On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations
type: Item
instance of: scholarly article
title: On asymptotic stability of stationary solutions to nonlinear wave and Klein-Gordon equations
zbMATH Open document ID: 0863.35064
DOI: 10.1007/BF00379535
published in: Archive for Rational Mechanics and Analysis
publication date: 1996-12-12T00:00:00Z
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L30
zbMATH DE Number: 944239
zbMATH Keywords: local energy norms
zbMATH Keywords: Lyapunov condition
author: A. Komech
author: B. Vainberg
MaRDI profile type: Publication
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Minimum action solutions of some vector field equations
cites work: Q5651602
cites work: Q3726637
cites work: Scattering theory in the energy space for a class of nonlinear wave equations
cites work: Decay of classical Yang-Mills fields
cites work: Decay of a Yang-Mills field coupled to a scalar field
cites work: Stability theory of solitary waves in the presence of symmetry. I
cites work: Long-time behavior of solutions to nonlinear evolution equations
cites work: On the stabilization of interaction of a string with a nonlinear oscillator
cites work: On stabilization of string-nonlinear oscillator interaction
cites work: On the stabilization of string-oscillator interaction
cites work: Exponential decay of solutions of the wave equation in the exterior of a star‐shaped obstacle
cites work: Scattering theory
cites work: The decay of solutions of the exterior initial-boundary value problem for the wave equation
cites work: Exponential decay of solutions of the wave equation
cites work: Decay and scattering of solutions of a nonlinear relativistic wave equation
cites work: Saddle points and instability of nonlinear hyperbolic equations
cites work: On the existence of global solutions of nonlinear wave equations
cites work: Abstract non linear wave equations
cites work: Dispersion for non-linear relativistic equations. II
cites work: Stable standing waves of nonlinear Klein-Gordon equations
cites work: Unstable Ground State of Nonlinear Klein-Gordon Equations
cites work: Instability of nonlinear bound states
cites work: Decay and asymptotics for \(\square u = F(u)\)
cites work: ON THE ANALYTICAL PROPERTIES OF THE RESOLVENT FOR A CERTAIN CLASS OF OPERATOR-PENCILS
cites work: BEHAVIOR OF THE SOLUTION OF THE CAUCHY PROBLEM FOR A HYPERBOLIC EQUATION ASt→∞
cites work: Q4072223
cites work: ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
cites work: Q3999258
full work available at URL: https://doi.org/10.1007/bf00379535
OpenAlex ID: W2148308376
description: scientific article; zbMATH DE number 944239