In these lectures we present an extension of Birkhoff normal form theorem to some Hamiltonian PDEs. The theorem applies to semilinear equations with nonlinearity of a suitable class.We present an application to the nonlinear wave equation on a segment or on a sphere. We also give a complete proof of all the results.
A Birkhoff normal form theorem for some semilinear PDEs / D. Bambusi - In: Hamiltonian dynamical systems and applications : proceedings of the NATO Advanced Study Institute on Hamiltonian Dynamical Systems and Applications, Montréal, Canada, 18-29 June 2007 / [a cura di] W. Craig. - Dordrecht : Springer, 2008. - ISBN 9781402069628. - pp. 213-247 (( convegno NATO Advanced Study Institute on Hamiltonian Dynamical Systems and Applications tenutosi a Montréal nel 2007.
A Birkhoff normal form theorem for some semilinear PDEs
D. BambusiPrimo
2008
Abstract
In these lectures we present an extension of Birkhoff normal form theorem to some Hamiltonian PDEs. The theorem applies to semilinear equations with nonlinearity of a suitable class.We present an application to the nonlinear wave equation on a segment or on a sphere. We also give a complete proof of all the results.
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