Majee, Ananta K. Stochastic doubly nonlinear PDE: large deviation principles and existence of invariant measure. (English) Zbl 07815301 Potential Anal. 60, No. 3, 1139-1179 (2024). MSC: 60H25 60F10 PDFBibTeX XMLCite \textit{A. K. Majee}, Potential Anal. 60, No. 3, 1139--1179 (2024; Zbl 07815301) Full Text: DOI arXiv
Hu, Yaozhong; Kouritzin, Michael A.; Zheng, Jiayu Nonlinear McKean-Vlasov diffusions under the weak Hörmander condition with quantile-dependent coefficients. (English) Zbl 07815299 Potential Anal. 60, No. 3, 1093-1119 (2024). MSC: 60H10 60H30 60H07 PDFBibTeX XMLCite \textit{Y. Hu} et al., Potential Anal. 60, No. 3, 1093--1119 (2024; Zbl 07815299) Full Text: DOI arXiv
Baños, David; Bauer, Martin; Meyer-Brandis, Thilo; Proske, Frank Restoration of well-posedness of infinite-dimensional singular ODE’s via noise. (English) Zbl 07807787 Potential Anal. 60, No. 2, 759-805 (2024). MSC: 60H10 60H15 60H50 35R15 35R60 34F05 PDFBibTeX XMLCite \textit{D. Baños} et al., Potential Anal. 60, No. 2, 759--805 (2024; Zbl 07807787) Full Text: DOI arXiv OA License
Bisterzo, Andrea; Marini, Ludovico The \(L^{\infty }\)-positivity preserving property and stochastic completeness. (English) Zbl 07785434 Potential Anal. 59, No. 4, 2017-2034 (2023). MSC: 31C12 53C21 58J05 58J65 35J10 PDFBibTeX XMLCite \textit{A. Bisterzo} and \textit{L. Marini}, Potential Anal. 59, No. 4, 2017--2034 (2023; Zbl 07785434) Full Text: DOI arXiv
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
Chertovskih, Roman; Shamarova, Evelina Gaussian-type density bounds for solutions to multidimensional backward SDEs and application to gene expression. (English) Zbl 07749917 Potential Anal. 59, No. 3, 1457-1479 (2023). MSC: 60H10 60H07 92D99 PDFBibTeX XMLCite \textit{R. Chertovskih} and \textit{E. Shamarova}, Potential Anal. 59, No. 3, 1457--1479 (2023; Zbl 07749917) Full Text: DOI arXiv
Polymerakis, Panagiotis On the strong Liouville property of covering spaces. (English) Zbl 07749916 Potential Anal. 59, No. 3, 1449-1455 (2023). MSC: 53C43 53C23 58J65 60G50 31C12 PDFBibTeX XMLCite \textit{P. Polymerakis}, Potential Anal. 59, No. 3, 1449--1455 (2023; Zbl 07749916) Full Text: DOI OA License
dos Reis, Gonçalo; Platonov, Vadim Itô-Wentzell-Lions formula for measure dependent random fields under full and conditional measure flows. (English) Zbl 07749911 Potential Anal. 59, No. 3, 1313-1344 (2023). MSC: 60H05 60H10 60H15 PDFBibTeX XMLCite \textit{G. dos Reis} and \textit{V. Platonov}, Potential Anal. 59, No. 3, 1313--1344 (2023; Zbl 07749911) Full Text: DOI arXiv OA License
Liu, Wei; Song, Yulin; Zhai, Jianliang; Zhang, Tusheng Large and moderate deviation principles for McKean-Vlasov SDEs with jumps. (English) Zbl 1523.60056 Potential Anal. 59, No. 3, 1141-1190 (2023). MSC: 60F10 60H10 60H15 37L55 PDFBibTeX XMLCite \textit{W. Liu} et al., Potential Anal. 59, No. 3, 1141--1190 (2023; Zbl 1523.60056) Full Text: DOI arXiv
