JournalsrlmVol. 24, No. 2pp. 199–214

Existence and stability of quasi-periodic solutions for derivative wave equations

  • Massimiliano Berti

    Università degli Studi di Napoli Federico II, Italy
  • Luca Biasco

    Università degli studi Roma Tre, Italy
  • Michela Procesi

    Università di Roma La Sapienza, Italy
Existence and stability of quasi-periodic solutions for derivative wave equations cover
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Abstract

In this note we present the new KAM result in [3] which proves the existence of Cantor families of small amplitude, analytic, quasi-periodic solutions of derivative wave equations, with zero Lyapunov exponents and whose linearized equation is reducible to constant coefficients. In turn, this result is derived by an abstract KAM theorem for infinite dimensional reversible dynamical systems.

Cite this article

Massimiliano Berti, Luca Biasco, Michela Procesi, Existence and stability of quasi-periodic solutions for derivative wave equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 24 (2013), no. 2, pp. 199–214

DOI 10.4171/RLM/652