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Quasi-periodic solutions of nonlinear elliptic partial differential equations

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Abstract

In a recent paper [9] the KAM theory has been extended to non-linear partial differential equations, to construct quasi-periodic solutions. In this article this theory is illustrated with three typical examples: an elliptic partial differential equation, an ordinary differential equation and a difference equation related to monotone twist mappings.

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Authors and Affiliations

  1. Eidg. Techn. Hochschule, Zürich

    Jürgen Moser

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  1. Jürgen Moser
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Moser, J. Quasi-periodic solutions of nonlinear elliptic partial differential equations. Bol. Soc. Bras. Mat 20, 29–45 (1989). https://doi.org/10.1007/BF02585466

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  • DOI: https://doi.org/10.1007/BF02585466

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