2 papers
math.AP2026
NLS with exponential nonlinearity on compact surfaces
Filone G. Longmou-Moffo, Mouhamadou Sy
In this paper, we establish a probabilistic global theory in for the NLS with a Moser-Trudinger nonlinearity posed on compact surfaces. This equation is known to be the two d…
math.AP2025
Probabilistic global-wellposedness for the energy-supercritical Schrödinger equations on compact manifolds
Seynabou Gueye, Filone G. Longmou-Moffo, Mouhamadou Sy
We consider the nonlinear Schrödinger equations with a general nonlinearity power in all dimensions. We construct invariant measures concentrated on Sobolev spaces of singula…