The Semiclassical Resolvent on Conic Manifolds and Application to Schrödinger Equations

Xi Chen

Type: Article

Publication Date: 2022-01-29

Citations: 1

DOI: https://doi.org/10.1007/s00220-021-04308-3

View Publication

Download PDF

Locations

Communications in Mathematical Physics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	The Semiclassical Resolvent on Conic Manifolds and Application to Schrödinger Equations	2020	Xi Chen
+	Resolvents and complex powers of semiclassical cone operators	2020	Peter Hintz
+	The semiclassical resolvent and the propagator for nontrapping scattering metrics	2006	Andrew Hassell Jared Wunsch
+ PDF Chat	Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. II	2009	Colin Guillarmou Andrew Hassell
+ PDF Chat	Resolvents and complex powers of semiclassical cone operators	2022	Peter Hintz
+ PDF Chat	Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.	2008	Colin Guillarmou Andrew Hassell
+	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
+	Singularities of solutions to Schrodinger equation on scattering manifold	2007	Kenichi Ito Shu Nakamura
+ PDF Chat	Parameter-dependent operators and resolvent expansions on conic manifolds	2002	Paul Loya
+	Resolvent and spectral measure for Schrödinger operators on flat Euclidean cones	2020	Junyong Zhang
+	Schrodinger equations on scattering manifolds and microlocal singularities	2008	健一伊藤
+	The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity	2016	Antônio Sá Barreto Yiran Wang
+	Singularities of solutions to the Schrödinger equation on scattering manifold	2009	Kenichi Ito Shu Nakamura
+	Resolvent at low energy III: The spectral measure	2013	Colin Guillarmou Andrew Hassell Adam Sikora
+	Resolvents of Bochner Laplacians in the semiclassical limit	2023	Laurent Charles
+	Resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds, I	2008	Colin Guillarmou Andrew Hassell
+ PDF Chat	Resolvent and spectral measure for Schrödinger operators on flat Euclidean cones	2021	Junyong Zhang
+ PDF Chat	The semiclassical resolvent and the propagator for non-trapping scattering metrics	2007	Andrew Hassell Jared Wunsch
+	Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type	2003	Rafe Mazzeo András Vasy

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Semiclassical propagation through cone points	2024	Peter Hintz

Works Cited by This (31)

Action	Title	Year	Authors
+	The Atiyah-Patodi-Singer Index Theorem	1993	Richard Melrose
+	Spectral and Scattering Theory for the Laplacian on Asymptotically Euclidian Spaces	2020	Richard Melrose
+ PDF Chat	The resolvent for Laplace-type operators on asymptotically conic spaces	2001	Andrew Hassell András Vasy
+ PDF Chat	Strichartz Estimates on Exterior Polygonal Domains	2014	Dean Baskin Jeremy L. Marzuola Jared Wunsch
+	Lagrangian Intersection and the Cauchy Problem	1979	Richard Melrose Günther Uhlmann
+ PDF Chat	The spectral projections and the resolvent for scattering metrics	1999	Andrew Hassell András Vasy
+ PDF Chat	The Resolvent of Closed Extensions of Cone Differential Operators	2005	Elmar Schrohe Jörg Seiler
+ PDF Chat	Restriction and spectral multiplier theorems on asymptotically conic manifolds	2013	Colin Guillarmou Andrew Hassell Adam Sikora
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander
+ PDF Chat	STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS	2002	Gigliola Staffilani Daniel Tataru