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A Birkhoff normal form theorem for some semilinear PDEs

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Hamiltonian Dynamical Systems and Applications

Part of the book series: NATO Science for Peace and Security Series ((NAPSB))

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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Authors and Affiliations

  1. Dipartimento di Matematica dell'Università, 20133, Milano, Italy

    D. Bambusi

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  1. D. Bambusi
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Editors and Affiliations

  1. McMaster University, L8S 4K1, Hamilton, ON, Canada

    Walter Craig

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Bambusi, D. (2008). A Birkhoff normal form theorem for some semilinear PDEs. In: Craig, W. (eds) Hamiltonian Dynamical Systems and Applications. NATO Science for Peace and Security Series. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6964-2_11

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