Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions

DOI10.1016/S0294-1449(16)30323-7zbMath0679.34038MaRDI QIDQ1822675

Milan Stedry

Publication date: 1989

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1989__6_3_209_0

zbMATH Keywords

Schauder's theoremtelegraph equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Second-order hyperbolic equations (35L10)

Related Items (6)

Time-periodic solutions to quasilinear telegraph equations with large data ⋮ Weakly damped quasilinear wave equation: existence of time-periodic solutions ⋮ Bounded, almost-periodic, and periodic solutions to fully nonlinear telegraph equations ⋮ Global in time solutions to quasilinear telegraph equations involving operators with time delay ⋮ Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs ⋮ Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations

Cites Work

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• Global existence of small solutions to nonlinear evolution equations
• Local existence of \(C^{\infty}\)-solution for the initial-boundary value problem of fully nonlinear wave equation
• Soluzioni periodiche dell'equazione delle onde con termine dissipativo non lineare
• Time-periodic solutions of telegraph equations in $n$ spatial variables
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Periodic solutions of nonlinear hyperbolic partial differential equations. II

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