Hans Christianson

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All published works

Action	Title	Year	Authors
+ PDF Chat	Small-scale mass estimates for Laplace eigenfunctions on compact $C^{2}$ manifolds with boundary	2024	Hans Christianson John A. Toth
+ PDF Chat	Energy distribution for Dirichlet eigenfunctions on right triangles	2024	Hans Christianson Daniel Pezzi
+ PDF Chat	Quantum Flux and Quantum Ergodicity for Cross Sections	2024	Hans Christianson John A. Toth
+ PDF Chat	Control Estimates for 0th-Order Pseudodifferential Operators	2023	Hans Christianson Jian Wang Ruoyu Wang
+	Energy Distribution for Dirichlet Eigenfunctions on Right Triangles	2023	Hans Christianson Daniel Pezzi
+	Control estimates for 0th order pseudodifferential operators	2023	Hans Christianson Jian Wang Ruoyu Wang
+	Small-scale mass estimates for Neumann eigenfunctions: piecewise smooth planar domains	2023	Hans Christianson John A. Toth
+ PDF Chat	Local smoothing for the Schrödinger equation on a multi-warped product manifold with inflection-transmission trapping	2021	Hans Christianson Derrick Nowak
+	Local Smoothing for the Schr\"odinger Equation on a Multi-Warped Product Manifold with Inflection-Transmission Trapping	2020	Hans Christianson Derrick Nowak
+	Asymptotic Boundary Observability For The Wave Equation On Simplices	2020	Hans Christianson Zi-Qing Lu
+	Asymptotic Boundary Observability for the Schrödinger Equation on Simplices	2020	Sarah Carpenter Hans Christianson
+	Non-concentration and restriction bounds for Neumann eigenfunctions of piecewise $C^{\infty}$ bounded planar domains	2020	Hans Christianson John A. Toth
+	Conformal Perturbations and Local Smoothing	2020	Hans Christianson Dylan Muckerman
+	Local Smoothing for the Schrödinger Equation on a Multi-Warped Product Manifold with Inflection-Transmission Trapping	2020	Hans Christianson Derrick Nowak
+ PDF Chat	Asymptotic Boundary Observability for the Wave Equation on One Side of a Planar Triangle	2019	Hans Christianson Evan Stafford
+	Neumann Data Mass on Perturbed Triangles	2019	Hans Christianson Jin Xi
+ PDF Chat	Localized energy for wave equations with degenerate trapping	2019	R Booth Hans Christianson Jason Metcalfe Jacob Perry
+ PDF Chat	Equidistribution of Neumann data mass on simplices and a simple inverse problem	2019	Hans Christianson
+ PDF Chat	High-frequency resolvent estimates on asymptotically Euclidean warped products	2018	Hans Christianson
+	A one point non-concentration estimate for Laplace eigenfunctions on polygons	2018	Hans Christianson
+	Localized energy for wave equations with degenerate trapping	2017	R Booth Hans Christianson Jason Metcalfe Jacob Perry
+	VARIATIONS ON A THEME : THE POSITIVE COMMUTATOR IN SPECTRAL GEOMETRY (Spectral and Scattering Theory and Related Topics)	2017	Hans Christianson
+	Equidistribution of Neumann data mass on simplices and a simple inverse problem	2017	Hans Christianson
+	Equidistribution of Neumann data mass on triangles	2017	Hans Christianson
+	Equidistribution of Neumann data mass on triangles	2017	Hans Christianson
+	Equidistribution of Neumann data mass on triangles	2017	Hans Christianson
+ PDF Chat	Equidistribution of Neumann data mass on triangles	2017	Hans Christianson
+	Equidistribution of Neumann data mass on simplices and a simple inverse problem	2017	Hans Christianson
