The asymptotic theory of global solutions for semilinear wave equations in three space dimensions

DOI10.1016/j.camwa.2004.06.005zbMath1063.35102OpenAlexW1999775467MaRDI QIDQ1767869

Xu Yang, Shaoyong Lai, Yong-Hong Wu

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.06.005

zbMATH Keywords

uniform estimatesfixed-point theorem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Perturbations in context of PDEs (35B20) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

Some physical structures for the \((2+1)\)-dimensional Boussinesq water equation with positive and negative exponents

Cites Work

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• The asymptotic theory of initial value problems for semilinear wave equations in three space dimensions
• The asymptotic theory of semilinear perturbed telegraph equation and its application
• Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
• An Asymptotic Theory for a Class of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations with an Application to a Model of the Galloping Oscillations of Overhead Transmission Lines
• On Initial Boundary Value Problems for Weakly Semilinear Telegraph Equations. Asymptotic Theory and Application
• Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity
• Validity of approximations for time periodic solutions of a forced non–linear hyperbolic differential equation

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