Duan, Junxia; Peng, Jun The probabilistic solution of a system of semilinear elliptic PDEs under the third boundary conditions. (English) Zbl 07785419 Potential Anal. 59, No. 4, 1571-1597 (2023). MSC: 35J57 35J61 31C25 60H15 60J60 PDFBibTeX XMLCite \textit{J. Duan} and \textit{J. Peng}, Potential Anal. 59, No. 4, 1571--1597 (2023; Zbl 07785419) Full Text: DOI
Klimsiak, Tomasz Uniqueness for an obstacle problem arising from logistic-type equations with fractional Laplacian. (English) Zbl 1523.35305 Potential Anal. 59, No. 3, 897-916 (2023). MSC: 35R35 35A02 35J86 35R11 PDFBibTeX XMLCite \textit{T. Klimsiak}, Potential Anal. 59, No. 3, 897--916 (2023; Zbl 1523.35305) Full Text: DOI arXiv OA License
Ryznar, M.; Serafin, G.; Żak, T. Hyperbolic Green function estimates. (English) Zbl 1475.60146 Potential Anal. 54, No. 3, 535-559 (2021). Reviewer: Liping Li (Beijing) MSC: 60J45 60J65 PDFBibTeX XMLCite \textit{M. Ryznar} et al., Potential Anal. 54, No. 3, 535--559 (2021; Zbl 1475.60146) Full Text: DOI
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz Remarks on the nonlocal Dirichlet problem. (English) Zbl 1456.35059 Potential Anal. 54, No. 1, 119-151 (2021). MSC: 35B65 35C15 35R09 47G20 60J45 PDFBibTeX XMLCite \textit{T. Grzywny} et al., Potential Anal. 54, No. 1, 119--151 (2021; Zbl 1456.35059) Full Text: DOI arXiv
Noba, Kei Approximation and duality problems of refracted processes. (English) Zbl 1453.60134 Potential Anal. 53, No. 2, 591-612 (2020). MSC: 60J25 60G51 PDFBibTeX XMLCite \textit{K. Noba}, Potential Anal. 53, No. 2, 591--612 (2020; Zbl 1453.60134) Full Text: DOI arXiv
Matsuura, Kouhei Doubly Feller property of Brownian motions with Robin boundary condition. (English) Zbl 1442.31006 Potential Anal. 53, No. 1, 23-53 (2020). MSC: 31C25 60J65 PDFBibTeX XMLCite \textit{K. Matsuura}, Potential Anal. 53, No. 1, 23--53 (2020; Zbl 1442.31006) Full Text: DOI arXiv
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
Klimsiak, Tomasz; Rozkosz, Andrzej Large time behavior of solutions to parabolic equations with Dirichlet operators and nonlinear dependence on measure data. (English) Zbl 1416.35040 Potential Anal. 51, No. 2, 255-289 (2019). MSC: 35B40 35K58 60H30 35R60 PDFBibTeX XMLCite \textit{T. Klimsiak} and \textit{A. Rozkosz}, Potential Anal. 51, No. 2, 255--289 (2019; Zbl 1416.35040) Full Text: DOI arXiv
Ben Chrouda, Mohamed; Ben Fredj, Mahmoud Nonnegative entire bounded solutions to some semilinear equations involving the fractional Laplacian. (English) Zbl 1392.35142 Potential Anal. 48, No. 4, 495-513 (2018). MSC: 35J61 35R11 31C05 PDFBibTeX XMLCite \textit{M. Ben Chrouda} and \textit{M. Ben Fredj}, Potential Anal. 48, No. 4, 495--513 (2018; Zbl 1392.35142) Full Text: DOI arXiv
Chen, Le; Hu, Yaozhong; Nualart, David Two-point correlation function and Feynman-Kac formula for the stochastic heat equation. (English) Zbl 1367.60079 Potential Anal. 46, No. 4, 779-797 (2017). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60H07 60J65 60J55 PDFBibTeX XMLCite \textit{L. Chen} et al., Potential Anal. 46, No. 4, 779--797 (2017; Zbl 1367.60079) Full Text: DOI arXiv
Kaleta, Kamil; Lörinczi, József Fall-off of eigenfunctions for non-local Schrödinger operators with decaying potentials. (English) Zbl 1367.47049 Potential Anal. 46, No. 4, 647-688 (2017). MSC: 47D08 60G51 47D03 47G20 PDFBibTeX XMLCite \textit{K. Kaleta} and \textit{J. Lörinczi}, Potential Anal. 46, No. 4, 647--688 (2017; Zbl 1367.47049) Full Text: DOI arXiv Link
