On a variational inequality for a degenerate quasilinear hyperbolic equation.
type: Item
instance of: scholarly article
title: On a variational inequality for a degenerate quasilinear hyperbolic equation.
zbMATH Open document ID: 1046.49002
DOI: 10.1016/S0096-3003(02)00011-5
published in: Applied Mathematics and Computation
publication date: 2003-09-09T00:00:00Z
review text: The author studies a unilateral problem for the nonhomogeneous degenerate Kirchhoff equation with a blowing up term. Using the penalty method and Galerkin's approximation, existence and uniqueness results are obtained.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35L85
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 1977920
zbMATH Keywords: quasilinear hyperbolic equation
zbMATH Keywords: Galerkin method
zbMATH Keywords: penalty method
zbMATH Keywords: variational inequality
author: Mohammed Aassila
reviewed by: Leszek Gasiński
MaRDI profile type: Publication
cites work: Q4213517
cites work: On local solutions of a middly degenerate hyperbolic equation
cites work: Q4805959
cites work: Global solvability for the degenerate Kirchhoff equation with real analytic data
cites work: On global existence and uniqueness for the unilateral problem associated to the degenerated Kirchhoff equation
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Q5890172
cites work: Q4189540
cites work: Q4720113
cites work: Q3202567
cites work: ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
full work available at URL: s0096-3003(02)00011-5
OpenAlex ID: W2125764771
description: scientific article; zbMATH DE number 1977920