Singularities of solutions to the Schrödinger equation on scattering manifold

Kenichi Ito, Shu Nakamura

Type: Article

Publication Date: 2009-12-01

Citations: 13

DOI: https://doi.org/10.1353/ajm.0.0087

View Publication

Locations

American Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Singularities of solutions to Schrodinger equation on scattering manifold	2007	Kenichi Ito Shu Nakamura
+	Schrodinger equations on scattering manifolds and microlocal singularities	2008	健一伊藤
+	Propagation of singularities under Schrödinger equations on manifolds with ends	2022	Shota Fukushima
+	MICROLOCAL SINGULARITIES AND SCATTERING THEORY FOR SCHRÖDINGER EQUATIONS ON MANIFOLDS	2013	Shohei Nakamura
+	Schrodinger equations on scattering manifolds and microlocal singularities (Spectral and Scattering Theory and Related Topics)	2010	Kenichi Ito Shu Nakamura
+	Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds	2011	Kenichi Ito Shu Nakamura
+ PDF Chat	Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds	2013	Kenichi Ito Shu Nakamura
+	Propagation for Schrödinger operators with potentials singular along a hypersurface	2023	Jeffrey Galkowski Jared Wunsch
+	Microlocal properties of scattering matrices for Schr	2011	Kenichi Ito Shu Nakamura
+	Resolvent at low energy III: The spectral measure	2013	Colin Guillarmou Andrew Hassell Adam Sikora
+	The Schroedinger propagator for scattering metrics	2003	Andrew Hassell Jared Wunsch
+ PDF Chat	Strichartz Estimates for Schrödinger Equations on Scattering Manifolds	2012	Haruya Mizutani
+	Propagation of Singularities for Schrödinger Equations on the Euclidean Space with a Scattering Metric	2006	Kenichi Ito
+	Strichartz estimates for the Schr\"odinger equation for the sublaplacian on complex spheres	2012	Valentina Casarino Marco M. Peloso
+	Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds	2013	Junyong Zhang
+ PDF Chat	On the Schrodinger equation outside strictly convex obstacles	2008	Oana Ivanovici
+ PDF Chat	Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part I	2009	Wilhelm Schlag Avy Soffer Wolfgang Staubach
+ PDF Chat	Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces	2021	András Vasy
+	Global-in-time Strichartz estimates for Schrodinger on scattering manifolds	2017	Junyong Zhang Jiqiang Zheng
+ PDF Chat	The resolvent for Laplace-type operators on asymptotically conic spaces	2001	Andrew Hassell András Vasy

Works That Cite This (12)

Action	Title	Year	Authors
+	Analytic wave front set for solutions to Schrödinger equations	2009	André Martínez Shu Nakamura Vania Sordoni
+ PDF Chat	Existence of Wave Operators with Time-Dependent Modifiers for the Schrödinger Equations with Long-Range Potentials on Scattering Manifolds	2012	Shinichiro Itozaki
+	Wave Front Set for Solutions to Perturbed Harmonic Oscillators	2009	Shikuan Mao Shu Nakamura
+ PDF Chat	Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds	2013	Kenichi Ito Shu Nakamura
+	Singularities for solutions to Schrödinger equations with asymptotically constant magnetic fields	2012	Shikuan Mao
+ PDF Chat	Wigner Analysis of Operators. Part II: Schrödinger Equations	2024	Elena Cordero Gianluca Giacchi Luigi Rodino
+ PDF Chat	Propagation of the Gabor wave front set for Schrödinger equations with non-smooth potentials	2015	Elena Cordero Fabio Nicola Luigi Rodino
+ PDF Chat	Essential self-adjointness of real principal type operators	2021	Shu Nakamura Kouichi Taira
+ PDF Chat	On the Schrödinger equation with potential in modulation spaces	2014	Elena Cordero Fabio Nicola
+	Wave front set for solutions to Schrödinger equations with long-range perturbed harmonic oscillators	2014	Shikuan Mao

Works Cited by This (18)

Action	Title	Year	Authors
+	Spectral and Scattering Theory for the Laplacian on Asymptotically Euclidian Spaces	2020	Richard Melrose
+	Semiclassical Singularity Propagation Property for Schrödinger Equations	2006	Shu Nakamura
+	On the structure of the Schrödinger propagator	2003	Andrew Hassell Jared Wunsch
+	Microlocal dispersive smoothing for the Schrödinger equation	1995	Walter Craig Thomas Kappeler Walter A. Strauss
+ PDF Chat	Semiclassical singularities propagation property for Schrödinger equations	2009	Shu Nakamura
+ PDF Chat	Pseudodifferential Operators and Spectral Theory	1987	Mikhail Shubin
+	Propagation of the homogeneous wave front set for Schrödinger equations	2005	Shu Nakamura
+	Microlocal analytic smoothing effect for the Schrödinger equation	1999	Luc Robbiano Claude Zuily
+	Propagation of singularities and growth for Schrödinger operators	1999	Jared Wunsch
+	Wave front set for solutions to Schrödinger equations	2008	Shu Nakamura