Periodic solutions of wave equations for asymptotically full measure sets of frequencies

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dc.creatorBaldi, Pietro
dc.creatorBerti, Massimiliano
dc.date2005-12-02
dc.date.accessioned2026-07-07T06:54:47Z
dc.date.available2026-07-07T06:54:47Z
dc.descriptionWe prove existence and multiplicity of small amplitude periodic solutions of the completely resonant wave equation u_tt - u_xx + f(x,u)=0 with Dirichlet boundary conditions where f(x,u)=a_2 u^2 + a_3(x) u^3 + O(u^4) or f(x,u)= a_4 u^4 + O(u^5) for a Cantor-like set of frequencies omega of asymptotically full measure at omega=1.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0512053
dc.identifierhttp://arxiv.org/abs/math/0512053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106066
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject35L05; 35B10; 37K50
dc.titlePeriodic solutions of wave equations for asymptotically full measure sets of frequencies
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