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We give resolvent estimates near zero energy on Riemannian scattering, i.e.
Stability of a Schwarzschild Singularity
Tullio Regge and John A. Wheeler · 1957
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Résolution d’équations aux dérivées partielles dans des espaces de distributions d’ordre de régularité variable
André Unterberger · 1971
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On Carleman estimates for pseudo-differential operators
J. J. Duistermaat · 1972
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Spectral properties of Schrödinger operators and time-decay of the wave functions
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Lagrangian intersection and the Cauchy problem
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Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
Jean-Michel Bony · 1981
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Oscillatory integrals with singular symbols
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Semiclassical estimates for resolvents and asymptotics for total scattering cross-sections
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Time-decay of scattering solutions and classical trajectories
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Principe d’absorption limite pour des opérateurs de Schrödinger à longue portées
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B. Helffer and J. Sjöstrand · 1989
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Mode stability of the Kerr black hole
Bernard F. Whiting · 1989
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Semiclassical resolvent estimates for two and three body Schrödinger operators
C. Gérard · 1990
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Complex scaling and the distribution of scattering poles
Johannes Sjöstrand and Maciej Zworski · 1991
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The Atiyah-Patodi-Singer index theorem
Richard B. Melrose · 1993
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Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces
R. B. Melrose · 1994
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Symbolic functional calculus and N-body resolvent estimates
A. Hassell and A. Vasy · 2000
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Semiclassical estimates in asymptotically Euclidean scattering
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Fractal upper bounds on the density of semiclassical resonances
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Decay and non-decay of the local energy for the wave equation on the de Sitter-Schwarzschild metric
Jean-François Bony and Dietrich Häfner · 2008
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Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I
Colin Guillarmou and Andrew Hassell · 2008
Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces
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The theory of Hahn-meromorphic functions, a holomorphic Fredholm theorem, and its applications
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Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior
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Asymptotics of radiation fields in asymptotically Minkowski space
Dean Baskin, András Vasy, and Jared Wunsch · 2015
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Diffraction from conormal singularities
Maarten de Hoop, Gunther Uhlmann, and András Vasy · 2015
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Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes
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Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II
Colin Guillarmou and Andrew Hassell · 2009
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Semiclassical second microlocal propagation of regularity and integrable systems
A. Vasy and J. Wunsch · 2009
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Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian
Jean-François Bony and Dietrich Häfner · 2010
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Mihalis Dafermos and Igor Rodnianski · 2010
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Positive commutators at the bottom of the spectrum
A. Vasy and J. Wunsch · 2010
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Upper bound on the density of Ruelle resonances for Anosov flows
Frédéric Faure and Johannes Sjöstrand · 2011
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Peter Hintz and András Vasy · 2015
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Effective limiting absorption principles, and applications
Igor Rodnianski and Terence Tao · 2015
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Quantitative mode stability for the wave equation on the Kerr spacetime
Yakov Shlapentokh-Rothman · 2015
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The linear stability of the Schwarzschild solution to gravitational perturbations
Mihalis Dafermos, Gustav Holzegel, and Igor Rodnianski · 2016
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Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case | a | < M |a|<M
Mihalis Dafermos, Igor Rodnianski, and Yakov Shlapentokh-Rothman · 2016
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Dynamical zeta functions for Anosov flows via microlocal analysis
Semyon Dyatlov and Maciej Zworski · 2016
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Linear stability of Schwarzschild spacetime: The Cauchy problem of metric coefficients
Pei-Ken Hung, Jordan Keller, and Mu-Tao Wang · 2017
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On the positivity of propagator differences
András Vasy · 2017
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The global non-linear stability of the Kerr–de Sitter family of black holes
P. Hintz and A. Vasy · 2018
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A minicourse on microlocal analysis for wave propagation
András Vasy · 2018
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