Análise

    Quasi-invariant gaussian measures for the nonlinear wave equation

    Nikolay Tzvetkov
    Univ. de Cergy-Pontoise

    Abstract: We will show that a natural class of gaussian measures living on Sobolev spaces of varying regularity are quasi-invariant under the flow of the two dimensional cubic defocusing wave equation. For that purpose, we introduce renormalised energies and we establish the associated energy estimates.
    This is a joint work with Tadahiro Oh (Edinburgh University).

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