activity
20072009
most citedTime-reversal and elliptic boundary value problems

24 citations · 47 across the 6 of their papers we have counts for

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Showing math.PRShow all

6 papers · 1 filter

math.PR2009

Boundary Harnack principle for

Zhen-Qing Chen, Panki Kim, Renming Song +1

For and , consider the family of pseudo differential operators on that evolves continuously from to .…

math.PR200924 cited

Time-reversal and elliptic boundary value problems

Zhen-Qing Chen, Tusheng Zhang

In this paper, we prove that there exists a unique, bounded continuous weak solution to the Dirichlet boundary value problem for a general class of second-order elliptic operators…

math.PR20091 cited

Global Heat Kernel Estimates for Fractional Laplacians in Unbounded Open Sets

Zhen-Qing Chen, Joshua Tokle

In this paper, we derive global sharp heat kernel estimates for symmetric alpha-stable processes (or equivalently, for the fractional Laplacian with zero exterior condition) in two…

math.PR2009

Regularity of harmonic functions for a class of singular stable-like processes

Richard F. Bass, Zhen-Qing Chen

We consider the system of stochastic differential equations dX_t=A(X_{t-}) dZ_t, where Z_t^1, ..., Z^d_t are independent one-dimensional symmetric stable processes of order α, and…

math.PR2008

On notions of harmonicity

Zhen-Qing Chen

In this paper, we address the equivalence of the analytic and probabilistic notions of harmonicity in the context of general symmetric Hunt processes on locally compact separable m…

math.PR200722 cited

Schramm-Loewner Equations Driven by Symmetric Stable Processes

Zhen-Qing Chen, Steffen Rohde

We consider shape, size and regularity of the hulls of the chordal Schramm-Loewner evolution driven by a symmetric alpha-stable process. We obtain derivative estimates, show that t…