Capitanelli, Raffaela; D’Ovidio, Mirko Skew Brownian diffusions across Koch interfaces. (English) Zbl 1367.60102 Potential Anal. 46, No. 3, 431-461 (2017). Reviewer: René L. Schilling (Dresden) MSC: 60J65 60J60 60J55 35J25 28A80 PDFBibTeX XMLCite \textit{R. Capitanelli} and \textit{M. D'Ovidio}, Potential Anal. 46, No. 3, 431--461 (2017; Zbl 1367.60102) Full Text: DOI arXiv Link
Shiozawa, Yuichi; Wang, Jian Rate functions for symmetric Markov processes via heat kernel. (English) Zbl 1365.60069 Potential Anal. 46, No. 1, 23-53 (2017). Reviewer: Alexander Schnurr (Siegen) MSC: 60J25 60G51 60G52 60J75 60F20 PDFBibTeX XMLCite \textit{Y. Shiozawa} and \textit{J. Wang}, Potential Anal. 46, No. 1, 23--53 (2017; Zbl 1365.60069) Full Text: DOI arXiv
Albeverio, Sergio; Di Persio, Luca; Mastrogiacomo, Elisa; Smii, Boubaker A class of Lévy driven SDEs and their explicit invariant measures. (English) Zbl 1350.60049 Potential Anal. 45, No. 2, 229-259 (2016). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H10 60H15 60H20 60G51 60J35 60G10 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Potential Anal. 45, No. 2, 229--259 (2016; Zbl 1350.60049) Full Text: DOI arXiv
Kim, Kyung-Youn Global heat kernel estimates for symmetric Markov processes dominated by stable-like processes in exterior \(C^{1,\eta}\) open sets. (English) Zbl 1330.60103 Potential Anal. 43, No. 2, 127-148 (2015). Reviewer: Nicola Cufaro Petroni (Bari) MSC: 60J75 60J35 60G52 47D07 47G20 PDFBibTeX XMLCite \textit{K.-Y. Kim}, Potential Anal. 43, No. 2, 127--148 (2015; Zbl 1330.60103) Full Text: DOI arXiv
Beznea, Lucian; Röckner, Michael On the existence of the dual right Markov process and applications. (English) Zbl 1317.60094 Potential Anal. 42, No. 3, 617-627 (2015). MSC: 60J40 60J45 60J35 60G44 31C25 PDFBibTeX XMLCite \textit{L. Beznea} and \textit{M. Röckner}, Potential Anal. 42, No. 3, 617--627 (2015; Zbl 1317.60094) Full Text: DOI
Kim, Panki; Song, Renming Dirichlet heat kernel estimates for stable processes with singular drift in unbounded \(C^{1,1}\) open sets. (English) Zbl 1301.60088 Potential Anal. 41, No. 2, 555-581 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60J35 47D07 60J75 PDFBibTeX XMLCite \textit{P. Kim} and \textit{R. Song}, Potential Anal. 41, No. 2, 555--581 (2014; Zbl 1301.60088) Full Text: DOI
Huang, Xueping A note on the volume growth criterion for stochastic completeness of weighted graphs. (English) Zbl 1282.05061 Potential Anal. 40, No. 2, 117-142 (2014). MSC: 05C22 05C81 60J27 PDFBibTeX XMLCite \textit{X. Huang}, Potential Anal. 40, No. 2, 117--142 (2014; Zbl 1282.05061) Full Text: DOI arXiv
Bogdan, Krzysztof; Hansen, Wolfhard; Jakubowski, Tomasz Localization and Schrödinger perturbations of kernels. (English) Zbl 1275.47032 Potential Anal. 39, No. 1, 13-28 (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 47A55 60J35 PDFBibTeX XMLCite \textit{K. Bogdan} et al., Potential Anal. 39, No. 1, 13--28 (2013; Zbl 1275.47032) Full Text: DOI arXiv
Kulczycki, Tadeusz Gradient estimates of \(q\)-harmonic functions of fractional Schrödinger operator. (English) Zbl 1317.35283 Potential Anal. 39, No. 1, 69-98 (2013). MSC: 35R11 31B30 35B45 35B65 60J45 PDFBibTeX XMLCite \textit{T. Kulczycki}, Potential Anal. 39, No. 1, 69--98 (2013; Zbl 1317.35283) Full Text: DOI arXiv
