scientific article

zbMath0518.35057MaRDI QIDQ3667296

Walter Craig

Publication date: 1983

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1983_4_10_1_125_0

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zbMATH Keywords

Lyapunov-Schmidt decompositionnonlinear dissipative hyperbolic equationsNash-Moser implicit function theorems

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Bifurcations in context of PDEs (35B32)

Related Items (8)

Time-periodic solutions to quasilinear telegraph equations with large data ⋮ Weakly damped quasilinear wave equation: existence of time-periodic solutions ⋮ Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations ⋮ Periodic solutions to Maxwell equations in nonlinear media ⋮ Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs ⋮ A new method for the existence of solutions of nonlinear differential equations ⋮ Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations ⋮ Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions

Cites Work

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• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Global existence for nonlinear wave equations
• Non‐coercive boundary value problems
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Degenerate elliptic‐parabolic equations of second order
• Periodic solutions of nonlinear hyperbolic partial differential equations. II

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