+	Localized energy for wave equations with degenerate trapping	2017	Robert E. Booth Hans Christianson Jason Metcalfe Jacob L. Perry
+ PDF Chat	Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods	2015	Hans Christianson
+ PDF Chat	Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods	2015	Hans Christianson
+ PDF Chat	Imperfect Geometric Control and Overdamping for The Damped Wave Equation	2014	Nicolas Burq Hans Christianson
+ PDF Chat	A Non-Concentration Estimate for Partially Rectangular Billiards	2014	Hans Christianson
+ PDF Chat	From resolvent estimates to damped waves	2014	Hans Christianson Emmanuel Schenck András Vasy Jared Wunsch
+ PDF Chat	Exterior Mass Estimates and L2-Restriction Bounds for Neumann Data Along Hypersurfaces	2014	Hans Christianson Andrew Hassell Juraj Tóth
+	Local Smoothing Estimates near a Trapped Set with Infinitely Many Connected Components	2014	Hans Christianson Dylan Muckerman
+ PDF Chat	Exterior Mass Estimates and L2-Restriction Bounds for Neumann Data Along Hypersurfaces	2014	Hans Christianson Andrew Hassell Juraj Tóth
+ PDF Chat	Sharp local smoothing for manifolds with smooth inflection transmission	2014	Hans Christianson Jason Metcalfe
+ PDF Chat	Sharp Local Smoothing for Warped Product Manifolds with Smooth Inflection Transmission	2014	Hans Christianson Jason Metcalfe
+ PDF Chat	From resolvent estimates to damped waves	2014	Hans Christianson Emmanuel Schenck András Vasy Jared Wunsch
+ PDF Chat	Local smoothing for the Schrödinger equation with a prescribed loss	2013	Hans Christianson Jared Wunsch
+ PDF Chat	Near Sharp Strichartz Estimates with Loss in the Presence of Degenerate Hyperbolic Trapping	2013	Hans Christianson
+ PDF Chat	Nonlinear Bound States on Weakly Homogeneous Spaces	2013	Hans Christianson Jeremy L. Marzuola Jason Metcalfe Michael E. Taylor
+	Imperfect geometric control and overdamping for the damped wave equation	2013	Nicolas Burq Hans Christianson
+	A non-concentration estimate for partially rectangular billiards	2013	Hans Christianson
+	Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods	2013	Hans Christianson
+	High-frequency resolvent estimates on asymptotically Euclidean warped products	2013	Hans Christianson
+	Semiclassical Control and $L^2$ restriction bounds for Neumann data along hypersurfaces	2013	Hans Christianson Andrew Hassell John A. Toth
+	Sharp local smoothing for manifolds with smooth inflection transmission	2013	Hans Christianson Jason Metcalfe
+ PDF Chat	Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE	2013	Hans Christianson John A. Toth Steve Zelditch
+	High-frequency resolvent estimates on asymptotically Euclidean warped products	2013	Hans Christianson
+	Sharp local smoothing for manifolds with smooth inflection transmission	2013	Hans Christianson Jason Metcalfe
+	Unique Continuation for Quasimodes on Surfaces of Revolution: Rotationally invariant Neighbourhoods	2013	Hans Christianson
+	Imperfect geometric control and overdamping for the damped wave equation	2013	Nicolas Burq Hans Christianson
+ PDF Chat	Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE	2013	Hans Christianson John A. Toth Steve Zelditch
+	A non-concentration estimate for partially rectangular billiards	2013	Hans Christianson
+ PDF Chat	Local smoothing for the Schrödinger equation with a prescribed loss	2013	Hans Christianson Jared Wunsch
