Singularities of solutions to Schrodinger equation on scattering manifold

Kenichi Ito, Shu Nakamura

Type: Preprint

Publication Date: 2007-01-01

Citations: 5

DOI: https://doi.org/10.48550/arxiv.0711.3258

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Singularities of solutions to the Schrödinger equation on scattering manifold	2009	Kenichi Ito Shu Nakamura
+	MICROLOCAL SINGULARITIES AND SCATTERING THEORY FOR SCHRÖDINGER EQUATIONS ON MANIFOLDS	2013	Shohei Nakamura
+	Propagation of singularities under Schrödinger equations on manifolds with ends	2022	Shota Fukushima
+	Schrodinger equations on scattering manifolds and microlocal singularities	2008	健一伊藤
+	Schrodinger equations on scattering manifolds and microlocal singularities (Spectral and Scattering Theory and Related Topics)	2010	Kenichi Ito Shu Nakamura
+ 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 and nonlinear wave equation on nontrapping asymptotically conic manifolds	2013	Junyong Zhang
+ PDF Chat	Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds	2013	Kenichi Ito Shu Nakamura
+	Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds	2011	Kenichi Ito Shu Nakamura
+	Propagation for Schrödinger operators with potentials singular along a hypersurface	2023	Jeffrey Galkowski Jared Wunsch
+	Resolvent at low energy III: The spectral measure	2013	Colin Guillarmou Andrew Hassell Adam Sikora
+	Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds	2014	Junyong Zhang
+	Microlocal properties of scattering matrices for Schr	2011	Kenichi Ito Shu Nakamura
+ PDF Chat	Resolvent near zero energy on Riemannian scattering (asymptotically conic) spaces	2021	András Vasy
+ PDF Chat	Decay for the wave and Schrödinger evolutions on manifolds with conical ends, Part I	2009	Wilhelm Schlag Avy Soffer Wolfgang Staubach
+	The Semiclassical Resolvent on Conic Manifolds and Application to Schrödinger Equations	2020	Xi Chen
+ PDF Chat	Global-in-time Strichartz estimates for Schrödinger on scattering manifolds	2017	Junyong Zhang Jiqiang Zheng
+	The Schroedinger propagator for scattering metrics	2003	Andrew Hassell Jared Wunsch
+ PDF Chat	Stationary scattering theory on manifolds	2021	Kenichi Ito Erik Skibsted

Works That Cite This (5)

Action	Title	Year	Authors
+ PDF Chat	Existence of Wave Operators with Time-Dependent Modifiers for the Schrödinger Equations with Long-Range Potentials on Scattering Manifolds	2012	Shinichiro Itozaki
+ PDF Chat	Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class	2008	Ryuichiro Mizuhara
+	Wave front set for solutions to Schrödinger equations	2008	Shu Nakamura
+	Microlocal smoothing effect for the Schrödinger evolution equation in a Gevrey class	2008	Ryuichiro Mizuhara
+	Wave front set for solutions to Schrödinger equations with long-range perturbed harmonic oscillators	2014	Shikuan Mao

Works Cited by This (5)

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
+	Propagation of Singularities for Schrödinger Equations on the Euclidean Space with a Scattering Metric	2006	Kenichi Ito
+ PDF Chat	Analytic theory for the quadratic scattering wave front set and application to the Schrödinger equation	2018	Luc Robbiano Claude Zuily