Spectral Theory and Nonlinear PDE: a Survey

Wilhelm Schlag

Type: Preprint

Publication Date: 2005-01-01

Citations: 9

DOI: https://doi.org/10.48550/arxiv.math/0509019

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+	Why are solitons stable?	2008	Terence Tao
+ PDF Chat	Besov Spaces for the Schrödinger Operator with Barrier Potential	2009	John J. Benedetto Shijun Zheng
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+	On precise center stable manifold theorems for certain reaction–diffusion and Klein–Gordon equations	2009	Milena Stanislavova Atanas Stefanov
+	Sine-Gordon on a wormhole	2021	Piotr Bizoń Maciej Dunajski Michał Kahl Michał Kowalczyk
+	STRUCTURE AND DYNAMICS OF NONCOMMUTATIVE SOLITONS: SPECTRAL THEORY AND DISPERSIVE ESTIMATES	2014	August J. Krueger

Works Cited by This (40)

Action	Title	Year	Authors
+	None	2001	Nikodem Szpak
+	Spectral properties of Schrödinger operators and time-decay of the wave functions	1979	Arne Jensen Tosio Kato
+	Numerical verification of a gap condition for linearized NLS	2005	Laurent Demanet Wilhelm Schlag
+	Stable manifolds for an orbitally unstable NLS	2004	Wilhelm Schlag
+	Asymptotic stability of N-soliton states of NLS	2003	Igor Rodnianski Wilhelm Schlag Avy Soffer
+	Stable manifolds for all monic supercritical NLS in one dimension	2005	Joachim Krieger Wilhelm Schlag
+	Lyapunov stability of ground states of nonlinear dispersive evolution equations	1986	Michael I. Weinstein
+	Decay Estimates for the Wave Equation with Potential	2003	Vladimir Georgiev Nicola Visciglia
+	Determination of the blow-up rate for a critical semilinear wave equation	2004	Frank Merle Hatem Zaag
+ PDF Chat	Solitary Wave Dynamics in an External Potential	2004	Jürg Fröhlich Stephen J. Gustafson B. L. G. Jonsson Israel Michael Sigal