The asymptotic theory of global solutions for semilinear wave equations in three space dimensions
type: Item
instance of: scholarly article
title: The asymptotic theory of global solutions for semilinear wave equations in three space dimensions
zbMATH Open document ID: 1063.35102
author: Shaoyong Lai
author: Xu Yang
author: Yonghong Wu
publication date: 2005-03-08T00:00:00Z
review text: The authors present uniform estimates of a solution to the Cauchy problem for the equation \(u_{tt}-\triangle u=\varepsilon f(u,\varepsilon ),\) \(t>0\), \(x\in \mathbb R^3.\) Using a fixed-point theorem, they deduce the existence of a global classical solution and its asymptotic decay for sufficiently small \(\varepsilon .\) Convergence of formal approximations to the solution is also proved.
reviewed by: Marie Kopáčková
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L70
zbMATH DE Number: 2142407
zbMATH Keywords: uniform estimates
zbMATH Keywords: fixed-point theorem
MaRDI profile type: Publication
full work available at URL: j.camwa.2004.06.005
OpenAlex ID: W1999775467
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DOI: 10.1016/J.CAMWA.2004.06.005
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 2142407