Dear colleagues,
We are happy to announce the following online talk:
Speaker: Zdzislaw Brzezniak (University of York, UK)
Title: The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Levy noise
Date and time: Monday April 26, 17:30-18:30 (Rome time zone)
Abstract: see below
Zoom link:
This talk is the first of the
(PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics
organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico and Milano-Statale. The series will run approximately every fortnight and, for the moment, will be held online.
Participation is free and welcome! (though limited to 100 participants for technical reasons)
Best regards
The organizers (Mario Maurelli, Carlo Orrieri, Maurizia Rossi, Margherita Zanella)
Abstract:
We establish a new version of the stochastic Strichartz estimate for the stochastic convolution driven by jump noise which we apply to the stochastic nonlinear Schrodinger equation with nonlinear multiplicative jump noise in the Marcus canonical form. With the help of the deterministic Strichartz estimates, we prove the existence and uniqueness of a global solution to stochastic nonlinear Schrodinger equation in $L^2(R^n)$ with either focusing or defocusing nonlinearity in the full subcritical range of exponents as in the deterministic case. This talk will be based on a joint paper with Wei Liu and Jiahui Zhu.