Uniform stabilization of solution
type: Item
instance of: scholarly article
zbMATH Open document ID: 0977.35025
author: Mohammed Aassila
publication date: 2001-12-17T00:00:00Z
full work available at URL: https://eudml.org/doc/121496
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 1682884
zbMATH Keywords: exponential decay
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: energy decay
MaRDI profile type: Publication
title: Uniform stabilization of solution
published in: Commentationes Mathematicae Universitatis Carolinae
review text: The author proves the exponential decay of solution of the initial-boundary value problem to the equation \(u_{tt}-(\alpha +2\beta \|\nabla u\|_2^2)\triangle u+\delta u=\mu u^3\), \(x\in \Omega \), \(t>0\), satisfying the homogeneous Dirichlet condition on the boundary of \(\Omega \).
description: scientific article; zbMATH DE number 1682884