Long-time asymptotic expansion for the damped semilinear wave equation.
type: Item
instance of: scholarly article
title: Long-time asymptotic expansion for the damped semilinear wave equation.
zbMATH Open document ID: 1106.35317
DOI: 10.1016/S0022-247X(02)00499-7
author: V. V. Varlamov
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 1866783
MaRDI profile type: Publication
cites work: Q4003101
cites work: On a nonlinear evolution equation and its applications
cites work: Nonlinear initial-boundary value problems
cites work: Local well posedness for strongly damped wave equations with critical nonlinearities
cites work: Mixed problem for some semi-linear wave equation with a nonhomogeneous condition
cites work: Finite dimensional exponential attractors for semilinear wave equations with damping
cites work: On the dynamics of semilinear damped wave equations on
cites work: Long-time behavior and convergence for semilinear wave equations on \(\mathbb{R}^ N\)
cites work: Finite energy travelling waves for nonlinear damped wave equations
cites work: Linearization and normal form of the Navier-Stokes equations with potential forces
cites work: Q3974684
cites work: Scaling variables and asymptotic expansions in damped wave equations
cites work: Stability of travelling waves for a damped hyperbolic equation
cites work: Existence of a solution of the wave equation with nonlinear damping and source terms
cites work: Attractors for damped nonlinear hyperbolic equations
cites work: A singular perturbed problem for semilinear wave equations with small parameter
cites work: Q3258142
cites work: Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
cites work: Stable and unstable manifolds for the nonlinear wave equation with dissipation
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: On weak solutions for an evolution equation with exponential nonlinearities
cites work: Q4301170
cites work: On the quasilinear wave equation: utt − Δu + f(u, ut) = 0 associated with a mixed nonhomogeneous condition
cites work: Q3253942
cites work: A fois-saut type of expansion for dissipative wave equations
cites work: Q5792207
cites work: Critical exponent for a nonlinear wave equation with damping
cites work: On the Kuramoto-Sivashinsky equation in a disk
cites work: On the spatially two-dimensional Boussinesq equation in a circular domain
cites work: Eigenfunction expansion method and the long-time asymptotics for the damped Boussinesq equation
cites work: Nonlinear Heat Equation with a Fractional Laplacian in a Disk
cites work: Long-time asymptotics for the nonlinear heat equation with a fractional Laplacian in a ball
full work available at URL: s0022-247x(02)00499-7
OpenAlex ID: W2068715511
description: scientific article; zbMATH DE number 1866783