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 Schrödinger 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 Schrödinger equation in L2(Rn) with either focusing or defocusing nonlinearity in the full subcritical range of exponents as in the deterministic case.
Bibliographical noteFunding Information:
This work is supported in part by NSFC ( 12071433 , 11822106 , 11831014 , 12090011 , 11501509 ) and PAPD of Jiangsu Higher Education Institutions.
© 2021 Elsevier Inc.
- Lévy noise
- Marcus canonical form
- Nonlinear Schrödinger equation
- Stochastic Strichartz estimate