Global Strichartz estimates for nontrapping perturbations of the Laplacian

Hart F. Smith, Christopher D. Sogge

Type: Preprint

Publication Date: 1999-01-01

Citations: 108

DOI: https://doi.org/10.48550/arxiv.math/9912204

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	On global Strichartz estimates for non trapping metrics	2006	Jean‐Marc Bouclet Nikolay Tzvetkov
+	On global Strichartz estimates for non-trapping metrics	2008	Jean‐Marc Bouclet Nikolay Tzvetkov
+ PDF Chat	Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric	2010	Yavar Kian
+	Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric	2011	Yavar Kian
+	Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric	2011	Yavar Kian
+	Global in time Strichartz inequalities on asymptotically flat manifolds with temperate trapping	2016	Jean‐Marc Bouclet Haruya Mizutani
+	Strichartz estimates on Kerr black hole backgrounds	2009	Mihai Tohaneanu
+ PDF Chat	Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials	2019	Haruya Mizutani
+	Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds	2013	Junyong Zhang
+	Global Strichartz Estimates for nontrapping Geometries: About an Article by H. Smith and C. Sogge	2002	Nicolas Burq
+	Local energy decay and Strichartz estimates for the wave equation with time-periodic perturbaitons	2006	Vesselin Petkov
+	Local energy decay in even dimensions for the wave equation with a time-periodic non-trapping metric and applications to Strichartz estimates	2010	Yavar Kian
+	Local energy decay in even dimensions for the wave equation with a time-periodic non-trapping metric and applications to Strichartz estimates	2011	Yavar Kian
+ PDF Chat	Strichartz estimates on Kerr black hole backgrounds	2011	Mihai Tohaneanu
+	Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds	2014	Junyong Zhang
+ PDF Chat	Global endpoint Strichartz estimates for Schrödinger equations on the cylinder <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e40" altimg="si2.svg"><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">×</mml:mo><mml:mi mathvariant="double-struck">T</mml:mi></mml:mrow></mml:math>	2021	Alexander Barron Michael Christ Benoît Pausader
+	Local energy decay in even dimensions for the wave equation with a time-periodic non-trapping metric and applications to Strichartz estimates	2011	Yavar Kian
+	Strichartz estimates and local smoothing estimates for asymptotically flat Schrödinger equations	2007	Jeremy L. Marzuola Jason Metcalfe Daniel Tataru
+ PDF Chat	Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge	2003	Nicolas Burq
+	On Abstract Strichartz Estimates and the Strauss Conjecture for Nontrapping Obstacles	2008	Kunio Hidano Jason Metcalfe Hart F. Smith Christopher D. Sogge Yi Zhou

Works That Cite This (110)

Action	Title	Year	Authors
+ PDF Chat	Pointwise decay for the wave equation on nonstationary spacetimes	2022	Shi-Zhuo Looi
+ PDF Chat	Strichartz estimates for the wave equation on manifolds with boundary	2009	Matthew D. Blair Hart F. Smith Christopher D. Sogge
+ PDF Chat	The Glassey conjecture with radially symmetric data	2012	Kunio Hidano Chengbo Wang Kazuyoshi Yokoyama
+ PDF Chat	On Stability of Standing Waves of Nonlinear Dirac Equations	2012	Nabile Boussaïd Scipio Cuccagna
+ PDF Chat	A minicourse on the low Mach number limit	2008	Thomas Alazard
+	Sharp Strichartz estimates on non-trapping asymptotically conic manifolds	2004	Andrew Hassell Terence Tao Jared Wunsch
+	Dispersive estimates for Schroedinger operators: A survey	2005	Wilhelm Schlag
+	Stable manifolds for an orbitally unstable NLS	2004	Wilhelm Schlag
+ PDF Chat	Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential	2007	Tetsu Mizumachi
+	On Asymptotic Stability of Standing Waves of Discrete Schrödinger Equation in $\mathbb{Z}$	2009	Scipio Cuccagna Mirko Tarulli

Works Cited by This (11)

Action	Title	Year	Authors
+ PDF Chat	Approximate eigenfunctions of the Laplacian	1977	James Ralston
+	Grazing rays and reflection of singularities of solutions to wave equations	1976	Michael E. Taylor
+ PDF Chat	On the critical semilinear wave equation outside convex obstacles	1995	Hart F. Smith Christopher D. Sogge
+	Generalized Strichartz Inequalities for the Wave Equation	1995	J. Ginibre G. Velo
+	On Existence and Scattering with Minimal Regularity for Semilinear Wave Equations	1995	Hans Lindblad Christopher D. Sogge
+ PDF Chat	Local smoothing of Fourier integral operators and Carleson-Sjölin estimates	1993	Gerd Mockenhaupt Andreas Seeger Christopher D. Sogge
+	Nonlinear small data scattering for the wave and Klein-Gordon equation	1984	Hartmut Pecher
+	A priori estimates for the wave equation and some applications	1970	Robert S. Strichartz
+	ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR AS<i>t</i>→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS	1975	B. Vaĭnberg
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao