Propagation of singularities and growth for Schrödinger operators

Jared Wunsch

Type: Article

Publication Date: 1999-05-15

Citations: 51

DOI: https://doi.org/10.1215/s0012-7094-99-09804-6

View Publication

Locations

Duke Mathematical Journal - View

Similar Works

Action	Title	Year	Authors
+	Propagation of singularities for pseudo-differential operators and generalized Schrödinger	2010	Licentiate Thesis
+	Singularities for Solutions to Schrödinger Equations	2010	仕寛毛
+	Propagation of analytic singularities for the Schr"odinger Equation	2008	André Martínez Shu Nakamura Vania Sordoni
+	Dispersion of Singularities of Solutions for Schrödinger Equations	2004	Shin-ichi Doi
+	Smoothing effects and dispersion of singularities for the Schrödinger evolution group	1990	徹小澤
+	Propagation, dispersion, and creation of singularities of solutions for Schrodinger equations (Spectral and Scattering Theory and Related Topics)	2004	伸一土居
+	Propagation, dispersion, and creation of singularities of solutions for Schrodinger equations (Spectral and Scattering Theory and Related Topics)	2004	Shin-ichi Doi
+	Propagation of singularities for hyperbolic operators with transverse propagation cone	1990	Tatsuo Nishitani
+ PDF Chat	Propagation of Exponential Phase Space Singularities for Schrödinger Equations with Quadratic Hamiltonians	2016	Evanthia Carypis Patrik Wahlberg
+ PDF Chat	Propagation of singularities for non-real pseudo-differential operators	1994	Bernard Lascar Richard Lascar Nicolás Lerner
+	Propagation of Global Analytic Singularities for Schrödinger Equations with Quadratic Hamiltonians	2021	F. P. White
+	Schrödinger operators and singular perturbations	2013
+	Propagation of phase space singularities for Schr\"odinger equations with quadratic Hamiltonians	2014	Patrik Wahlberg
+	Propagation of Singularities and the Scattering Matrix	1981	James Ralston
+	Propagation of singularities for operators of real principle type	1994	Alain Grigis Johannes Sjöstrand
+ PDF Chat	Propagation of singularities for hyperbolic operators with constant coefficient principal part	1978	Seiichiro Wakabayashi
+	Decay and regularity for the schrödinger equation	1992	Matania Ben–Artzi Sergiù Klainerman
+	Propagation of Singularities	1978	Michael C. Reed
+	Propagation of Singularities	2014	Yaguang Wang
+	Stability of isotropic singularities for the nonlinear Schrödinger equation	1991	M. J. Landman George Papanicolaou Catherine Sulem P. L. Sulem Xiaoping Wang

Works That Cite This (49)

Action	Title	Year	Authors
+ PDF Chat	The Semiclassical Resolvent on Conic Manifolds and Application to Schrödinger Equations	2022	Xi Chen
+ PDF Chat	The Schrödinger propagator for scattering metrics	2005	Andrew Hassell Jared Wunsch
+	Microlocal analysis of quasianalytic Gelfand-Shilov type ultradistributions	2013	Marco Cappiello René Schulz
+ PDF Chat	Equality of the homogeneous and the Gabor wave front set	2017	René Schulz Patrik Wahlberg
+	Microlocal Dispersive Smoothing for the Nonlinear Schrödinger Equation	2005	Jérémie Szeftel
+ PDF Chat	Semiclassical singularities propagation property for Schrödinger equations	2009	Shu Nakamura
+	Effect régularisant microlocal analytique pour l'équation de Schrödinger le cas des données oscillantes	2000	Luc Robbiano Claude Zuily
+	Analytic wave front set for solutions to Schrödinger equations	2009	André Martínez Shu Nakamura Vania Sordoni
+ PDF Chat	Analytic singularities for long range Schrödinger equations	2008	André Martínez Shu Nakamura Vania Sordoni
+	Notes on the Wave Equation on Asymptotically Euclidean Manifolds	2001	F. G. Friedlander

Works Cited by This (24)

Action	Title	Year	Authors
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Spectral and Scattering Theory for the Laplacian on Asymptotically Euclidian Spaces	2020	Richard Melrose
+ PDF Chat	Resolvent of the Laplacian on strictly pseudoconvex domains	1991	Charles L. Epstein Richard Melrose Gerardo A. Mendoza
+	Smoothing effects of Schrödinger evolution groups on Riemannian manifolds	1996	Shin-ichi Doi
+	Parametrices for a class of schrodinger equations	1995	François Trèves
+ PDF Chat	Smooth Linearization Near a Fixed Point	1985	George R. Sell
+	Microlocal dispersive smoothing for the Schrödinger equation	1995	Walter Craig Thomas Kappeler Walter A. Strauss
+ PDF Chat	Fourier integral operators. I	1971	Lars Hörmander
+	A Symbol Class for Some Schrodinger Equations on R n	1985	Alan Weinstein
+	On singularities of solutions of the Schrödinger equation for a free particle	1994	N. A. Shananin