Ren, Jiagang; Zhang, Hua Hypoellipticity and parabolic hypoellipticity of nonlocal operators under Hörmander’s condition. (English) Zbl 07749902 Potential Anal. 59, No. 3, 1051-1078 (2023). MSC: 60H07 60H10 PDFBibTeX XMLCite \textit{J. Ren} and \textit{H. Zhang}, Potential Anal. 59, No. 3, 1051--1078 (2023; Zbl 07749902) Full Text: DOI
Krylov, N. V. On diffusion processes with drift in \(L_{d+1}\). (English) Zbl 07749900 Potential Anal. 59, No. 3, 1013-1037 (2023). MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{N. V. Krylov}, Potential Anal. 59, No. 3, 1013--1037 (2023; Zbl 07749900) Full Text: DOI arXiv
Chen, Chuchu; Hong, Jialin; Jin, Diancong; Sun, Liying Large deviations principles for symplectic discretizations of stochastic linear Schrödinger equation. (English) Zbl 1523.60054 Potential Anal. 59, No. 3, 971-1011 (2023). MSC: 60F10 60H35 65C30 65P10 PDFBibTeX XMLCite \textit{C. Chen} et al., Potential Anal. 59, No. 3, 971--1011 (2023; Zbl 1523.60054) Full Text: DOI arXiv
Wang, Feng-Yu; Wu, Bingyao Wasserstein convergence for empirical measures of subordinated diffusions on Riemannian manifolds. (English) Zbl 1523.58036 Potential Anal. 59, No. 3, 933-954 (2023). MSC: 58J65 PDFBibTeX XMLCite \textit{F.-Y. Wang} and \textit{B. Wu}, Potential Anal. 59, No. 3, 933--954 (2023; Zbl 1523.58036) Full Text: DOI arXiv
Perkowski, Nicolas; van Zuijlen, Willem Quantitative heat-kernel estimates for diffusions with distributional drift. (English) Zbl 1517.60066 Potential Anal. 59, No. 2, 731-752 (2023). MSC: 60H10 60J60 35A08 PDFBibTeX XMLCite \textit{N. Perkowski} and \textit{W. van Zuijlen}, Potential Anal. 59, No. 2, 731--752 (2023; Zbl 1517.60066) Full Text: DOI arXiv
Kuzgun, Sefika; Nualart, David Feynman-Kac formula for iterated derivatives of the parabolic Anderson model. (English) Zbl 07727166 Potential Anal. 59, No. 2, 651-673 (2023). MSC: 60H07 60H15 PDFBibTeX XMLCite \textit{S. Kuzgun} and \textit{D. Nualart}, Potential Anal. 59, No. 2, 651--673 (2023; Zbl 07727166) Full Text: DOI arXiv
Xue, Xiaofeng Hydrodynamics of the generalized \(N\)-urn Ehrenfest model. (English) Zbl 07727165 Potential Anal. 59, No. 2, 613-649 (2023). MSC: 76Exx 60G50 60F10 60H10 60J45 PDFBibTeX XMLCite \textit{X. Xue}, Potential Anal. 59, No. 2, 613--649 (2023; Zbl 07727165) Full Text: DOI arXiv
Baňas, Ľubomír; Yang, Huanyu; Zhu, Rongchan Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. (English) Zbl 1521.35214 Potential Anal. 59, No. 2, 497-518 (2023). MSC: 35R60 35B25 35K20 35K58 60H15 60H30 PDFBibTeX XMLCite \textit{Ľ. Baňas} et al., Potential Anal. 59, No. 2, 497--518 (2023; Zbl 1521.35214) Full Text: DOI arXiv
Zhang, Rangrang On the small time asymptotics of quasilinear parabolic stochastic partial differential equations. (English) Zbl 1525.60040 Potential Anal. 59, No. 2, 467-495 (2023). Reviewer: Dejun Luo (Beijing) MSC: 60F10 60H15 60G40 PDFBibTeX XMLCite \textit{R. Zhang}, Potential Anal. 59, No. 2, 467--495 (2023; Zbl 1525.60040) Full Text: DOI arXiv
Krylov, N. V. On potentials of Itô’s processes with drift in \(L_{d+1}\). (English) Zbl 07692091 Potential Anal. 59, No. 1, 283-309 (2023). MSC: 60H10 60J60 PDFBibTeX XMLCite \textit{N. V. Krylov}, Potential Anal. 59, No. 1, 283--309 (2023; Zbl 07692091) Full Text: DOI arXiv
