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Invariant measures of homeomorphisms and applications to the stability of an hyperbolic PDE

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Abstract.

Using the invariant measures of homeomorphisms, we study in this paper the asymptotic behavior of the energy E(t) of an hyperbolic partial differential equation in amoving domain. The behavior of E(t) as t ⊸ ∞ depends essentially on the number theoretical characteristics of the rotation number of the homeomorphism.

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  1. Institut de Mathematiques, Universite de Fribourg, Perolles, CH-1700, Fribourg, SWITZERLAND

    Mohammed Aassila

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  1. Mohammed Aassila
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Correspondence to Mohammed Aassila.

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Aassila, M. Invariant measures of homeomorphisms and applications to the stability of an hyperbolic PDE. Bull Braz Math Soc, New Series 35, 83–122 (2004). https://doi.org/10.1007/s00574-004-0005-z

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  • DOI: https://doi.org/10.1007/s00574-004-0005-z

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