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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Weak Martingale Solutions for the Stochastic Nonlinear Fractional Schrödinger Equations

## Weak Martingale Solutions for the Stochastic Nonlinear Fractional Schrödinger EquationsAdd to your list(s) Download to your calendar using vCal - Zdzislaw Brzezniak (University of York)
- Monday 14 February 2022, 09:00-10:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. FDE2 - Fractional differential equations I will speak about the existence of Weak Martingale Solutions for the Stochastic Nonlinear fractional Schrödinger Equations on riemannian manifolds. These results are special cases of general results obtained jointly with Lutz Weis and Fabian Hornung. I will also speak about the existence of invariant measures and stationary solutions to such equations obtained jointly with Benedetta Ferrario and Margherita Zanella. I will conclude, if time allows talking about the uniqueness results which so far have been proved for Stochastic Nonlinear (non-fractional) Schrödinger Equations and which generalisations to Stochastic Nonlinear fractional Schrödinger Equations would be of some interested. References: [1] Z. Brzezniak, F. Hornung, and L. Weis, Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. Probab. Theory Related Fields 174, no. 3-4, 1273—1338 (2019) [2] Z. Brzezniak, B. Ferrario and M. Zanella, Invariant measures for a stochastic nonlinear and damped 2D Schr\”odinger equation, arxiv [3] Z. Brzezniak, F. Hornung, and L. Weis, Uniqueness of martingale solutions for the stochastic nonlinear Schr\”odinger equation on 3d compact manifolds, to appear This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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