Deugoué, G.; Ngana, A. Ndongmo; Tachim Medjo, T. Some convergences results on the stochastic Cahn-Hilliard-Navier-Stokes equations with multiplicative noise. (English) Zbl 1516.35574 Potential Anal. 59, No. 1, 263-282 (2023). MSC: 35R60 35Q35 60H15 76M35 86A05 PDFBibTeX XMLCite \textit{G. Deugoué} et al., Potential Anal. 59, No. 1, 263--282 (2023; Zbl 1516.35574) Full Text: DOI
Clerc, Gauthier; Conforti, Giovanni; Gentil, Ivan Long-time behaviour of entropic interpolations. (English) Zbl 1521.49032 Potential Anal. 59, No. 1, 65-95 (2023). Reviewer: Siran Li (Shanghai) MSC: 49Q20 28A33 60H10 60J60 PDFBibTeX XMLCite \textit{G. Clerc} et al., Potential Anal. 59, No. 1, 65--95 (2023; Zbl 1521.49032) Full Text: DOI arXiv
Bhar, Suprio; Bhaskaran, Rajeev; Sarkar, Barun Erratum to: “Solutions of SPDE’s associated with a stochastic flow”. (English) Zbl 1508.60063 Potential Anal. 58, No. 4, 785-786 (2023). MSC: 60H15 PDFBibTeX XMLCite \textit{S. Bhar} et al., Potential Anal. 58, No. 4, 785--786 (2023; Zbl 1508.60063) Full Text: DOI
Lanconelli, Alberto; Scorolli, Ramiro A small time approximation for the solution to the Zakai equation. (English) Zbl 1515.60236 Potential Anal. 58, No. 3, 561-571 (2023). MSC: 60H15 60G35 60H07 PDFBibTeX XMLCite \textit{A. Lanconelli} and \textit{R. Scorolli}, Potential Anal. 58, No. 3, 561--571 (2023; Zbl 1515.60236) Full Text: DOI arXiv
Zhu, Rongchan; Zhu, Xiangchan Weak universality of the dynamical \({{\Phi }_3^4}\) model on the whole space. (English) Zbl 1509.35397 Potential Anal. 58, No. 2, 295-330 (2023). MSC: 35R60 35Q40 81T17 60H15 82C28 PDFBibTeX XMLCite \textit{R. Zhu} and \textit{X. Zhu}, Potential Anal. 58, No. 2, 295--330 (2023; Zbl 1509.35397) Full Text: DOI arXiv
Salins, Michael; Setayeshgar, Leila Uniform large deviations for a class of Burgers-type stochastic partial differential equations in any space dimension. (English) Zbl 1506.60042 Potential Anal. 58, No. 1, 181-201 (2023). MSC: 60F10 60H15 60H10 37L55 PDFBibTeX XMLCite \textit{M. Salins} and \textit{L. Setayeshgar}, Potential Anal. 58, No. 1, 181--201 (2023; Zbl 1506.60042) Full Text: DOI
Bignamini, D. A.; Ferrari, S. Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces. (English) Zbl 1507.35351 Potential Anal. 58, No. 1, 1-35 (2023). MSC: 35R60 47D06 60G15 60H15 PDFBibTeX XMLCite \textit{D. A. Bignamini} and \textit{S. Ferrari}, Potential Anal. 58, No. 1, 1--35 (2023; Zbl 1507.35351) Full Text: DOI arXiv
Neelima On well-posedness of stochastic anisotropic \(p\)-Laplace equation driven by Lévy noise. (English) Zbl 1502.60104 Potential Anal. 57, No. 4, 671-707 (2022). MSC: 60H15 65M60 47J35 35R60 PDFBibTeX XMLCite \textit{Neelima}, Potential Anal. 57, No. 4, 671--707 (2022; Zbl 1502.60104) Full Text: DOI arXiv
