematical Physics, 14:329–335, 1969. | DOI | Zbl

[9] Mihalis Dafermos, Gustav Holzegel, and Igor Rodnianski. Boundedness and decay for the Teukolsky equation on Kerr spacetimes. I: The case $\left|a\right|\ll M$. Ann. PDE, 5(1):118, 2019. Id/No 2. | DOI | Zbl

[10] Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor. The non-linear stability of the Schwarzschild family of black holes, 2021. | arXiv

[11] Mihalis Dafermos, Igor Rodnianski, and Yakov Shlapentokh-Rothman. Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremal case $\left|a\right|<M$. Ann. Math. (2), 183(3):787–913, 2016. | DOI | Zbl

[12] Roland Donninger, Wilhelm Schlag, and Avy Soffer. A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta. Adv. Math., 226(1):484–540, 2011. | DOI | Zbl

[13] Roland Donninger, Wilhelm Schlag, and Avy Soffer. On pointwise decay of linear waves on a Schwarzschild black hole background. Commun. Math. Phys., 309(1):51–86, 2012. | DOI | Zbl

[14] Semyon Dyatlov. Spectral gaps for normally hyperbolic trapping. Ann. Inst. Fourier, 66(1):55–82, 2016. | DOI | Zbl

[15] Y. Fourès-Bruhat. Théorème d’existence pour certains systèmes d’équations aux dérivées partielles non linéaires. Acta Math., 88:141–225, 1952. | DOI | Zbl

[16] Elena Giorgi, Sergiu Klainerman, and Jérémie Szeftel. A general formalism for the stability of Kerr, 2020. | arXiv

[17] Reinaldo J. Gleiser, Richard H. Price, and Jorge Pullin. Late-time tails in the Kerr spacetime. Classical Quantum Gravity, 25(7):6, 2008. Id/No 072001. | DOI | Zbl

[18] Colin Guillarmou and Andrew Hassell. Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I. Math. Ann., 341(4):859–896, 2008. | DOI | Zbl

[19] Colin Guillarmou and Andrew Hassell. Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II. Ann. Inst. Fourier, 59(4):1553–1610, 2009. | DOI | Zbl

[20] Colin Guillarmou, Andrew Hassell, and Adam Sikora. Resolvent at low energy. III: The spectral measure. Trans. Am. Math. Soc., 365(11):6103–6148, 2013. | DOI | Zbl

[21] Dietrich Häfner, Peter Hintz, and András Vasy. Linear stability of slowly rotating Kerr black holes. Invent. Math., 223(3):1227–1406, 2021. | DOI | Zbl

[22] Lili He. The linear stability of weakly charged and slowly rotating Kerr-Newman family of charged black holes, 2023. | arXiv

[23] Peter Hintz. Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes. Ann. PDE, 4(1):131, 2018. Id/No 11. | DOI | Zbl

[24] Peter Hintz. A sharp version of Price’s law for wave decay on asymptotically flat spacetimes. Commun. Math. Phys., 389(1):491–542, 2022. | DOI | Zbl

[25] Peter Hintz and András Vasy. The global non-linear stability of the Kerr-de Sitter family of black holes. Acta Math., 220(1):1–206, 2018. | DOI | Zbl

[26] Shahar Hod. Mode-coupling in rotating gravitational collapse of a scalar field. Physical Review D, 61(2):024033, 1999. | DOI

[27] Arne Jensen and Tosio Kato. Spectral properties of Schrödinger operators and time-decay of the wave functions. Duke Math. J., 46:583–611, 1979. | DOI | Zbl

[28] Bernard S. Kay and Robert M. Wald. Linear stability of Schwarzschild under perturbations which are non- vanishing on the bifurcation 2-sphere. Classical Quantum Gravity, 4:893–898, 1987. | DOI | Zbl

[29] Sergiu Klainerman and Jérémie Szeftel. Global nonlinear stability of Schwarzschild spacetime under polarized perturbations, volume 210 of Ann. Math. Stud. Princeton, NJ: Princeton University Press, 2020. | DOI | Zbl

[30] Sergiu Klainerman and Jeremie Szeftel. Kerr stability for small angular momentum, 2021. | arXiv

[31] Shi-Zhuo Looi. Decay rates for cubic and higher order nonlinear wave equations on asymptotically flat spacetimes, 2022. | arXiv

[32] Shi-Zhuo Looi. Pointwise decay for the energy-critical nonlinear wave equation, 2022. | arXiv

[33] Shi-Zhuo Looi. Pointwise decay for the wave equation on nonstationary spacetimes. Journal of Mathematical Analysis and Applications, page 126939, 2022. | DOI | Zbl

[34] Shi-Zhuo Looi and Haoren Xiong. Asymptotic expansions for semilinear waves on asymptotically flat spacetimes, 2024. | arXiv

