Asymptotic behavior of solutions to the damped quasilinear equation \(\partial^ 2/\partial t^ 2 u(x,t) + \gamma \partial u/\partial t (x,t) - \partial/\partial x \sigma(\partial u/\partial t)\)
type: Item
instance of: scholarly article
title: Asymptotic behavior of solutions to the damped quasilinear equation \(\partial^ 2/\partial t^ 2 u(x,t) + \gamma \partial u/\partial t (x,t) - \partial/\partial x \sigma(\partial u/\partial t)\)
zbMATH Open document ID: 0506.35068
DOI: 10.1016/0022-247X(82)90143-3
author: Frederick Bloom
published in: Journal of Mathematical Analysis and Applications
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 3798298
zbMATH Keywords: damped quasilinear equation
zbMATH Keywords: initial-boundary conditions
zbMATH Keywords: growth estimates
MaRDI profile type: Publication
cites work: Instability of steady shearing flows in a non-linear viscoelastic fluid
cites work: Q4184438
cites work: Q4174434
cites work: Energy methods for nonlinear hyperbolic volterra integrodifferential equations
cites work: Q3715492
cites work: Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
cites work: Remarks on the Asymptotic Behavior of Solutions to Damped Evolution Equations in Hilbert Space
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
full work available at URL: 0022-247x(82)90143-3
OpenAlex ID: W2080643686
description: scientific article; zbMATH DE number 3798298