Flandoli, Franco; Luo, Dejun; Ricci, Cristiano On the relation between the Girsanov transform and the Kolmogorov equations for SPDEs. (English) Zbl 1506.60064 Potential Anal. 57, No. 4, 473-500 (2022). Reviewer: Martin Ondreját (Praha) MSC: 60H25 60H15 47J26 35A02 PDFBibTeX XMLCite \textit{F. Flandoli} et al., Potential Anal. 57, No. 4, 473--500 (2022; Zbl 1506.60064) Full Text: DOI arXiv
Marinelli, Carlo; Quer-Sardanyons, Lluís Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise. (English) Zbl 1489.60098 Potential Anal. 57, No. 2, 243-261 (2022). MSC: 60H07 60H15 PDFBibTeX XMLCite \textit{C. Marinelli} and \textit{L. Quer-Sardanyons}, Potential Anal. 57, No. 2, 243--261 (2022; Zbl 1489.60098) Full Text: DOI arXiv
Ling, Chengcheng; Xie, Longjie Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces. (English) Zbl 1500.60032 Potential Anal. 57, No. 2, 227-241 (2022). Reviewer: Longjie Xie (Xuzhou) MSC: 60H10 PDFBibTeX XMLCite \textit{C. Ling} and \textit{L. Xie}, Potential Anal. 57, No. 2, 227--241 (2022; Zbl 1500.60032) Full Text: DOI arXiv
Liu, Kai Hölder continuous regularity of stochastic convolutions with distributed delay. (English) Zbl 1489.60115 Potential Anal. 57, No. 1, 29-53 (2022). MSC: 60H15 60G15 60H05 PDFBibTeX XMLCite \textit{K. Liu}, Potential Anal. 57, No. 1, 29--53 (2022; Zbl 1489.60115) Full Text: DOI
Wong, Chi Hong; Yang, Xue; Zhang, Jing Neumann boundary problems for parabolic partial differential equations with divergence terms. (English) Zbl 1493.60103 Potential Anal. 56, No. 4, 723-744 (2022). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 60H15 35R60 31B15 35K58 PDFBibTeX XMLCite \textit{C. H. Wong} et al., Potential Anal. 56, No. 4, 723--744 (2022; Zbl 1493.60103) Full Text: DOI
Chen, Hong-Bin; Niles-Weed, Jonathan Asymptotics of smoothed Wasserstein distances. (English) Zbl 1485.58026 Potential Anal. 56, No. 4, 571-595 (2022). MSC: 58J65 60J60 PDFBibTeX XMLCite \textit{H.-B. Chen} and \textit{J. Niles-Weed}, Potential Anal. 56, No. 4, 571--595 (2022; Zbl 1485.58026) Full Text: DOI arXiv
Barret, Florent; Raimond, Olivier An averaging principle for stochastic flows and convergence of non-symmetric Dirichlet forms. (English) Zbl 1496.60094 Potential Anal. 56, No. 3, 483-548 (2022). Reviewer: Liping Li (Beijing) MSC: 60J46 60J60 58J65 PDFBibTeX XMLCite \textit{F. Barret} and \textit{O. Raimond}, Potential Anal. 56, No. 3, 483--548 (2022; Zbl 1496.60094) Full Text: DOI arXiv HAL
Kim, Kyeong-Hun; Lee, Kijung; Seo, Jinsol A refined Green’s function estimate of the time measurable parabolic operators with conic domains. (English) Zbl 1483.35103 Potential Anal. 56, No. 2, 317-331 (2022). MSC: 35K08 35K20 60H15 PDFBibTeX XMLCite \textit{K.-H. Kim} et al., Potential Anal. 56, No. 2, 317--331 (2022; Zbl 1483.35103) Full Text: DOI arXiv
Deng, Chang-Song; Huang, Xing Harnack inequalities for functional SDEs driven by subordinate Brownian motions. (English) Zbl 1490.60151 Potential Anal. 56, No. 2, 213-226 (2022). MSC: 60H10 60H15 34K26 39B72 PDFBibTeX XMLCite \textit{C.-S. Deng} and \textit{X. Huang}, Potential Anal. 56, No. 2, 213--226 (2022; Zbl 1490.60151) Full Text: DOI arXiv
