Bae, Joohak; Kim, Panki On estimates of transition density for subordinate Brownian motions with Gaussian components in \(C^{1,1}\)-open sets. (English) Zbl 1434.60204 Potential Anal. 52, No. 4, 661-687 (2020). MSC: 60J35 60J50 60J76 47G20 PDFBibTeX XMLCite \textit{J. Bae} and \textit{P. Kim}, Potential Anal. 52, No. 4, 661--687 (2020; Zbl 1434.60204) Full Text: DOI arXiv
Kim, Panki; Song, Renming; Vondraček, Zoran Potential theory of subordinate killed Brownian motion. (English) Zbl 1450.60040 Trans. Am. Math. Soc. 371, No. 6, 3917-3969 (2019). Reviewer: Hrvoje Šikić (Zagreb) MSC: 60J45 60J50 60J76 PDFBibTeX XMLCite \textit{P. Kim} et al., Trans. Am. Math. Soc. 371, No. 6, 3917--3969 (2019; Zbl 1450.60040) Full Text: DOI arXiv
Kim, Panki; Mimica, Ante Estimates of Dirichlet heat kernels for subordinate Brownian motions. (English) Zbl 1410.60082 Electron. J. Probab. 23, Paper No. 64, 45 p. (2018). MSC: 60J75 60J35 60J50 47D07 PDFBibTeX XMLCite \textit{P. Kim} and \textit{A. Mimica}, Electron. J. Probab. 23, Paper No. 64, 45 p. (2018; Zbl 1410.60082) Full Text: DOI arXiv Euclid
Kim, Panki; Song, Renming; Vondraček, Zoran Heat kernels of non-symmetric jump processes: beyond the stable case. (English) Zbl 1409.60116 Potential Anal. 49, No. 1, 37-90 (2018). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60J35 60J75 PDFBibTeX XMLCite \textit{P. Kim} et al., Potential Anal. 49, No. 1, 37--90 (2018; Zbl 1409.60116) Full Text: DOI arXiv
Kim, Panki; Mimica, Ante Asymptotical properties of distributions of isotropic Lévy processes. (English) Zbl 1396.60050 Stochastic Processes Appl. 128, No. 8, 2688-2709 (2018). MSC: 60G51 60J35 60F99 PDFBibTeX XMLCite \textit{P. Kim} and \textit{A. Mimica}, Stochastic Processes Appl. 128, No. 8, 2688--2709 (2018; Zbl 1396.60050) Full Text: DOI arXiv
Kim, Panki; Song, Renming; Vondraček, Zoran Minimal thinness with respect to subordinate killed Brownian motions. (English) Zbl 1336.60160 Stochastic Processes Appl. 126, No. 4, 1226-1263 (2016). MSC: 60J65 60J50 60J45 60J75 31C35 31C40 PDFBibTeX XMLCite \textit{P. Kim} et al., Stochastic Processes Appl. 126, No. 4, 1226--1263 (2016; Zbl 1336.60160) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components. (English) Zbl 1333.60179 J. Reine Angew. Math. 711, 111-138 (2016). MSC: 60J65 60G15 35K08 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Reine Angew. Math. 711, 111--138 (2016; Zbl 1333.60179) Full Text: DOI arXiv
Kang, Jaehoon; Kim, Panki Tangential limits for harmonic functions with respect to \(\phi(\Delta)\): stable and beyond. (English) Zbl 1314.31011 Potential Anal. 42, No. 3, 629-644 (2015). MSC: 31B25 60J75 60J45 60J50 PDFBibTeX XMLCite \textit{J. Kang} and \textit{P. Kim}, Potential Anal. 42, No. 3, 629--644 (2015; Zbl 1314.31011) Full Text: DOI arXiv
Kim, Panki; Mimica, Ante Green function estimates for subordinate Brownian motions: stable and beyond. (English) Zbl 1327.60165 Trans. Am. Math. Soc. 366, No. 8, 4383-4422 (2014). Reviewer: Mohamed Hmissi (Riyadh) MSC: 60J65 60J45 60G51 60G52 60J75 PDFBibTeX XMLCite \textit{P. Kim} and \textit{A. Mimica}, Trans. Am. Math. Soc. 366, No. 8, 4383--4422 (2014; Zbl 1327.60165) Full Text: DOI arXiv
Kim, Panki; Song, Renming; Vondraček, Zoran Boundary Harnack principle and Martin boundary at infinity for subordinate Brownian motions. (English) Zbl 1302.60110 Potential Anal. 41, No. 2, 407-441 (2014). Reviewer: Mohamed Hmissi (Tunis) MSC: 60J45 60J25 60J50 PDFBibTeX XMLCite \textit{P. Kim} et al., Potential Anal. 41, No. 2, 407--441 (2014; Zbl 1302.60110) Full Text: DOI arXiv
