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In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily symmetric) Markov processes are stable under non-local Feynman-Kac perturbations.
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Z.-Q. Chen, P. J. Fitzsimmons, K. Kuwae and T.-S. Zhang. Perturbation of symmetric Markov processes. Probab. Theory Relat. Fields
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C. Wang. On estimates of the density of Feynman-Kac semigroups of α \alpha -stable-like processes. J. Math. Anal. Appl
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Z.-Q. Chen, P. J. Fitzsimmons, K. Kuwae and T.-S. Zhang. On general perturbations of symmetric Markov processes. J. Math. Pures et Appliquées
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Z.-Q. Chen, P. Kim, and R. Song. Heat kernel estimates for Dirichlet fractional Laplacian. J. European Math. Soc
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L. Riahi. Estimates of Green functions and their applications for parabolic operators with singular potentials. Colloq. Math
2003
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Z.-Q. Chen and P. Kim. Stability of Martin boundary under non-local Feynman-Kac perturbations. Probab. Theory Related Fields
2004
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P. Kim and R. Song. Two-sided estimates on the density of Brownian motion with singular drift. Illinois J. Math
2006
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R. Song. Two-sided estimates on the density of the Feynman-Kac semigroups of stable-like processes. Electron. J. Probab
2006
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K. Bogdan and T. Jakubowski. Estimates of heat kernel of fractional Laplacian perturbed by gradient operators. Comm. Math. Phys
2007
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Z.-Q. Chen, P. Kim and R. Song. Two-sided heat kernel estimates for censored stable-like processes. Probab. Theory Relat. Fields
2010
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2011
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2011
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M. Fukushima, Y. Oshima and M. Takeda. Dirichlet Forms and Symmetric Markov Processes
2011
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