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Quasi-invariant gaussian measures for the nonlinear wave equation

GFM seminar
FCUL, C6, room 6.2.33
2016-10-27 13:30 .. 14:30
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by Nikolay Tzvetkov (Univ. de Cergy-Pontoise)

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 (Edinburg University).

Note: This is a GFMUL/CMAFCIO seminar.