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- W2064822056 abstract "In this paper, one--dimensional ($1D$) resonant beam equation$u_{t t} +u_{x x x x} +u^3=0,$with hinged boundary conditions is considered. It is proved thatthe above equation admits small-amplitude quasi-periodic solutionscorresponding to finite dimensional invariant tori of anassociated infinite dimensional dynamical system. The proof isbased on infinite dimensional KAM theorem, partial normal form andscaling skills." @default.
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- W2064822056 date "2006-01-01" @default.
- W2064822056 modified "2023-10-16" @default.
- W2064822056 title "Quasi-periodic solutions for 1D resonant beam equation" @default.
- W2064822056 doi "https://doi.org/10.3934/cpaa.2006.5.839" @default.
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