Uniform Decay of Local Energy and the Semi-Linear Wave Equation on Schwarzschild Space

Pieter Blue, Jacob Sterbenz

Type: Article

Publication Date: 2006-09-11

Citations: 145

DOI: https://doi.org/10.1007/s00220-006-0101-6

View Publication

Download PDF

Locations

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

Similar Works

Action	Title	Year	Authors
+	Local energy estimate on Kerr black hole backgrounds	2008	Daniel Tataru Mihai Tohaneanu
+ PDF Chat	Local decay of waves on asymptotically flat stationary space-times	2013	Daniel Tataru
+	Local decay of waves on asymptotically flat stationary space-times	2009	Daniel Tataru
+	Local decay of waves on asymptotically flat stationary space-times	2009	Daniel Tataru
+	Global existence for quasilinear wave equations close to Schwarzschild	2016	Hans Lindblad Mihai Tohaneanu
+	Global existence for quasilinear wave equations close to Schwarzschild	2016	Hans Lindblad Mihai Tohaneanu
+ PDF Chat	Sharp decay estimates for massless Dirac fields on a Schwarzschild background	2021	Siyuan Ma Lin Zhang
+	Local energy decay for linear wave equations with variable coefficients	2005	Ryo Ikehata
+ PDF Chat	Global existence for quasilinear wave equations close to Schwarzschild	2018	Hans Lindblad Mihai Tohaneanu
+ PDF Chat	Improved Decay for Solutions to the Linear Wave Equation on a Schwarzschild Black Hole	2010	Jonathan Luk
+	A note on energy currents and decay for the wave equation on a Schwarzschild background	2007	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	Semilinear wave equations on the Schwarzschild manifold. I. Local decay estimates	2003	Pieter Blue Avy Soffer
+	Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates	2003	Pieter Blue Avy Soffer
+ PDF Chat	Asymptotic Decay for Defocusing Semilinear Wave Equations on Schwarzschild Spacetimes	2025	Mei He Dongyi Wei Shiwu Yang
+ PDF Chat	Strichartz Estimates on Schwarzschild Black Hole Backgrounds	2009	Jeremy L. Marzuola Jason Metcalfe Daniel Tataru Mihai Tohaneanu
+	The wave equation on the Schwarzschild spacetime with small non-decaying first-order terms	2023	Gustav Holzegel Christopher Kauffman
+	Asymptotic decay for defocusing semilinear wave equations on Schwarzschild spacetimes	2023	Mei He Dongyi Wei Shiwu Yang
+ PDF Chat	Decay and Non-Decay of the Local Energy for the Wave Equation on the De Sitter–Schwarzschild Metric	2008	Jean‐François Bony Dietrich Häfner
+	Pointwise decay for the wave equation on nonstationary spacetimes	2021	Shi-Zhuo Looi
+	Semilinear wave equation in Schwarzschild metric	2004	Davide Catania Vladimir Georgiev

Works That Cite This (139)

Action	Title	Year	Authors
+	Pointwise decay for the Maxwell field on black hole space–times	2017	Jason Metcalfe Daniel Tataru Mihai Tohaneanu
+ PDF Chat	Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime	2023	N. Lai Yi Zhou
+	Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds	2012	Stefanos Aretakis
+ PDF Chat	Global Stability for Charged Scalar Fields in an Asymptotically Flat Metric in Harmonic Gauge	2023	Christopher Kauffman
+	On the global stability of the wave-map equation in Kerr spaces with small angular momentum	2014	Alexandru D. Ionescu Sergiù Klainerman
+	Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior	2013	Lars Andersson Pieter Blue
+	The mathematical analysis of black holes in general relativity	2014	Mihalis Dafermos
+	The wave equation on Schwarzschild-de Sitter spacetimes	2007	Mihalis Dafermos Igor Rodnianski
+	Trends in Mathematics	2008	Ralph Meyer Thomas Schick Yuri Tschinkel
+ PDF Chat	Asymptotics of Linear Waves and Resonances with Applications to Black Holes	2015	Semyon Dyatlov

Works Cited by This (10)

Action	Title	Year	Authors
+	Tools for PDE	2007	Michael E. Taylor
+	Semilinear wave equations on the Schwarzschild manifold I: Local decay estimates	2003	Pieter Blue Avy Soffer
+	Small-amplitude nonlinear waves on a black hole background	2005	Mihalis Dafermos Igor Rodnianski
+	The limiting amplitude principle	1962	Cathleen S. Morawetz
+	The Large Scale Structure of Space-Time	1973	S. W. Hawking George Ellis
+	Global Stability for Charged Scalar Fields on Minkowski Space	2004	Hans Lindblad Jacob Sterbenz
+	Decay estimates and phase space analysis for wave equations on some black hole metrics	2004	Pieter Blue
+ PDF Chat	A proof of Price’s law for the collapse of a self-gravitating scalar field	2005	Mihalis Dafermos Igor Rodnianski
+ PDF Chat	The wave equation on the Schwarzschild metric II. Local decay for the spin-2 Regge–Wheeler equation	2004	Pieter Blue Avy Soffer
+ PDF Chat	Phase space analysis on some black hole manifolds	2008	Pieter Blue Avy Soffer