Kang, Jaehoon; Kim, Panki On estimates of Poisson kernels for symmetric Lévy processes. (English) Zbl 1277.31013 J. Korean Math. Soc. 50, No. 5, 1009-1031 (2013). MSC: 31B25 60J75 60J45 60J50 PDFBibTeX XMLCite \textit{J. Kang} and \textit{P. Kim}, J. Korean Math. Soc. 50, No. 5, 1009--1031 (2013; Zbl 1277.31013) Full Text: DOI
Kim, Panki; Song, Renming; Vondraček, Zoran Potential theory of subordinate Brownian motions with Gaussian components. (English) Zbl 1266.31007 Stochastic Processes Appl. 123, No. 3, 764-795 (2013). MSC: 31B25 31B05 60J75 PDFBibTeX XMLCite \textit{P. Kim} et al., Stochastic Processes Appl. 123, No. 3, 764--795 (2013; Zbl 1266.31007) Full Text: DOI arXiv
Kim, Panki; Lee, Yunju Oscillation of harmonic functions for subordinate Brownian motion and its applications. (English) Zbl 1264.31004 Stochastic Processes Appl. 123, No. 2, 422-445 (2013). Reviewer: Roman Urban (Wrocław) MSC: 31B25 31C35 60J75 PDFBibTeX XMLCite \textit{P. Kim} and \textit{Y. Lee}, Stochastic Processes Appl. 123, No. 2, 422--445 (2013; Zbl 1264.31004) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming; Vondraček, Zoran Boundary Harnack principle for \(\Delta +\Delta ^{\alpha /2}\). (English) Zbl 1271.31006 Trans. Am. Math. Soc. 364, No. 8, 4169-4205 (2012). MSC: 31B25 60J45 47G20 60J75 31B05 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Trans. Am. Math. Soc. 364, No. 8, 4169--4205 (2012; Zbl 1271.31006) Full Text: DOI arXiv
Kim, Panki; Song, Renming; Vondraček, Zoran Potential theory of subordinate Brownian motions revisited. (English) Zbl 1282.60076 Zhang, Tusheng (ed.) et al., Stochastic analysis and applications to finance. Essays in honour of Jia-an Yan on the occasion of his 70th years birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4383-57-8/hbk). Interdisciplinary Mathematical Sciences 13, 243-290 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J25 PDFBibTeX XMLCite \textit{P. Kim} et al., Interdiscip. Math. Sci. 13, 243--290 (2012; Zbl 1282.60076) Full Text: arXiv
Kim, Panki; Song, RenMing; Vondraček, Zoran Uniform boundary Harnack principle for rotationally symmetric Lévy processes in general open sets. (English) Zbl 1262.60077 Sci. China, Math. 55, No. 11, 2317-2333 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J25 60J50 60G51 PDFBibTeX XMLCite \textit{P. Kim} et al., Sci. China, Math. 55, No. 11, 2317--2333 (2012; Zbl 1262.60077) Full Text: DOI arXiv
Kim, Panki; Song, Renming; Vondraček, Zoran Minimal thinness for subordinate Brownian motion in half-space. (English. French summary) Zbl 1273.60096 Ann. Inst. Fourier 62, No. 3, 1045-1080 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J50 31C40 31C35 60J75 PDFBibTeX XMLCite \textit{P. Kim} et al., Ann. Inst. Fourier 62, No. 3, 1045--1080 (2012; Zbl 1273.60096) Full Text: DOI arXiv
Mimica, Ante; Kim, Panki Harnack inequalities for subordinate Brownian motions. (English) Zbl 1248.60092 Electron. J. Probab. 17, Paper No. 37, 23 p. (2012). MSC: 60J45 60G50 60G51 60J25 60J27 PDFBibTeX XMLCite \textit{A. Mimica} and \textit{P. Kim}, Electron. J. Probab. 17, Paper No. 37, 23 p. (2012; Zbl 1248.60092) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Global heat kernel estimates for \(\Delta+\Delta^{\alpha/2}\) in half-space-like domains. (English) Zbl 1247.60115 Electron. J. Probab. 17, Paper No. 32, 32 p. (2012). MSC: 60J35 47G20 60J75 47D07 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Electron. J. Probab. 17, Paper No. 32, 32 p. (2012; Zbl 1247.60115) Full Text: DOI arXiv