Kim, Panki; Park, Hyunchul; Song, Renming Sharp estimates on the Green functions of perturbations of subordinate Brownian motions in bounded \(\kappa\)-fat open sets. (English) Zbl 1266.60137 Potential Anal. 38, No. 1, 319-344 (2013). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J45 60J25 PDFBibTeX XMLCite \textit{P. Kim} et al., Potential Anal. 38, No. 1, 319--344 (2013; Zbl 1266.60137) Full Text: DOI
Bogdan, Krzysztof; Jakubowski, Tomasz Estimates of the Green function for the fractional Laplacian perturbed by gradient. (English) Zbl 1238.35018 Potential Anal. 36, No. 3, 455-481 (2012). Reviewer: Heinrich Hering (Rockenberg) MSC: 35J08 35B20 47A55 60J35 60J50 60J75 47G20 47D07 PDFBibTeX XMLCite \textit{K. Bogdan} and \textit{T. Jakubowski}, Potential Anal. 36, No. 3, 455--481 (2012; Zbl 1238.35018) Full Text: DOI arXiv
Zorii, Natalia Interior capacities of condensers in locally compact spaces. (English) Zbl 1243.31005 Potential Anal. 35, No. 2, 103-143 (2011). Reviewer: Boris Rubin (Baton Rouge) MSC: 31C15 31B15 PDFBibTeX XMLCite \textit{N. Zorii}, Potential Anal. 35, No. 2, 103--143 (2011; Zbl 1243.31005) Full Text: DOI arXiv
Kaleta, Kamil; Kulczycki, Tadeusz Intrinsic ultracontractivity for Schrödinger operators based on fractional Laplacians. (English) Zbl 1198.47060 Potential Anal. 33, No. 4, 313-339 (2010). MSC: 47D08 60G52 60J45 PDFBibTeX XMLCite \textit{K. Kaleta} and \textit{T. Kulczycki}, Potential Anal. 33, No. 4, 313--339 (2010; Zbl 1198.47060) Full Text: DOI arXiv
Byczkowski, Tomasz; Małecki, Jacek; Ryznar, Michał Hitting half-spaces by Bessel-Brownian diffusions. (English) Zbl 1235.60106 Potential Anal. 33, No. 1, 47-83 (2010). MSC: 60J60 60J45 PDFBibTeX XMLCite \textit{T. Byczkowski} et al., Potential Anal. 33, No. 1, 47--83 (2010; Zbl 1235.60106) Full Text: DOI arXiv
Yano, Kouji Excursions away from a regular point for one-dimensional symmetric Lévy processes without Gaussian part. (English) Zbl 1188.60023 Potential Anal. 32, No. 4, 305-341 (2010). MSC: 60G51 60J50 60G17 PDFBibTeX XMLCite \textit{K. Yano}, Potential Anal. 32, No. 4, 305--341 (2010; Zbl 1188.60023) Full Text: DOI arXiv
Mimica, Ante Harnack inequalities for some Lévy processes. (English) Zbl 1202.60126 Potential Anal. 32, No. 3, 275-303 (2010). Reviewer: Thomas Simon (Évry) MSC: 60J45 60G50 60G51 PDFBibTeX XMLCite \textit{A. Mimica}, Potential Anal. 32, No. 3, 275--303 (2010; Zbl 1202.60126) Full Text: DOI
Fitzsimmons, P. J.; Getoor, R. K. Potential theory of moderate Markov dual processes. (English) Zbl 1185.60088 Potential Anal. 31, No. 3, 275-310 (2009). Reviewer: Liliana Popa (Iaşi) MSC: 60J40 60J45 PDFBibTeX XMLCite \textit{P. J. Fitzsimmons} and \textit{R. K. Getoor}, Potential Anal. 31, No. 3, 275--310 (2009; Zbl 1185.60088) Full Text: DOI
Beznea, Lucian; Boboc, Nicu Feynman-Kac formula for left continuous additive functionals and extended Kato class measures. (English) Zbl 1160.60023 Potential Anal. 30, No. 2, 139-164 (2009). MSC: 60J45 47D08 60J40 60J35 47D07 PDFBibTeX XMLCite \textit{L. Beznea} and \textit{N. Boboc}, Potential Anal. 30, No. 2, 139--164 (2009; Zbl 1160.60023) Full Text: DOI
