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

DOI10.1007/BF02439381zbMath1045.35045OpenAlexW1976374128MaRDI QIDQ1429172

Qinglong Fu, Shaoyong Lai

Publication date: 18 May 2004

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02439381

zbMATH Keywords

well-posednessformal approximationslong time scale

Mathematics Subject Classification ID

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

Cites Work

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• Existence of a global solution to a semi-linear wave equation with initial data of non-compact support in low space dimensions
• 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
• 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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