Global uniform boundary Harnack principle with explicit decay rate and its application
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DOI: 10.1016/j.spa.2013.07.007
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References listed on IDEAS
- Kim, Panki & Song, Renming & Vondraček, Zoran, 2013. "Potential theory of subordinate Brownian motions with Gaussian components," Stochastic Processes and their Applications, Elsevier, vol. 123(3), pages 764-795.
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Cited by:
- Grzywny, Tomasz & Kim, Kyung-Youn & Kim, Panki, 2020. "Estimates of Dirichlet heat kernel for symmetric Markov processes," Stochastic Processes and their Applications, Elsevier, vol. 130(1), pages 431-470.
- Ante Mimica & Stjepan Šebek, 2019. "Harnack Inequality for Subordinate Random Walks," Journal of Theoretical Probability, Springer, vol. 32(2), pages 737-764, June.
- Vondraček, Zoran & Wagner, Vanja, 2018. "On purely discontinuous additive functionals of subordinate Brownian motions," Stochastic Processes and their Applications, Elsevier, vol. 128(2), pages 707-725.
- Grzywny, Tomasz & Kwaśnicki, Mateusz, 2018. "Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 128(1), pages 1-38.
- Kim, Kyung-Youn & Kim, Panki, 2014. "Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in C1,η open sets," Stochastic Processes and their Applications, Elsevier, vol. 124(9), pages 3055-3083.
- Mimica, Ante & Vondraček, Zoran, 2014. "Unavoidable collections of balls for isotropic Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 124(3), pages 1303-1334.
- Kim, Panki & Song, Renming & Vondraček, Zoran, 2016. "Minimal thinness with respect to subordinate killed Brownian motions," Stochastic Processes and their Applications, Elsevier, vol. 126(4), pages 1226-1263.
- Xie, Longjie, 2017. "Singular SDEs with critical non-local and non-symmetric Lévy type generator," Stochastic Processes and their Applications, Elsevier, vol. 127(11), pages 3792-3824.
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Keywords
Lévy processes; Subordinate Brownian motions; Harmonic functions; Boundary Harnack principle; Poisson kernel; Heat kernel; Green function;All these keywords.
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