Quasi-invariant gaussian measures for the nonlinear wave equation
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.