+	Exterior mass estimates and $L^2$ restriction bounds for Neumann data along hypersurfaces	2013	Hans Christianson Andrew Hassell John A. Toth
+ PDF Chat	Near Sharp Strichartz Estimates with Loss in the Presence of Degenerate Hyperbolic Trapping	2013	Hans Christianson
+	Local Smoothing with a Prescribed Loss for the Schrödinger Equation	2012	Hans Christianson Jared Wunsch
+	From resolvent estimates to damped waves	2012	Hans Christianson Emmanuel Schenck András Vasy Jared Wunsch
+	Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE	2012	Hans Christianson John A. Toth Steve Zelditch
+	Nonlinear bound states on weakly homogeneous spaces	2012	Hans Christianson Jeremy L. Marzuola Jason Metcalfe Michael E. Taylor
+	From resolvent estimates to damped waves	2012	Hans Christianson Emmanuel Schenck András Vasy Jared Wunsch
+ PDF Chat	Construction of nonlinear quasimodes near elliptic periodic orbits	2012	Pierre Albin Hans Christianson Jeremy L. Marzuola Laurent Thomann
+	Nonlinear bound states on weakly homogeneous spaces	2012	Hans Christianson Jeremy L. Marzuola Jason Metcalfe Michael D. Taylor
+	Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE	2012	Hans Christianson John A. Toth Steve Zelditch
+ PDF Chat	Construction of nonlinear quasimodes near elliptic periodic orbits	2011	Pierre Albin Hans Christianson Jeremy L. Marzuola Laurent Thomann
+	Local smoothing for the Schr\"odinger equation with a prescribed loss	2011	Hans Christianson Jared Wunsch
+ PDF Chat	Random Walk on Surfaces with Hyperbolic Cusps	2011	Hans Christianson Colin Guillarmou Laurent Michel
+ PDF Chat	Quantum Monodromy and nonconcentration near a closed semi-hyperbolic orbit	2011	Hans Christianson
+	Nonlinear quasimodes near elliptic periodic geodesics	2011	Pierre Albin Hans Christianson Jeremy L. Marzuola Laurent Thomann
+	Local smoothing for the Schrödinger equation with a prescribed loss	2011	Hans Christianson Jared Wunsch
+ PDF Chat	Strichartz Estimates for the Water-Wave Problem with Surface Tension	2010	Hans Christianson Vera Mikyoung Hur Gigliola Staffilani
+ PDF Chat	Classification of order preserving isomorphisms between algebras of semiclassical operators	2010	Hans Christianson
+ PDF Chat	Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space	2009	Hans Christianson Jeremy L. Marzuola
+	Corrigendum to “Semiclassical non-concentration near hyperbolic orbits” [J. Funct. Anal. 246 (2) (2007) 145–195]	2009	Hans Christianson
+ PDF Chat	Local smoothing effects for the water-wave problem with surface tension	2009	Hans Christianson Vera Mikyoung Hur Gigliola Staffilani
+	THE WATER-WAVE PROBLEM WITH SURFACE TENSION	2009	Hans Christianson Vera Mikyoung Hur Gigliola Staffilani
+	Strichartz estimates for the water-wave problem with surface tension	2009	Hans Christianson Vera Mikyoung Hur Gigliola Staffilani
+ PDF Chat	Applications of Cutoff Resolvent Estimates to the Wave Equation	2009	Hans Christianson
+ PDF Chat	Dispersive Estimates for Manifolds with One Trapped Orbit	2008	Hans Christianson
+ PDF Chat	Cutoff resolvent estimates and the semilinear Schrödinger equation	2008	Hans Christianson
+	Isomorphisms between Algebras of Semiclassical Pseudodifferential Operators	2008	Hans Christianson
+	Local smoothing effects for the water-wave problem with surface tension	2008	Hans Christianson Vera Mikyoung Hur Gigliola Staffilani