Breton, Jean-Christophe; Privault, Nicolas Wasserstein distance estimates for stochastic integrals by forward-backward stochastic calculus. (English) Zbl 07464232 Potential Anal. 56, No. 1, 1-20 (2022). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H05 60H10 60G57 60G44 60J60 60J74 PDFBibTeX XMLCite \textit{J.-C. Breton} and \textit{N. Privault}, Potential Anal. 56, No. 1, 1--20 (2022; Zbl 07464232) Full Text: DOI
Kawamoto, Yosuke; Osada, Hirofumi; Tanemura, Hideki Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions. (English) Zbl 1480.60227 Potential Anal. 55, No. 4, 639-676 (2021). MSC: 60J45 60K35 82B21 60B20 60J65 60H10 PDFBibTeX XMLCite \textit{Y. Kawamoto} et al., Potential Anal. 55, No. 4, 639--676 (2021; Zbl 1480.60227) Full Text: DOI arXiv
Hong, Wei; Li, Shihu; Liu, Wei Asymptotic log-Harnack inequality and ergodicity for 3D Leray-\(\alpha\) model with degenerate type noise. (English) Zbl 1475.60119 Potential Anal. 55, No. 3, 477-490 (2021). MSC: 60H15 35Q30 PDFBibTeX XMLCite \textit{W. Hong} et al., Potential Anal. 55, No. 3, 477--490 (2021; Zbl 1475.60119) Full Text: DOI
Li, Zhen; Liu, Jicheng Synchronization and averaging principle of stationary solutions for stochastic differential equations. (English) Zbl 1470.60158 Potential Anal. 55, No. 2, 339-368 (2021). MSC: 60H10 34F05 PDFBibTeX XMLCite \textit{Z. Li} and \textit{J. Liu}, Potential Anal. 55, No. 2, 339--368 (2021; Zbl 1470.60158) Full Text: DOI
Zhu, Jie-Xiang Some results on the optimal matching problem for the Jacobi model. (English) Zbl 1478.60047 Potential Anal. 55, No. 1, 167-188 (2021). MSC: 60D05 60F25 60H15 49J55 58J35 PDFBibTeX XMLCite \textit{J.-X. Zhu}, Potential Anal. 55, No. 1, 167--188 (2021; Zbl 1478.60047) Full Text: DOI arXiv
Kulczycki, Tadeusz; Ryznar, Michał; Sztonyk, Paweł Strong Feller property for SDEs driven by multiplicative cylindrical stable noise. (English) Zbl 1484.60062 Potential Anal. 55, No. 1, 75-126 (2021). MSC: 60H10 60G52 PDFBibTeX XMLCite \textit{T. Kulczycki} et al., Potential Anal. 55, No. 1, 75--126 (2021; Zbl 1484.60062) Full Text: DOI arXiv
Li, Jiawei; Qian, Zhongmin Large deviation principle for fractional Brownian motion with respect to capacity. (English) Zbl 1457.60048 Potential Anal. 54, No. 4, 655-685 (2021). MSC: 60F10 60G22 60H07 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Qian}, Potential Anal. 54, No. 4, 655--685 (2021; Zbl 1457.60048) Full Text: DOI arXiv
Fan, Xiliang; Wu, Jiang-Lun Density estimates for the solutions of backward stochastic differential equations driven by Gaussian processes. (English) Zbl 1470.60151 Potential Anal. 54, No. 3, 483-501 (2021). MSC: 60H10 60G22 60H05 60G15 PDFBibTeX XMLCite \textit{X. Fan} and \textit{J.-L. Wu}, Potential Anal. 54, No. 3, 483--501 (2021; Zbl 1470.60151) Full Text: DOI arXiv
Hocquet, Antoine; Nilssen, Torstein An Itô formula for rough partial differential equations and some applications. (English) Zbl 1477.60148 Potential Anal. 54, No. 2, 331-386 (2021). Reviewer: David Prömel (Mannheim) MSC: 60L50 60H15 35D30 PDFBibTeX XMLCite \textit{A. Hocquet} and \textit{T. Nilssen}, Potential Anal. 54, No. 2, 331--386 (2021; Zbl 1477.60148) Full Text: DOI arXiv
