Annie Millet

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math.AP2025

Well-posedness of the focusing stochastic nonlinear SchrÃ¶dinger equation: $L^{2}$ -critical and supercritical cases

Annie Millet, Svetlana Roudenko

We study the focusing $L^{2}$ -critical and supercritical stochastic nonlinear SchrÃ¶dinger equation subject to additive or multiplicative noise. We investigate global or long time be…

math.AP2025

New invariant surface measures for the cubic SchrÃ¶dinger equation

Jean-Baptiste Casteras, Ana Bela Cruzeiro, Annie Millet

We construct new invariant measures supported on mass level sets for the cubic defocusing nonlinear SchrÃ¶dinger equation in dimensions $1$ and $2$ .

Well-posedness of the focusing stochastic nonlinear SchrÃ¶dinger equation: L2-critical and supercritical cases

New invariant surface measures for the cubic SchrÃ¶dinger equation

Well-posedness of the focusing stochastic nonlinear SchrÃ¶dinger equation: $L^{2}$ -critical and supercritical cases