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SUMMARY:The stochastic Strichartz estimates and stochastic nonlinear  Schr
 \\"{o}dinger equations driven by Lévy noise in the Marcus canonical form 
 - Zdzislaw Brzezniak (University of York)
DTSTART:20220323T113000Z
DTEND:20220323T120000Z
UID:TALK171695@talks.cam.ac.uk
DESCRIPTION:We establish a new version of the stochastic Strichartz estima
 te for the stochastic convolution driven by jump noise which we apply to t
 he stochastic nonlinear Schr\\"{o}dinger equation with nonlinear multiplic
 ative jump noise in the Marcus canonical form.&nbsp\; With the help of the
  deterministic Strichartz estimates\, we prove the existence and uniquenes
 s of a global solution to stochastic nonlinear Schr\\"{o}dinger equation i
 n $L^2(\\RR^n)$ with either focusing or defocusing nonlinearity in the ful
 l subcritical range of exponents as in the deterministic case. This talk i
 s based on a joint work with Jiahui Zhu &nbsp\;and W. Liu.
LOCATION:Seminar Room 1\, Newton Institute
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