Wang, Feng-Yu Exponential contraction in Wasserstein distances for diffusion semigroups with negative curvature. (English) Zbl 1454.60129 Potential Anal. 53, No. 3, 1123-1144 (2020). MSC: 60J76 47D07 58J65 PDFBibTeX XMLCite \textit{F.-Y. Wang}, Potential Anal. 53, No. 3, 1123--1144 (2020; Zbl 1454.60129) Full Text: DOI arXiv
Brzeźniak, Zdzisław; Manna, Utpal; Panda, Akash Ashirbad Large deviations for stochastic nematic liquid crystals driven by multiplicative Gaussian noise. (English) Zbl 1454.60039 Potential Anal. 53, No. 3, 799-838 (2020). MSC: 60F10 60H15 76A15 76B03 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Potential Anal. 53, No. 3, 799--838 (2020; Zbl 1454.60039) Full Text: DOI Link
Sun, Xiaobin; Xie, Longjie; Xie, Yingchao Pathwise uniqueness for a class of SPDEs driven by cylindrical \(\alpha \)-stable processes. (English) Zbl 1510.60057 Potential Anal. 53, No. 2, 659-675 (2020). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 35R60 60G52 PDFBibTeX XMLCite \textit{X. Sun} et al., Potential Anal. 53, No. 2, 659--675 (2020; Zbl 1510.60057) Full Text: DOI arXiv
Barrasso, Adrien; Russo, Francesco Decoupled mild solutions of path-dependent PDEs and integro PDEs represented by BSDEs driven by cadlag martingales. (English) Zbl 1453.60114 Potential Anal. 53, No. 2, 449-481 (2020). MSC: 60H15 60G44 60H10 PDFBibTeX XMLCite \textit{A. Barrasso} and \textit{F. Russo}, Potential Anal. 53, No. 2, 449--481 (2020; Zbl 1453.60114) Full Text: DOI arXiv
Asogwa, Sunday A.; Mijena, Jebessa B.; Nane, Erkan Blow-up results for space-time fractional stochastic partial differential equations. (English) Zbl 1453.60113 Potential Anal. 53, No. 2, 357-386 (2020). MSC: 60H15 35B44 35R11 35R60 35K57 PDFBibTeX XMLCite \textit{S. A. Asogwa} et al., Potential Anal. 53, No. 2, 357--386 (2020; Zbl 1453.60113) Full Text: DOI arXiv
Medjo, Theodore Tachim On the weak solutions to a stochastic 2D simplified Ericksen-Leslie model. (English) Zbl 1451.60072 Potential Anal. 53, No. 1, 267-296 (2020). MSC: 60H15 35D30 35R60 76A15 PDFBibTeX XMLCite \textit{T. T. Medjo}, Potential Anal. 53, No. 1, 267--296 (2020; Zbl 1451.60072) Full Text: DOI
Nguyen, Dang Hai; Yin, George Stability of stochastic functional differential equations with regime-switching: analysis using Dupire’s functional Itô formula. (English) Zbl 1448.60127 Potential Anal. 53, No. 1, 247-265 (2020). MSC: 60H10 60H30 PDFBibTeX XMLCite \textit{D. H. Nguyen} and \textit{G. Yin}, Potential Anal. 53, No. 1, 247--265 (2020; Zbl 1448.60127) Full Text: DOI
Le Jan, Yves Brownian loops topology. (English) Zbl 1443.60082 Potential Anal. 53, No. 1, 223-229 (2020). MSC: 60K99 58J65 60J27 60G60 PDFBibTeX XMLCite \textit{Y. Le Jan}, Potential Anal. 53, No. 1, 223--229 (2020; Zbl 1443.60082) Full Text: DOI
