39 citations · 503 across the 77 of their papers we have counts for
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math.AP2020★ 1 cited
Maximum principle for non-uniformly parabolic equations and applications
Xicheng Zhang
In this paper we study the global boundedness for the solutions to a class of possibly degenerate parabolic equations by De-Giorgi's iteration. As applications, we show the existen…
math.AP2020★ 2 cited
Heat kernels for time-dependent non-symmetric mixed Lévy-type operators
Zhen-Qing Chen, Xicheng Zhang
In this paper we establish the existence and uniqueness of heat kernels to a large class of time-inhomogenous non-symmetric nonlocal operators with Dini's continuous kernels. Moreo…
math.AP2020★ 4 cited
Density and gradient estimates for non degenerate Brownian SDEs with unbounded measurable drift
S. Menozzi, A. Pesce, X. Zhang
We consider non degenerate Brownian SDEs with H{ö}lder continuous in space diffusion coefficient and unbounded drift with linear growth. We derive two sided bounds for the associat…