Existence and uniqueness for a variational hyperbolic system without resonance

DOI10.1016/0362-546X(80)90024-3zbMath0456.35051MaRDI QIDQ3905820

Peter W. Bates, Alfonso Castro

Publication date: 1980

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

zbMATH Keywords

weak solutionvariational methodsnonlinear wave equationexistence and uniquenessboundary conditionGalerkin approximationspectrum condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

• An existence theorem for periodically perturbed conservative systems
• On saddle point problems in the calculus of variations, the Rity algorithm, and monotone convergence