5 citations · 7 across the 5 of their papers we have counts for
5 papers
A Note on the instability of equilibria for distribution dependent SDEs
Shao-Qin Zhang
Motivated by the possible existence of multiple stationary distributions, we investigate the stability and instability of individual stationary distributions for distribution-depen…
Local Convergence near Equilibria for Distribution-Dependent SDEs in a Generalized Kantorovich--Rubinstein Metric
Shao-Qin Zhang
Owing to exhibiting phase transitions, we investigate the local convergence near a stationary distribution for distribution dependent stochastic differential equations. By lineariz…
A Local Bifurcation Theorem for McKean-Vlasov Diffusions
Shao-Qin Zhang
We establish an existence result of a solution to a class of probability measure-valued equations, whose solutions can be associated with stationary distributions of many McKean-Vl…
A Zvonkin's transformation for stochastic differential equations with singular drift and related applications
Chenggui Yuan, Shao-Qin Zhang
In this paper, by establishing the - estimate and Sobolev estimates for parabolic partial differential equations with a singular first order term and a Lipschitz first or…
Harnack inequalities for - stochastic Klein-Gordon type equations
Zhang Shao-Qin
By the coupling method, we establish the Harnack inequalities, derivative formula and Driver's integration by parts formula for the stochastic Klein-Gordon type equations in the in…