Some Recent Preprints in PDF Format

• Heat kernel estimate for &Delta + &Delta^&alpha/2 in C^1,1 open sets   (with P. Kim and R. Song)
  
  
• Archimedes' principle for Brownian liquid.   (with K. Burdzy and S. Pal)
  
  
• On subhamonicity for symmetric Markov processes   (with K. Kuwae)
  
  
• Sharp Green function estimates for &Delta + &Delta^&alpha/2 in C^1,1 open sets and their applications.   (with P. Kim, R. Song and Z. Vondracek)
  
  
• An L²-theory on SPDE driven by Lévy processes   (with K.-H. Kim)
  
  
• 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.   Acta Mathematica Sinica, English Series 25 (2009), 1067-1086. (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)
  
  
• 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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