The asymptotic theory of initial value problems for semilinear wave equations in three space dimensions

DOI10.1007/S11766-997-0033-8zbMath0895.35064OpenAlexW2312445572MaRDI QIDQ1370301

Shaoyong Lai, Chun-Lai Mu

Publication date: 5 June 1998

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-997-0033-8

zbMATH Keywords

perturbed wave equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (2)

The asymptotic theory of initial value problems for semilinear perturbed wave equations in two space dimensions ⋮ The asymptotic theory of global solutions for semilinear wave equations in three space dimensions

Cites Work

• 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
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