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Jacob Shapiro
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All published works
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Title
Year
Authors
+
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Resolvent bounds for repulsive potentials
2025
AndrĂ©s LarraĂn-Hubach
Yulong Li
Jacob Shapiro
Joseph Tiller
+
Semiclassical estimates for measure potentials on the real line
2024
AndrĂ©s LarraĂn-Hubach
Jacob Shapiro
+
Semiclassical resolvent bounds for short range L â potentials with singularities at the origin
2023
Jacob Shapiro
+
PDF
Chat
Exponential timeâdecay for a oneâdimensional wave equation with coefficients of bounded variation
2023
Kiril Datchev
Jacob Shapiro
+
PDF
Chat
Semiclassical resolvent bounds for compactly supported radial potentials
2022
Kiril Datchev
Jeffrey Galkowski
Jacob Shapiro
+
PDF
Chat
Semiclassical resolvent bounds for weakly decaying potentials
2022
Jeffrey Galkowski
Jacob Shapiro
+
PDF
Chat
Semiclassical Resolvent Bounds for Long-Range Lipschitz Potentials
2021
Jeffrey Galkowski
Jacob Shapiro
+
On the interaction of metric trapping and a boundary
2021
Kiril Datchev
Jason Metcalfe
Jacob Shapiro
Mihai Tohaneanu
+
Semiclassical resolvent bounds for long range Lipschitz potentials
2020
Jeffrey Galkowski
Jacob Shapiro
+
On the interaction of metric trapping and a boundary
2020
Kiril Datchev
Jason Metcalfe
Jacob Shapiro
Mihai Tohaneanu
+
Semiclassical resolvent bound for compactly supporte $L^\infty$ potentials
2020
Jacob Shapiro
+
PDF
Chat
Semiclassical Estimates for Scattering on the Real Line
2019
Kiril Datchev
Jacob Shapiro
+
PDF
Chat
Semiclassical resolvent bounds in dimension two
2018
Jacob Shapiro
+
PDF
Chat
Local energy decay for Lipschitz wavespeeds
2018
Jacob Shapiro
+
Semiclassical resolvent bound for compactly supported $L^\infty$ potentials
2018
Jacob Shapiro
+
Semiclassical Resolvent Estimates and Wave Decay in Low Regularity
2018
Jacob Shapiro
+
Local energy decay for Lipschitz wavespeeds.
2017
Jacob Shapiro
+
Semiclassical resolvent bounds in dimension two
2016
Jacob Shapiro
Common Coauthors
Coauthor
Papers Together
Kiril Datchev
5
Jeffrey Galkowski
4
AndrĂ©s LarraĂn-Hubach
2
Mihai Tohaneanu
2
Jason Metcalfe
2
Yulong Li
1
Joseph Tiller
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
PDF
Chat
Décroissance de l'énergie locale de l'équation des ondes pour le problÚme extérieur et absence de résonance au voisinage du réel
1998
Nicolas Burq
13
+
Semiâclassical resolvent estimates and regions free of resonances
2013
Georgi Vodev
12
+
PDF
Chat
Quantitative Limiting Absorption Principle in the Semiclassical Limit
2014
Kiril Datchev
11
+
Lower bounds for shape resonances widths of long range Schrödinger operators
2002
Nicolas Burq
9
+
PDF
Chat
Uniform Estimates of the Resolvent of the Laplace-Beltrami Operator on Infinite Volume Riemannian Manifolds. II
2002
F. F. Cardoso
Georgi Vodev
9
+
PDF
Chat
Resonances and lower resolvent bounds
2015
Kiril Datchev
Semyon Dyatlov
Maciej Zworski
7
+
PDF
Chat
Semiclassical resolvent bounds in dimension two
2018
Jacob Shapiro
7
+
PDF
Chat
Iterative reconstruction of the wave speed for the wave equation with bounded frequency boundary data
2016
Kiril Datchev
Maarten V. de Hoop
7
+
Semiclassical resolvent estimates for short-range Lâ potentials
2019
Georgi Vodev
6
+
PDF
Chat
Semiclassical Estimates for Scattering on the Real Line
2019
Kiril Datchev
Jacob Shapiro
6
+
PDF
Chat
Effective Limiting Absorption Principles, and Applications
2014
Igor Rodnianski
Terence Tao
6
+
PDF
Chat
Local energy decay for Lipschitz wavespeeds
2018
Jacob Shapiro
6
+
PDF
Chat
Low Frequency Estimates and Local Energy Decay for Asymptotically Euclidean Laplacians
2011
JeanâMarc Bouclet
5
+
Semiclassical Resolvent Estimates for $$L^\infty $$ Potentials on Riemannian Manifolds
2019
Georgi Vodev
