Some Recent Preprints in PDF Format
(All the preprints below, unless otherwise specified, have been submitted for publication)
Dirichlet heat kernel estimates for &Delta
&alpha/2
+ &Delta
&beta/2
(with P. Kim and R. Song)
Sharp heat kernel estimates for relativistic stable processes in open sets
(with P. Kim and R. Song)
Global heat kernel estimates for fractional Laplacians in unbounded open sets
To appear in
Probab. Theory Relat. Fields
. (with J. Tokle)
Regularity of harmonic functions for a class of singular stable-like processes.
To appear in
Math. Z.
(with R. F. Bass)
Boundary Harnack principle for &Delta + &Delta
&alpha/2
.
(with P. Kim, R. Song and Z. Vondracek)
Symmetric jump processes and their heat kernel estimates
(survey article)
Sci. China Ser. A
52
(2009), 1423-1445.
On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces.
To appear in
Acta Mathematica Sinica, English Series
(with P. Kim and T. Kumagai)
On notions of harmonicity
Proc. Amer. Math. Soc.
137
(2009), 3497-3510.
A priori Hölder estimate, parabolic Harnack principle and heat kernel estimates for diffusions with jumps
To appear in
Revista Matematica Iberoamericana
(with T. Kumagai)
Two-sided heat kernel estimates for censored stable-like processes.
To appear in
Probab. Theory Relat. Fields
. (with P. Kim and R. Song)
Heat kernel estimates for Dirichlet fractional Laplacian.
To appear in
J. Euro. Math. Soc.
(with P. Kim and R. Song)
Stochastic evolution equations driven by stable processes.
(with T.-S. Zhang)
On general perturbations of symmetric Markov processes.
To appear in
J. Math. Pures et Appliquées
(with P. Fitzsimmons, K. Kuwae and T.-S. Zhang)
Interacting superprocesses with discontinuous spatial motion and their associated SPDEs.
. (with H. Wang and J. Xiong)
Non-local Dirichlet forms and symmetric jump processes
.
Trans. Amer. Math. Soc.
361
(2009), 1963-1999. (with M. T. Barlow, R. F. Bass and M. Kassmann)
List of Zhen-Qing Chen's Publications and Preprints
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