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Thursday, May 22, 2025 - 15:30 in V2-210


Probabilistic global wellposedness for the energy-supercritical Schrödinger equations on compact manifolds

A talk in the SPDEvent series by
Seynabou Gueye from AIMS Senegal

Abstract: We consider the nonlinear Schrödinger equations with a general nonlinearity power in all dimensions. We construct invariant measures concentrated on Sobolev spaces $H^s$ of singular orders, $s \leq d/2$. We prove almost sure global wellposedness and bounds on the growth in time of the solutions via invariant measure arguments.



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