39 citations · 503 across the 77 of their papers we have counts for
4 papers · 1 filter
Dirichlet problem for supercritical nonlocal operators
Xicheng Zhang, Guohuan Zhao
Let be a bounded -domain. Consider the following Dirichlet initial-boundary problem of nonlocal operators with a drift: $$ \partial_t u={\mathscr L}^{(α)}_κu+b\cdot \nabla…
Well-posedness of distribution dependent SDEs with singular drifts
Michael Röckner, Xicheng Zhang
Consider the following distribution dependent SDE: where stands for the distribution…
Optimal gradient estimates of heat kernels of stable-like operators
Kai Du, Xicheng Zhang
In this note we show the optimal gradient estimate for heat kernels of stable-like operators by providing a counterexample.
Strong Uniqueness of Degenerate SDEs with Hölder diffusion coefficients
Zhen Wang, Xicheng Zhang
In this paper we prove a new strong uniqueness result and a weak existence result for possibly {\it degenerate} multidimensional stochastic differential equations with Sobolev diff…