Bhar, Suprio; Rajeev, Bhaskaran; Sarkar, Barun Solutions of SPDE’s associated with a stochastic flow. (English) Zbl 1451.60062 Potential Anal. 53, No. 1, 203-221 (2020); erratum ibid. 58, No. 4, 785-786 (2023). MSC: 60H15 PDFBibTeX XMLCite \textit{S. Bhar} et al., Potential Anal. 53, No. 1, 203--221 (2020; Zbl 1451.60062) Full Text: DOI arXiv
Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng Large deviations for quasilinear parabolic stochastic partial differential equations. (English) Zbl 1451.60064 Potential Anal. 53, No. 1, 183-202 (2020). MSC: 60H15 35K59 35R60 60F10 PDFBibTeX XMLCite \textit{Z. Dong} et al., Potential Anal. 53, No. 1, 183--202 (2020; Zbl 1451.60064) Full Text: DOI arXiv
Dong, Zhao; Wang, Feng-Yu; Xu, Lihu Irreducibility and asymptotics of stochastic Burgers equation driven by \(\alpha \)-stable processes. (English) Zbl 1471.60036 Potential Anal. 52, No. 3, 371-392 (2020). MSC: 60F10 60H15 60J74 PDFBibTeX XMLCite \textit{Z. Dong} et al., Potential Anal. 52, No. 3, 371--392 (2020; Zbl 1471.60036) Full Text: DOI Link
Kaleta, Kamil; Pietruska-Pałuba, Katarzyna The quenched asymptotics for nonlocal Schrödinger operators with Poissonian potentials. (English) Zbl 1435.60036 Potential Anal. 52, No. 2, 161-202 (2020). MSC: 60G51 60H25 60K37 47D08 60G60 47G30 PDFBibTeX XMLCite \textit{K. Kaleta} and \textit{K. Pietruska-Pałuba}, Potential Anal. 52, No. 2, 161--202 (2020; Zbl 1435.60036) Full Text: DOI arXiv
Baudoin, Fabrice; Demni, Nizar; Wang, Jing The horizontal heat kernel on the quaternionic anti-de Sitter spaces and related twistor spaces. (English) Zbl 1462.53045 Potential Anal. 52, No. 2, 281-300 (2020). Reviewer: Bo Liu (Bures-sur-Yvette) MSC: 53C26 53C28 58J65 60J60 PDFBibTeX XMLCite \textit{F. Baudoin} et al., Potential Anal. 52, No. 2, 281--300 (2020; Zbl 1462.53045) Full Text: DOI arXiv
Marinelli, Carlo; Scarpa, Luca Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach. (English) Zbl 1447.60115 Potential Anal. 52, No. 1, 69-103 (2020). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H15 47D07 47H06 37A25 35B40 PDFBibTeX XMLCite \textit{C. Marinelli} and \textit{L. Scarpa}, Potential Anal. 52, No. 1, 69--103 (2020; Zbl 1447.60115) Full Text: DOI arXiv
Ren, Jie; Xu, Jie Support theorem for stochastic differential equations with Sobolev coefficients. (English) Zbl 1451.60061 Potential Anal. 51, No. 3, 333-360 (2019). Reviewer: Longjie Xie (Xuzhou) MSC: 60H10 46E35 PDFBibTeX XMLCite \textit{J. Ren} and \textit{J. Xu}, Potential Anal. 51, No. 3, 333--360 (2019; Zbl 1451.60061) Full Text: DOI
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
Feng, Shui; Sun, Wei A dynamic model for the two-parameter Dirichlet process. (English) Zbl 1418.60045 Potential Anal. 51, No. 2, 147-164 (2019). MSC: 60G57 60H30 PDFBibTeX XMLCite \textit{S. Feng} and \textit{W. Sun}, Potential Anal. 51, No. 2, 147--164 (2019; Zbl 1418.60045) Full Text: DOI arXiv
Ren, Jiagang; Shi, Qun; Wu, Jing Limit theorems for stochastic variational inequalities with non-Lipschitz coefficients. (English) Zbl 1478.60180 Potential Anal. 51, No. 1, 101-125 (2019). MSC: 60H10 60E15 60F15 PDFBibTeX XMLCite \textit{J. Ren} et al., Potential Anal. 51, No. 1, 101--125 (2019; Zbl 1478.60180) Full Text: DOI
