4 citations · 9 across the 4 of their papers we have counts for
4 papers
A probabilistic Harnack inequality and strict positivity of stochastic partial differential equations
Zhenan Wang
Under general conditions we show an a priori probabilistic Harnack inequality for the non-negative solution of a stochastic partial differential equation of the following form d_tu…
Bismut's gradient formula for vector bundles
Elton P. Hsu, Zhenan Wang
We prove a general Bismut's formula for the gradient of a class of smooth Wiener functionals over vector bundles of a compact Riemannian manifold. This general formula can be used…
Stochastic De Giorgi Iteration and Regularity of Stochastic Partial Differential Equation
Elton P. Hsu, Yu Wang, Zhenan Wang
Under general conditions we show that the solution of a stochastic parabolic partial differential equation of the form \[ \partial_t u = \mathrm{div} (A \nabla u) + f(t,x, u) + g_i…
Critical values of Gaussian SU(2) random polynomials
Renjie Feng, Zhenan Wang
In this note, we will get the estimate of the expected distribution of critical values of Gaussian SU(2) random polynomials as the degree large enough. The result is a direct appli…