+	Quantum Monodromy and Non-concentration near a Closed Semi-Hyperbolic Orbit	2008	Hans Christianson
+	Semiclassical non-concentration near hyperbolic orbits	2007	Hans Christianson
+ PDF Chat	Growth and Zeros of the Zeta Function for Hyperbolic Rational Maps	2007	Hans Christianson
+	Applications of Cutoff Resolvent Estimates to the Wave Equation	2007	Hans Christianson
+	Cutoff Resolvent Estimates and the Semilinear Schrödinger Equation	2007	Hans Christianson
+	The Colin de Verdière Graph Parameter for Threshold Graphs	2006	Hans Christianson Felix Goldberg
+	Dispersive Estimates for Manifolds with one Trapped Orbit	2006	Hans Christianson
+	Growth and Zeros of the Zeta Function for Hyperbolic Rational Maps	2004	Hans Christianson
+ PDF Chat	On correlations of CM-type Maass waveforms under the horocyclic flow	2003	Dennis A. Hejhal Hans Christianson
+	The critical group of a threshold graph	2002	Hans Christianson Victor Reiner

Common Coauthors

Coauthor	Papers Together
John A. Toth	10
Jason Metcalfe	10
Jared Wunsch	9
Jeremy L. Marzuola	7
Vera Mikyoung Hur	5
Gigliola Staffilani	5
Emmanuel Schenck	4
Steve Zelditch	4
Andrew Hassell	4
András Vasy	4
Nicolas Burq	3
Pierre Albin	3
Derrick Nowak	3
Laurent Thomann	3
Michael E. Taylor	2
Ruoyu Wang	2
Juraj Tóth	2
Daniel Pezzi	2
Jian Wang	2
Dylan Muckerman	2
Jacob Perry	2
R Booth	2
Sarah Carpenter	1
Victor Reiner	1
Jacob L. Perry	1
Colin Guillarmou	1
Jin Xi	1
Evan Stafford	1
Laurent Michel	1
Dennis A. Hejhal	1
Michael D. Taylor	1
Zi-Qing Lu	1
Robert E. Booth	1
Felix Goldberg	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Semiclassical non-concentration near hyperbolic orbits	2007	Hans Christianson	35
+ PDF Chat	Dispersive Estimates for Manifolds with One Trapped Orbit	2008	Hans Christianson	25
+ PDF Chat	Quantum Monodromy and nonconcentration near a closed semi-hyperbolic orbit	2011	Hans Christianson	25
+ PDF Chat	Geometric control in the presence of a black box	2004	Nicolas Burq Maciej Zworski	21
+	Quantum monodromy and semi-classical trace formulæ	2002	Johannes Sjöstrand Maciej Zworski	12
+ PDF Chat	Local smoothing properties of dispersive equations	1988	Peter Constantin Jean‐Claude Saut	11
+ PDF Chat	Gluing Semiclassical Resolvent Estimates via Propagation of Singularities	2012	Kiril Datchev András Vasy	10
+ PDF Chat	Schrödinger equations: pointwise convergence to the initial data	1988	Luis Vega	10
+	The analysis of linear partial differential operators	1990	Lars Hörmander	10
+ PDF Chat	Fractal upper bounds on the density of semiclassical resonances	2007	Johannes Sjöstrand Maciej Zworski	10
+	Regularity of solutions to the Schrödinger equation	1987	Per Sjölin	9
+	Smoothing effect for Schrödinger boundary value problems	2002	Nicolas Burq	9
+ PDF Chat	Quantum Ergodic Restriction Theorems. I: Interior Hypersurfaces in Domains with Ergodic Billiards	2011	John A. Toth Steve Zelditch	9
+	Quantum Ergodic Restriction Theorems: Manifolds Without Boundary	2013	John A. Toth Steve Zelditch	9
+ PDF Chat	Local smoothing for the Schrödinger equation with a prescribed loss	2013	Hans Christianson Jared Wunsch	9
+ PDF Chat	Local Smoothing for Scattering Manifolds with Hyperbolic Trapped Sets	2008	Kiril Datchev	9
+ PDF Chat	Quantum Ergodicity of Boundary Values of Eigenfunctions	2004	Andrew Hassell Steve Zelditch	9
+	Smoothing effects of Schrödinger evolution groups on Riemannian manifolds	1996	Shin-ichi Doi	9
