Existence of solutions for a semilinear wave equation with non-monotone nonlinearity

DOI10.3934/dcds.2010.28.649zbMath1204.35120OpenAlexW1970284234MaRDI QIDQ983458

Benjamin Preskill, Alfonso Castro

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.649

zbMATH Keywords

characteristic linesasymptotically linear nonlinearityDirichlet-periodic problemdouble-periodic problemforced wave equationno resonance

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Second-order semilinear hyperbolic equations (35L71)

Related Items (3)

Existence of solutions for a wave equation with non-monotone nonlinearity and a small parameter ⋮ Existence of \(L^p\)-solutions for a semilinear wave equation with non-monotone nonlinearity ⋮ Bifurcation at infinity for a semilinear wave equation with non-monotone nonlinearity

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