Thursday, May 22, 2025 - 14:00 in V2-210
Global well-posedness of nonlinear Schrödinger equation with Moser Trudinger non-linearity on $H^1$
A talk in the SPDEvent series by
Longmou Moffo Filone Gilson from AIMS Senegal
| Abstract: |
In this talk, we establish the existence and uniqueness of global $H^1$ solutions to the nonlinear Schrödinger equation with a Moser–Trudinger type nonlinearity, using the invariant measure approach. The existence of probabilistic solutions was previously obtained by Jean-Baptiste Casteras and Léonard Monsaingon, who highlighted the serious issue of uniqueness. Our main goal here is to construct a probabilistic framework that ensures both existence and uniqueness. The uniqueness argument follows the classical Yudovich procedure.
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