Hirata, Kentaro Global estimates for non-symmetric Green type functions with applications to the \(p\)-Laplace equation. (English) Zbl 1165.31005 Potential Anal. 29, No. 3, 221-239 (2008). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 31C45 35J60 PDFBibTeX XMLCite \textit{K. Hirata}, Potential Anal. 29, No. 3, 221--239 (2008; Zbl 1165.31005) Full Text: DOI
Grzywny, Tomasz; Ryznar, Michał Two-sided optimal bounds for Green functions of half-spaces for relativistic \(\alpha\)-stable process. (English) Zbl 1146.60059 Potential Anal. 28, No. 3, 201-239 (2008). Reviewer: Zoran Vondraček (Zagreb) MSC: 60J45 PDFBibTeX XMLCite \textit{T. Grzywny} and \textit{M. Ryznar}, Potential Anal. 28, No. 3, 201--239 (2008; Zbl 1146.60059) Full Text: DOI arXiv
Tsuchida, Kaneharu Differentiability of spectral functions for relativistic \(\alpha\)-stable processes with application to large deviations. (English) Zbl 1137.60042 Potential Anal. 28, No. 1, 17-33 (2008). Reviewer: Liliana Popa (Iaşi) MSC: 60J45 60J55 35J10 PDFBibTeX XMLCite \textit{K. Tsuchida}, Potential Anal. 28, No. 1, 17--33 (2008; Zbl 1137.60042) Full Text: DOI
Byczkowski, T.; Małecki, J. Poisson kernel and Green function of the ball in real hyperbolic spaces. (English) Zbl 1143.60051 Potential Anal. 27, No. 1, 1-26 (2007). Reviewer: Uta Freiberg (Canberra) MSC: 60J65 58J65 60J45 60J60 PDFBibTeX XMLCite \textit{T. Byczkowski} and \textit{J. Małecki}, Potential Anal. 27, No. 1, 1--26 (2007; Zbl 1143.60051) Full Text: DOI arXiv
Takeda, M. Branching Brownian motions on Riemannian manifolds: expectation of the number of branches hitting closed sets. (English) Zbl 1158.60038 Potential Anal. 27, No. 1, 61-72 (2007). Reviewer: Shizan Fang (Dijon) MSC: 60J80 60J60 31C25 PDFBibTeX XMLCite \textit{M. Takeda}, Potential Anal. 27, No. 1, 61--72 (2007; Zbl 1158.60038) Full Text: DOI
Méndez-Hernández, Pedro J.; Wong, Kittipat Intrinsic ultracontractivity for Schrödinger operators with mixed boundary conditions. (English) Zbl 1105.60060 Potential Anal. 24, No. 4, 333-355 (2006). Reviewer: Yoichi Oshima (Kumamoto) MSC: 60J45 60J60 26D10 PDFBibTeX XMLCite \textit{P. J. Méndez-Hernández} and \textit{K. Wong}, Potential Anal. 24, No. 4, 333--355 (2006; Zbl 1105.60060) Full Text: DOI
Kasue, Atsushi Convergence of Riemannian manifolds and Laplace operators. II. (English) Zbl 1099.53033 Potential Anal. 24, No. 2, 137-194 (2006). Reviewer: Chiung-Jue Sung (Minhsiung) MSC: 53C21 58D17 58J50 PDFBibTeX XMLCite \textit{A. Kasue}, Potential Anal. 24, No. 2, 137--194 (2006; Zbl 1099.53033) Full Text: DOI
Bogdan, Krzysztof; Sztonyk, Paweł Harnack’s inequality for stable Lévy processes. (English) Zbl 1081.60055 Potential Anal. 22, No. 2, 133-150 (2005). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60J45 31C05 60G51 PDFBibTeX XMLCite \textit{K. Bogdan} and \textit{P. Sztonyk}, Potential Anal. 22, No. 2, 133--150 (2005; Zbl 1081.60055) Full Text: DOI
Getoor, R. K. Measures not charging semipolars and equations of Schrödinger type. (English) Zbl 0816.60077 Potential Anal. 4, No. 1, 79-100 (1995). Reviewer: P.J.Fitzsimmons (La Jolla) MSC: 60J40 60J45 60J57 PDFBibTeX XMLCite \textit{R. K. Getoor}, Potential Anal. 4, No. 1, 79--100 (1995; Zbl 0816.60077) Full Text: DOI
Chung, Kai Lai Greenian bounds for Markov processes. (English) Zbl 1081.60543 Potential Anal. 1, No. 1, 83-92 (1992). MSC: 60J45 35J10 60J35 PDFBibTeX XMLCite \textit{K. L. Chung}, Potential Anal. 1, No. 1, 83--92 (1992; Zbl 1081.60543) Full Text: DOI