Asymptotics for a class of semilinear hyperbolic equations with an application to a problem with a quadratic nonlinearity

DOI10.1016/0362-546X(92)90018-AzbMath0780.35063OpenAlexW2128576630MaRDI QIDQ4032197

Wim T. van Horssen

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90018-a

zbMATH Keywords

initial-boundary value problemasymptotic expansionwell-posednessquadratic nonlinearitysemilinear hyperbolic 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) Perturbations in context of PDEs (35B20)

Related Items

Asymptotic analysis of a class of three-degree-of-freedom Hamiltonian systems near stable equilibria, 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, Accuracy improvement of the method of multiple scales for nonlinear vibration analyses of continuous systems with quadratic and cubic nonlinearities, The asymptotic theory of initial value problems for semilinear perturbed wave equations 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

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