5
+
PDF
Chat
Resolvent estimates for spacetimes bounded by Killing horizons
2018
Oran Gannot
5
+
Semiclassical resolvent estimates for short-range L â potentials. II
2019
Georgi Vodev
5
+
PDF
Chat
Exponential lower resolvent bounds far away from trapped sets
2020
Kiril Datchev
Long Jin
4
+
Semiclassical resolvent bound for compactly supporte $L^\infty$ potentials
2020
Jacob Shapiro
4
+
PDF
Chat
Logarithmic Local Energy Decay for Scalar Waves on a General Class of Asymptotically Flat Spacetimes
2016
Georgios Moschidis
4
+
PDF
Chat
Semiclassical resolvent estimates for Hölder potentials
2020
Georgi Vodev
4
+
Carleman estimates and distribution of resonances for the transparent obstacle and application to the stabilization
2003
Mourad Bellassoued
4
+
PDF
Chat
High Frequency Resolvent Estimates and Energy Decay of Solutions to the Wave Equation
2004
F. F. Cardoso
Georgi Vodev
4
+
PDF
Chat
Quasimodes and a lower bound on the uniform energy decay rate for KerrâAdS spacetimes
2014
Gustav Holzegel
Jacques Smulevici
3
+
PDF
Chat
Exponential bounds of the resolvent for a class of noncompactly supported perturbations of the Laplacian
2000
Georgi Vodev
3
+
PDF
Chat
A sharp lower bound for a resonance-counting function in even dimensions
2017
T. J. Christiansen
3
+
PDF
Chat
Semiclassical Resolvent Bounds for Long-Range Lipschitz Potentials
2021
Jeffrey Galkowski
Jacob Shapiro
3
+
PDF
Chat
Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations
2008
Jeremy L. Marzuola
Jason Metcalfe
Daniel Tataru
3
+
Semi-classical resolvent estimates for short-range l $\infty$ potentials. II
2019
Georgi Vodev
2
+
Partial Differential Equations
2010
Lawrence Evans
2
+
PDF
Chat
Local smoothing for the Schrödinger equation with a prescribed loss
2013
Hans Christianson
Jared Wunsch
2
+
PDF
Chat
Complex scaling and the distribution of scattering poles
1991
Johannes Sjöstrand
Maciej Zworski
2
+
Feynman Integrals and the Schrödinger Equation
1964
Edward Nelson
2
+
Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
2006
Jason Metcalfe
Christopher D. Sogge
2
+
Distribution of the resonances and local energy decay in the transmission problem
1999
Georgi Popov
Georgi Vodev
2
+
PDF
Chat
Decay of solutions of the wave equation in the exterior of several convex bodies
1988
Mitsuru Ikawa
2
+
Time decay for the nonlinear Klein-Gordon equation
1968
Cathleen S. Morawetz
2
+
Exponential decay of solutions of the wave equation
1966
Cathleen S. Morawetz
2
+
PDF
Chat
Strichartz Estimates on Schwarzschild Black Hole Backgrounds
2009
Jeremy L. Marzuola
Jason Metcalfe
Daniel Tataru
Mihai Tohaneanu
2
+
Trapped rays in spherically symmetric media and poles of the scattering matrix
1971
James Ralston
2
+
Semi-classical estimates for resolvents and asymptotics for total scattering cross-sections
1987
Didier Robert
Hideo Tamura
2
+
PDF
Chat
Slowly decaying waves on spherically symmetric spacetimes and ultracompact neutron stars
2016
Joseph Keir
2
+
PDF
Chat
Strichartz estimates for long range perturbations
2007
JeanâMarc Bouclet
Nikolay Tzvetkov
2
+
PDF
Chat
Localized energy for wave equations with degenerate trapping
2019
R Booth
Hans Christianson
Jason Metcalfe
Jacob Perry
2
+
PDF
Chat
Semiclassical resolvent bounds for weakly decaying potentials
2022
Jeffrey Galkowski
Jacob Shapiro
2
+
PDF
Chat
Local energy decay for scalar fields on time dependent non-trapping backgrounds
2020
Jason Metcalfe
Jacob Sterbenz
Daniel Tataru
2
+
PDF
Chat
Semiclassical resolvent estimates for bounded potentials
2018
Frédéric Klopp
Martin Vogel
2
+
PDF
Chat
Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes
2015
Jan Sbierski
2
+
PDF
Chat
Improved resolvent bounds for radial potentials
2021
Georgi Vodev
2
+
PDF
Chat
Improved resolvent bounds for radial potentials. II
2022
Georgi Vodev
2
+
PDF
Chat
Mathematical study of scattering resonances
2017
Maciej Zworski
1