+	Smoothing effect for Schrödinger equations	2004	Nicolas Burq	8
+	High-frequency resolvent estimates on asymptotically Euclidean warped products	2013	Hans Christianson	8
+ PDF Chat	Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds	2007	Nicolas Burq Patrick Gérard Nikolay Tzvetkov	8
+	Corrigendum to “Semiclassical non-concentration near hyperbolic orbits” [J. Funct. Anal. 246 (2) (2007) 145–195]	2009	Hans Christianson	8
+	Equidistribution of Neumann data mass on triangles	2017	Hans Christianson	8
+	Local smoothing for the Schr\"odinger equation with a prescribed loss	2011	Hans Christianson Jared Wunsch	7
+ PDF Chat	Quantum ergodic restriction for Cauchy data: Interior QUE and restricted QUE	2013	Hans Christianson John A. Toth Steve Zelditch	7
+	Ergodic properties of eigenfunctions for the Dirichlet problem	1993	Patrick Gérard Éric Leichtnam	7
+ PDF Chat	Resolvent Estimates for Normally Hyperbolic Trapped Sets	2011	Jared Wunsch Maciej Zworski	7
+	Equation des Ondes Amorties	1996	Gilles Lebeau	7
+	Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds	2004	Nicolas Burq Patrick Gérard Nikolay Tzvetkov	6
+	Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary	1992	Claude Bardos Gilles Lebeau Jeffrey Rauch	6
+ PDF Chat	Equidistribution of Neumann data mass on simplices and a simple inverse problem	2019	Hans Christianson	6
+	Decay of solutions to nondissipative hyperbolic systems on compact manifolds	1975	Jeffrey Rauch Michael E. Taylor	6
+	Spectral Asymptotics in the Semi-Classical Limit	1999	Mouez Dimassi Johannes Sjöstrand	6
+ PDF Chat	Decay of solutions of the wave equation in the exterior of several convex bodies	1988	Mitsuru Ikawa	6
+ PDF Chat	Complex scaling and the distribution of scattering poles	1991	Johannes Sjöstrand Maciej Zworski	6
+	Well-posedness of the free-surface incompressible Euler equations with or without surface tension	2007	Daniel Coutand Steve Shkoller	5
+ PDF Chat	On the motion of the free surface of a liquid	2000	Demetrios Christodoulou Hans Lindblad	5
+ PDF Chat	EIGENFREQUENCIES AND EXPANSIONS FOR DAMPED WAVE EQUATIONS	2003	Michael Hitrik	5
+	Growth rates for the linearized motion of fluid interfaces away from equilibrium	1993	J. Thomas Beale Thomas Y. Hou John Lowengrub	5
+	The decay of solutions of the exterior initial‐boundary value problem for the wave equation	1961	Cathleen S. Morawetz	5
+ PDF Chat	Well-posedness in Sobolev spaces of the full water wave problem in 2-D	1997	Sijue Wu	5
+	The zero surface tension limit of three-dimensional water waves	2009	David M. Ambrose Nader Masmoudi	5
+ PDF Chat	Well-posedness for the motion of an incompressible liquid with free surface boundary	2005	Hans Lindblad	5
+	Trapped rays in spherically symmetric media and poles of the scattering matrix	1971	James Ralston	5
+ PDF Chat	Imperfect Geometric Control and Overdamping for The Damped Wave Equation	2014	Nicolas Burq Hans Christianson	5
+ PDF Chat	Well-posedness in Sobolev spaces of the full water wave problem in 3-D	1999	Sijue Wu	5
+ PDF Chat	The zero surface tension limit two‐dimensional water waves	2005	David A. Ambrose Nader Masmoudi	5
+	An existence theory for water waves and the boussinesq and korteweg-devries scaling limits	1985	Walter Craig	5
+	Well-Posedness of Vortex Sheets with Surface Tension	2003	David M. Ambrose	5
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander	5