33 citations · 61 across the 4 of their papers we have counts for
4 papers
The Stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise
Zdzisław Brzeźniak, Wei Liu, Jiahui Zhu
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…
Maximal inequalities and exponential estimates for stochastic convolutions driven by Lévy-type processes in Banach spaces with application to stochastic quasi-geostrophic equations
Jiahui Zhu, Zdzisław Brzeźniak, Wei Liu
We present remarkably simple proofs of Burkholder-Davis-Gundy inequalities for stochastic integrals and maximal inequalities for stochastic convolutions in Banach spaces driven by…
-solutions for stochastic Navier-Stokes equations with jump noise
Jiahui Zhu, Zdzisław Brzeźniak, Wei Liu
We study the existence and uniqueness of solutions of 2D Stochastic Navier-Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative or…
Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise
Zdzisław Brzeźniak, Wei Liu, Jiahui Zhu
Motivated by applications to a manifold of semilinear and quasilinear stochastic partial differential equations (SPDEs) we establish the existence and uniqueness of strong solution…