On Initial Boundary Value Problems for Weakly Semilinear Telegraph Equations. Asymptotic Theory and Application

DOI10.1137/0148041zbMath0671.35059OpenAlexW2095073930MaRDI QIDQ3824783

Wim T. van Horssen, Adriaan H. P. Van Der Burgh

Publication date: 1988

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0148041

zbMATH Keywords

well-posednesssmoothnessinitial boundary value problemasymptotic theoremnonlinearly perturbed telegraph equationtwo-time-scale perturbation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (10)

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 ⋮ Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity ⋮ The asymptotic theory of initial value problems for semilinear perturbed wave equations in two space dimensions ⋮ The Galerkin-averaging method for the Klein-Gordon equation in two space dimensions ⋮ Asymptotic theory of initial value problems for nonlinear perturbed Klein-Gordon equations ⋮ The asymptotic theory of global solutions for semilinear wave equations in three space dimensions ⋮ On the vibrations of a simply supported square plate on a weakly nonlinear elastic foundation ⋮ On aspects of asymptotics for plate equations ⋮ Transparent boundary conditions and numerical computation for singularly perturbed telegraph equation on unbounded domain

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