[35] Jonathan Luk and Sung-Jin Oh. Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions, 2024. | arXiv

[36] Siyuan Ma. 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. Ann. Henri Poincaré, 21(3):815–863, 2020. | DOI | Zbl

[37] Siyuan Ma. 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. Commun. Math. Phys., 377(3):2489–2551, 2020. | DOI | Zbl

[38] Siyuan Ma and Lin Zhang. Sharp decay for Teukolsky equation in Kerr spacetimes, 2021. | arXiv

[39] Siyuan Ma and Lin Zhang. Price’s law for spin fields on a Schwarzschild background. Ann. PDE, 8(2):100, 2022. Id/No 25. | DOI | Zbl

[40] Siyuan Ma and Lin Zhang. Sharp decay estimates for massless Dirac fields on a Schwarzschild background. J. Funct. Anal., 282(6):112, 2022. Id/No 109375. | DOI | Zbl

[41] RB Melrose. Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces, 1994. | Zbl

[42] Richard Melrose. The Atiyah-Patodi-Singer index theorem. CRC Press, 1993. | DOI | Zbl

[43] Richard B. Melrose. Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces. In Spectral and scattering theory. Proceedings of the 30th Taniguchi international workshop, held at Sanda, Hyogo, Japan, pages 85–130. Marcel Dekker, 1994. | DOI | Zbl

[44] Jason Metcalfe, Daniel Tataru, and Mihai Tohaneanu. Price’s law on nonstationary space-times. Adv. Math., 230(3):995–1028, 2012. | DOI | Zbl

[45] Jason Metcalfe, Daniel Tataru, and Mihai Tohaneanu. Pointwise decay for the Maxwell field on black hole space-times. Adv. Math., 316:53–93, 2017. | DOI | Zbl

[46] Pascal Millet. Geometric background for the Teukolsky equation revisited, 2021. | arXiv

[47] Pascal Millet. Optimal decay for solutions of the Teukolsky equation on the Kerr metric for the full subextremal range $\left|a\right|<M$, 2023. | arXiv

[48] Katrina Morgan. The effect of metric behavior at spatial infinity on pointwise wave decay in the asymptotically flat stationary setting, 2020. | arXiv

[49] Katrina Morgan and Jared Wunsch. Generalized price’s law on fractional-order asymptotically flat stationary spacetimes, 2021. | arXiv

[50] Barrett O’Neill. The geometry of Kerr black holes. Courier Corporation, 2014.

[51] Richard H Price. Nonspherical perturbations of relativistic gravitational collapse. I. Scalar and gravitational perturbations. Physical Review D, 5(10):2419, 1972. | DOI

[52] Richard H Price. Nonspherical perturbations of relativistic gravitational collapse. II. Integer-spin, zero-rest-mass fields. Physical Review D, 5(10):2439, 1972. | DOI

[53] Richard H Price and Lior M Burko. Late time tails from momentarily stationary, compact initial data in Schwarzschild spacetimes. Physical Review D, 70(8):084039, 2004. | DOI

[54] Dawei Shen. Construction of GCM hypersurfaces in perturbations of Kerr, 2022. | arXiv

[55] Yakov Shlapentokh-Rothman and Rita Teixeira da Costa. Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $\left|a\right|<M$: frequency space analysis, 2020. | arXiv

[56] Yakov Shlapentokh-Rothman and Rita Teixeira da Costa. Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $\left|a\right|<M$: physical space analysis, 2023. | arXiv

[57] Daniel Tataru. Local decay of waves on asymptotically flat stationary space-times. Am. J. Math., 135(2):361–401, 2013. | DOI | Zbl

[58] Saul A Teukolsky. Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations. The Astrophysical Journal, 185:635–647, 1973. | DOI

[59] András Vasy. Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov). Invent. Math., 194(2):381–513, 2013. | DOI | Zbl

[60] András Vasy. Limiting absorption principle on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Commun. Partial Differ. Equations, 46(5):780–822, 2021. | DOI | Zbl

[61] András Vasy. Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces, a Lagrangian approach. Commun. Partial Differ. Equations, 46(5):823–863, 2021. | DOI | Zbl

[62] Robert M Wald. Note on the stability of the Schwarzschild metric. Journal of Mathematical Physics, 20(6):1056–1058, 1979. | DOI

[63] Bernard F. Whiting. Mode stability of the Kerr black hole. J. Math. Phys., 30(6):1301–1305, 1989. | DOI | Zbl

[64] Jared Wunsch and Maciej Zworski. Resolvent estimates for normally hyperbolic trapped sets. Ann. Henri Poincaré, 12(7):1349–1385, 2011. | DOI | Zbl