Kim, Panki; Song, Renming; Vondraček, Zoran Two-sided Green function estimates for killed subordinate Brownian motions. (English) Zbl 1248.60091 Proc. Lond. Math. Soc. (3) 104, No. 5, 927-958 (2012). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J75 60G51 PDFBibTeX XMLCite \textit{P. Kim} et al., Proc. Lond. Math. Soc. (3) 104, No. 5, 927--958 (2012; Zbl 1248.60091) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming Heat kernel estimates for \(\Delta +\Delta ^{\alpha /2}\) in \(C^{1, 1}\) open sets. (English) Zbl 1229.60089 J. Lond. Math. Soc., II. Ser. 84, No. 1, 58-80 (2011). Reviewer: Alexander Schnurr (Dortmund) MSC: 60J35 47G20 47D07 60J75 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., J. Lond. Math. Soc., II. Ser. 84, No. 1, 58--80 (2011; Zbl 1229.60089) Full Text: DOI arXiv
Chen, Zhen-Qing; Kim, Panki; Song, Renming; Vondraček, Zoran Sharp Green function estimates for \(\Delta + \delta ^{\alpha /2}\) in \(C^{1,1}\) open sets and their applications. (English) Zbl 1257.31002 Ill. J. Math. 54, No. 3, 981-1024 (2010). MSC: 31A20 31B25 60J45 47G20 60J75 31B05 31C35 PDFBibTeX XMLCite \textit{Z.-Q. Chen} et al., Ill. J. Math. 54, No. 3, 981--1024 (2010; Zbl 1257.31002) Full Text: arXiv Euclid
Kim, Panki; Song, Renming; Vondraček, Zoran On the potential theory of one-dimensional subordinate Brownian motions with continuous components. (English) Zbl 1202.60125 Potential Anal. 33, No. 2, 153-173 (2010). Reviewer: Zoran Vondraček (Zagreb) MSC: 60J45 60G51 60J25 60J65 PDFBibTeX XMLCite \textit{P. Kim} et al., Potential Anal. 33, No. 2, 153--173 (2010; Zbl 1202.60125) Full Text: DOI
Kim, Panki; Song, Renming; Vondraček, Zoran Boundary Harnack principle for subordinate Brownian motions. (English) Zbl 1166.60046 Stochastic Processes Appl. 119, No. 5, 1601-1631 (2009). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J25 60J50 31C35 PDFBibTeX XMLCite \textit{P. Kim} et al., Stochastic Processes Appl. 119, No. 5, 1601--1631 (2009; Zbl 1166.60046) Full Text: DOI arXiv
Kim, Panki; Song, Renming On dual processes of non-symmetric diffusions with measure-valued drifts. (English) Zbl 1146.60060 Stochastic Processes Appl. 118, No. 5, 790-817 (2008). Reviewer: Zoran Vondraček (Zagreb) MSC: 60J45 31C35 35P15 60J50 60J60 PDFBibTeX XMLCite \textit{P. Kim} and \textit{R. Song}, Stochastic Processes Appl. 118, No. 5, 790--817 (2008; Zbl 1146.60060) Full Text: DOI arXiv
Kim, Panki; Song, Renming Boundary Harnack principle for Brownian motions with measure-valued drifts in bounded Lipschitz domains. (English) Zbl 1140.60038 Math. Ann. 339, No. 1, 135-174 (2007). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J60 31C35 PDFBibTeX XMLCite \textit{P. Kim} and \textit{R. Song}, Math. Ann. 339, No. 1, 135--174 (2007; Zbl 1140.60038) Full Text: DOI
Kim, Panki; Song, Renming Estimates on Green functions and Schrödinger-type equations for non-symmetric diffusions with measure-valued drifts. (English) Zbl 1118.35007 J. Math. Anal. Appl. 332, No. 1, 57-80 (2007). MSC: 35B45 35R05 35J25 PDFBibTeX XMLCite \textit{P. Kim} and \textit{R. Song}, J. Math. Anal. Appl. 332, No. 1, 57--80 (2007; Zbl 1118.35007) Full Text: DOI arXiv
Kim, Panki Weak convergence of censored and reflected stable processes. (English) Zbl 1105.60007 Stochastic Processes Appl. 116, No. 12, 1792-1814 (2006). MSC: 60B10 60J25 60J35 60G52 46E35 PDFBibTeX XMLCite \textit{P. Kim}, Stochastic Processes Appl. 116, No. 12, 1792--1814 (2006; Zbl 1105.60007) Full Text: DOI