Jiahui Zhu

most citedMaximal inequality of Stochastic convolution driven by compensated Poisson random measures in Banach spaces

14 citations · 21 across the 3 of their papers we have counts for

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math.PR2011

A maximal inequality for stochastic convolutions in 2-smooth Banach spaces

Jan van Neerven, Jiahui Zhu

Let (e^{tA})_{t \geq 0} be a C_0-contraction semigroup on a 2-smooth Banach space E, let (W_t)_{t \geq 0} be a cylindrical Brownian motion in a Hilbert space H, and let (g_t)_{t \g…

math.PR2010★ 7 cited

Stochastic nonlinear beam equations driven by compensated Poisson random measures

Zdzisław Brzeźniak, Jiahui Zhu

We consider a type of stochastic nonlinear beam equation driven by Lévy noise. By using a suitable Lyapunov function and applying the Khasminskii test we show the nonexplosion of t…

math.PR2010★ 14 cited

Maximal inequality of Stochastic convolution driven by compensated Poisson random measures in Banach spaces

Jiahui Zhu, Zdzisław Brzeźniak, Erika Hausenblas

Let $(E, ∥ \cdot ∥)$ be a Banach space such that, for some $q \geq 2$ , the function $x \mapsto ∥ x ∥^{q}$ is of $C^{2}$ class and its first and second Fréchet derivatives are bounded by…