Fetching the paper…
Reading the bibliography…
In this paper we develop a general, systematic, microlocal framework for the Fredholm analysis of non-elliptic problems, including high energy (or semiclassical) estimates, which is stable under perturbations.
Global structure of the kerr family of gravitational fields
B. Carter · 1968
Earlier work this paper cites.
Note on the stability of the Schwarzschild metric
Robert M. Wald · 1979
Earlier work this paper cites.
Radiation fields and hyperbolic scattering theory
F. G. Friedlander · 1980
Earlier work this paper cites.
The analysis of linear partial differential operators,
L. Hörmander · 1983
Earlier work this paper cites.
Conformal invariants
Charles Fefferman and C. Robin Graham · 1984
Earlier work this paper cites.
Linear stability of Schwarzschild under perturbations which are nonvanishing on the bifurcation 2 2 -sphere
Bernard S. Kay and Robert M. Wald · 1987
Earlier work this paper cites.
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
R. Mazzeo and R. B. Melrose · 1987
Earlier work this paper cites.
Pseudodifferential operators and spectral theory
M. A. Shubin · 1987
Earlier work this paper cites.
On the Hawking effect in de Sitter space
D. Polarski · 1989
Earlier work this paper cites.
Elliptic theory of differential edge operators. I
Rafe Mazzeo · 1991
Earlier work this paper cites.
The global nonlinear stability of the Minkowski space
Demetrios Christodoulou and Sergiu Klainerman · 1993
Earlier work this paper cites.
The Atiyah-Patodi-Singer index theorem
Richard B. Melrose · 1993
Earlier work this paper cites.
Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces
R. B. Melrose · 1994
Earlier work this paper cites.
Partial differential equations
Michael E. Taylor · 1996
Earlier work this paper cites.
Distribution of resonances for spherical black holes
Antônio Sá Barreto and Maciej Zworski · 1997
Earlier work this paper cites.
Spectral asymptotics in the semi-classical limit
Mouez Dimassi and Johannes Sjöstrand · 1999
Earlier work this paper cites.
Propagation of singularities in three-body scattering
A. Vasy · 2000
Earlier work this paper cites.
Semiclassical estimates in asymptotically Euclidean scattering
A. Vasy and M. Zworski · 2000
Earlier work this paper cites.
Scattering poles for asymptotically hyperbolic manifolds
David Borthwick and Peter Perry · 2002
Earlier work this paper cites.
Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II
F. Cardoso and G. Vodev · 2002
Earlier work this paper cites.
Scattering matrix in conformal geometry
C. Robin Graham and Maciej Zworski · 2003
Cited alongside, same era.
Spectral and scattering theory for symbolic potentials of order zero
A. Hassell, R. B. Melrose, and A. Vasy · 2004
Cited alongside, same era.
Local energy decay of solutions to the wave equation for nontrapping metrics
Georgi Vodev · 2004
Cited alongside, same era.
A proof of Price’s law for the collapse of a self-gravitating scalar field
Mihalis Dafermos and Igor Rodnianski · 2005
Cited alongside, same era.
Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds
Colin Guillarmou · 2005
Cited alongside, same era.
Global existence for the Einstein vacuum equations in wave coordinates
Hans Lindblad and Igor Rodnianski · 2005
Cited alongside, same era.
Quantum decay rates in chaotic scattering
Stéphane Nonnenmacher and Maciej Zworski · 2009
Later among the works it cites.
Local decay of waves on asymptotically flat stationary spacetimes
Daniel Tataru · 2009
Later among the works it cites.
Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime
Karen Yagdjian and Anahit Galstian · 2009
Later among the works it cites.
A parametrix for the fundamental solution of the Klein-Gordon equation on asymptotically de Sitter spaces
Dean Baskin · 2010
Closest in time.
The black hole stability problem for linear scalar perturbations
Mihalis Dafermos and Igor Rodnianski · 2010
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
The radiation field is a Fourier integral operator
Antônio Sá Barreto and Jared Wunsch · 2005
Cited alongside, same era.
Decay of solutions of the wave equation in the Kerr geometry
F. Finster, N. Kamran, J. Smoller, and S.-T. Yau · 2006
Cited alongside, same era.
The wave equation on Schwarzschild-de Sitter space times
Mihalis Dafermos and Igor Rodnianski · 2007
Cited alongside, same era.
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
Cited alongside, same era.
Microlocal propagation near radial points and scattering for symbolic potentials of order zero
A. Hassell, R. B. Melrose, and A. Vasy · 2008
Cited alongside, same era.
Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space
R. B. Melrose, A. Sá Barreto, and A. Vasy · 2008
Cited alongside, same era.
Mihalis Dafermos and Igor Rodnianski · 2010
Closest in time.
Gluing semiclassical resolvent estimates via propagation of singularities
K. Datchev and A. Vasy · 2010
Closest in time.
Propagation through trapped sets and semiclassical resolvent estimates
K. Datchev and A. Vasy · 2010
Closest in time.
Exponential energy decay for Kerr-de Sitter black holes beyond event horizons
Semyon Dyatlov · 2010
Closest in time.
Quasi-normal modes and exponential energy decay for the Kerr-de Sitter black hole
Semyon Dyatlov · 2010
Closest in time.
Lectures on semiclassical analysis
Lawrence C. Evans and Maciej Zworski · 2010
Closest in time.
Resolvent at low energy III: The spectral measure
C. Guillarmou, A. Hassell, and A. Sikora · 2010
Closest in time.
The global stability of Minkowski space-time in harmonic gauge
Hans Lindblad and Igor Rodnianski · 2010
Closest in time.
Strichartz estimates on Schwarzschild black hole backgrounds
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru, and Mihai Tohaneanu · 2010
Closest in time.
The wave equation on asymptotically de Sitter-like spaces
A. Vasy · 2010
Closest in time.
Radiation field for vacuum Einstein equation
F. Wang · 2010
Closest in time.
Resolvent estimates for normally hyperbolic trapped sets
J. Wunsch and M. Zworski · 2010
Closest in time.
Propagation of singularities around a Lagrangian submanifold of radial points
N. Haber and A. Vasy, · 2011
Closest in time.
Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces
R. B. Melrose, A. Sá Barreto, and A. Vasy · 2011
Closest in time.
Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates
A. Vasy · 2011
Closest in time.