Degenerate KAM theory for partial differential equations

  title={Degenerate KAM theory for partial differential equations},
  author={Dario Bambusi and Eleonora Magistrelli},
Article history: Received 1 August 2010 Available online 16 November 2010 MSC: 37K55 35L05 This paper deals with degenerate KAM theory for lower dimensional elliptic tori of infinite dimensional Hamiltonian systems, depending on one parameter only. We assume that the linear frequencies are analytic functions of the parameter, satisfy a weak non-degeneracy condition of Rüssmann type and an asymptotic behavior. An application to nonlinear wave equations is given. © 2010 Elsevier Inc. All rights… CONTINUE READING

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