Exponential dichotomy and smooth invariant center manifolds for semilinear hyperbolic systems

Exponential dichotomy and smooth invariant center manifolds for semilinear hyperbolic systems

Es wird gezeigt, dass ein Satz über die Abbildung spektraler Lücken, welcher exponentielle Dichotomie charakterisiert, für eine allgemeine Klasse (SH) von semilinearen hyperbolischen Systemen von partiellen Differentialgleichungen in einem Banach-Raum X von stetigen Funktionen gilt. Dies beantwortet...

Full description

Bibliographic Details
Main Author:	Lichtner, Mark
Other Authors:	Mielke, A.
Format:	Doctoral Thesis
Language:	English
Published:	Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II 2006
Subjects:	Semilineare Hyperbolische Systeme Glatte Abhängigkeit von den Daten Zentrumsmannigfaltigkeiten Linearisierte Stabilität Lineare Hyperbolische Systeme Abschätzungen von Spektrum und Resolvente Exponentielle Dichotomie Spektraler Abbildunssatz C0 Halbgruppen Laserdynamik Semilinear Hyperbolic Systems Exponential Dichotomy Smooth Dependence on Data Center Manifold Theorem Linearized Stability Linear Hyperbolic Systems Estimates for Spectra and Resolvents Spectral Mapping Theorem C0 Semigroups Laser Dynamics 510 Mathematik 27 Mathematik ddc:510
Online Access:	http://edoc.hu-berlin.de/18452/16184 http://nbn-resolving.de/urn:nbn:de:kobv:11-10068737 http://dx.doi.org/10.18452/15532

Similar Items

Bounds for Green's functions on hyperbolic Riemann surfaces of finite volume
by: Aryasomayajula, Naga Venkata Anilatmaja
Published: (2013)

A kinetic model for grain growth
by: Henseler, Reiner
Published: (2007)

Analysis for dissipative Maxwell-Bloch type models
by: Eichenauer, Florian
Published: (2016)

Der Diracsee im äußeren Feld
by: Finster Zirker, Felix
Published: (2004)

Optimization of nonsmooth first order hyperbolic systems
by: Strogies, Nikolai
Published: (2016)

Integral manifolds for nonautonomous slow-fast systems without dichotomy
by: Shchetinina, Ekaterina
Published: (2004)

Semi-linear waves with time-dependent speed and dissipation
by: Bui, Tang Bao Ngoc
Published: (2014)

Derivation, analysis and numerics of reduced ODE models describing coarsening dynamics of liquid droplets
by: Kitavtsev, Georgy
Published: (2010)

Admissibility and nonuniformly hyperbolic sets
by: Luis Barreira, et al.
Published: (2016-03-01)

Utility maximization and quadratic BSDEs under exponential moments
by: Mocha, Markus
Published: (2012)

Essays on minimal supersolutions of BSDEs and on cross hedging in incomplete markets
by: Heyne, Gregor
Published: (2012)

Konjugation stochastischer und zufälliger stationärer Differentialgleichungen und eine Version des lokalen Satzes von Hartman-Grobman für stochastische Differentialgleichungen
by: Lederer, Christian
Published: (2001)

Geometric cycles on moduli spaces of curves
by: Tarasca, Nicola
Published: (2012)

Holomorphic Vector Bundles on Ruled Surfaces and Their Blowing Ups
by: Matuschke, Andreas
Published: (1998)

Über einparametrische Optimierungsprobleme (spezielle Einbettungen) und einparametrische Variationsgleichungen
by: Gómez-Bofill, Walter
Published: (1999)

Schwache Randwertprobleme von Systemen elliptischen Charakters auf konischen Gebieten
by: Winkler, Ralf
Published: (2008)

Preservation of quasiconvexity and quasimonotonicity in polynomial approximation of variational problems
by: Heinz, Sebastian
Published: (2008)

Semilinear hyperbolic systems in one space dimension with strongly singular initial data
by: Kirsten E. Travers
Published: (1997-08-01)

Global well-posedness of semilinear hyperbolic equations, parabolic equations and Schrodinger equations
by: Runzhang Xu, et al.
Published: (2018-02-01)

Statistics for diffusion processes with low and high-frequency observations
by: Chorowski, Jakub
Published: (2016)

General linear methods for integrated circuit design
by: Voigtmann, Steffen
Published: (2006)

On weak solutions of semilinear hyperbolic-parabolic equations
by: Jorge Ferreira
Published: (1996-01-01)

Problèmes de séparation de relations analytiques
by: Zamora, Rafael
Published: (2015)

Instability of discrete systems
by: Raul Naulin, et al.
Published: (1998-12-01)

Controllability of Semilinear Systems with Multiple Variable Delays in Control
by: Jerzy Klamka
Published: (2020-11-01)

Exponential dichotomies for linear systems with impulsive effects
by: Raul Naulin
Published: (2001-01-01)

Perturbations singulières des systèmes dynamiques en dimension infinie : théorie et applications
by: Seydi, Ousmane
Published: (2013)

Beiträge und Beispiele zur Bures-Geometrie
by: Peltri, Gregor
Published: (2004)

Higher gap morasses
by: Cárdenas, Franqui
Published: (2005)

On a Fokker–Planck equation coupled with a constraint
by: Huth, Robert
Published: (2012)

Asymptotische Stabilität von Index-2-Algebro-Differentialgleichungen und ihren Diskretisierungen
by: Santiesteban, Antonio Ramon Rodriguez
Published: (2001)

Regularity for Semilinear Neutral Hyperbolic Equations with Cosine Families
by: Seong-Ho Cho, et al.
Published: (2020-07-01)

The exponent of Hölder calmness for polynomial systems
by: Heerda, Jan
Published: (2012)

Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse
by: Gauß, Carl Friedrich
Published: (1799)

Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions
by: Annamalai Anguraj, et al.
Published: (2018-11-01)

Smoothing stochastic bang-bang problems
by: Eichmann, Katrin
Published: (2013)

Pattern formation in magnetic thin films
by: Condette, Nicolas
Published: (2011)

Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations
by: Garcia, Ignacio de Mateo
Published: (2012)

The arithmetic volume of Shimura varieties of orthogonal type
by: Hörmann, Fritz
Published: (2010)

Essays on supersolutions of BSDEs and equilibrium pricing in generalized capital asset pricing models
by: Mainberger, Christoph
Published: (2014)