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KAM for Reversible Derivative Wave Equations

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Abstract

We prove the existence of Cantor families of small amplitude, analytic, linearly stable quasi-periodic solutions of reversible derivative wave equations.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Via Cintia, Monte S. Angelo, 80126, Naples, Italy

    Massimiliano Berti

  2. SISSA, Via Bonomea 265, 34136, Trieste, Italy

    Massimiliano Berti

  3. Dipartimento di Matematica e Fisica, Università “Roma Tre”, Largo S. L. Murialdo 1, 00146, Rome, Italy

    Luca Biasco

  4. Dipartimento di Matematica “G. Castelnuovo”, Università degli Studi di Roma la Sapienza, P.le A. Moro 5, 00185, Rome, Italy

    Michela Procesi

Authors
  1. Massimiliano Berti
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  2. Luca Biasco
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  3. Michela Procesi
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Corresponding author

Correspondence to Massimiliano Berti.

Additional information

This research was supported by the European Research Council under FP7 and partially by the PRIN2009 grant “Critical point theory and perturbative methods for nonlinear differential equations.”

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Berti, M., Biasco, L. & Procesi, M. KAM for Reversible Derivative Wave Equations. Arch Rational Mech Anal 212, 905–955 (2014). https://doi.org/10.1007/s00205-014-0726-0

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  • DOI: https://doi.org/10.1007/s00205-014-0726-0

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