Olivera, Christian Regularization by noise in one-dimensional continuity equation. (English) Zbl 1447.60119 Potential Anal. 51, No. 1, 23-35 (2019). MSC: 60H15 35R60 35F10 60H30 PDFBibTeX XMLCite \textit{C. Olivera}, Potential Anal. 51, No. 1, 23--35 (2019; Zbl 1447.60119) Full Text: DOI arXiv
Boedihardjo, H.; Geng, X.; Liu, X.; Qian, Z. A quasi-sure non-degeneracy property for the Brownian rough path. (English) Zbl 1465.60045 Potential Anal. 51, No. 1, 1-21 (2019). Reviewer: Nicolas Privault (Singapore) MSC: 60H07 60L20 60G17 60J45 PDFBibTeX XMLCite \textit{H. Boedihardjo} et al., Potential Anal. 51, No. 1, 1--21 (2019; Zbl 1465.60045) Full Text: DOI arXiv
Kalinichenko, A. A. An approach to stochastic integration in general separable Banach spaces. (English) Zbl 1411.60083 Potential Anal. 50, No. 4, 591-608 (2019). MSC: 60H05 60G15 60H10 PDFBibTeX XMLCite \textit{A. A. Kalinichenko}, Potential Anal. 50, No. 4, 591--608 (2019; Zbl 1411.60083) Full Text: DOI
Monmarché, Pierre Generalized \(\Gamma\) calculus and application to interacting particles on a graph. (English) Zbl 1411.58013 Potential Anal. 50, No. 3, 439-466 (2019). MSC: 58J65 58J35 60J60 PDFBibTeX XMLCite \textit{P. Monmarché}, Potential Anal. 50, No. 3, 439--466 (2019; Zbl 1411.58013) Full Text: DOI arXiv
Andersson, Adam; Hefter, Mario; Jentzen, Arnulf; Kurniawan, Ryan Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces. (English) Zbl 1431.60051 Potential Anal. 50, No. 3, 347-379 (2019). MSC: 60H15 35B65 35R15 35R60 PDFBibTeX XMLCite \textit{A. Andersson} et al., Potential Anal. 50, No. 3, 347--379 (2019; Zbl 1431.60051) Full Text: DOI arXiv
Hornung, Luca Quasilinear parabolic stochastic evolution equations via maximal \(L^p\)-regularity. (English) Zbl 1433.60055 Potential Anal. 50, No. 2, 279-326 (2019). Reviewer: Feng-Yu Wang (Swansea) MSC: 60H15 60H30 35K59 65J08 58D25 76A05 35Q35 35K57 PDFBibTeX XMLCite \textit{L. Hornung}, Potential Anal. 50, No. 2, 279--326 (2019; Zbl 1433.60055) Full Text: DOI arXiv
Lebovits, Joachim Stochastic calculus with respect to Gaussian processes. (English) Zbl 1442.60043 Potential Anal. 50, No. 1, 1-42 (2019). MSC: 60G15 60H40 60H05 60G22 PDFBibTeX XMLCite \textit{J. Lebovits}, Potential Anal. 50, No. 1, 1--42 (2019; Zbl 1442.60043) Full Text: DOI arXiv
Thompson, James Brownian bridges to submanifolds. (English) Zbl 1406.58021 Potential Anal. 49, No. 4, 555-581 (2018). Reviewer: René L. Schilling (Dresden) MSC: 58J65 53B21 60J55 PDFBibTeX XMLCite \textit{J. Thompson}, Potential Anal. 49, No. 4, 555--581 (2018; Zbl 1406.58021) Full Text: DOI arXiv
Tong, Jinying; Jin, Xinghu; Zhang, Zhenzhong Exponential ergodicity for SDEs driven by \(\alpha\)-stable processes with Markovian switching in Wasserstein distances. (English) Zbl 1426.60083 Potential Anal. 49, No. 4, 503-526 (2018). Reviewer: Peter Kern (Düsseldorf) MSC: 60H10 60G52 60J27 60J75 93E15 PDFBibTeX XMLCite \textit{J. Tong} et al., Potential Anal. 49, No. 4, 503--526 (2018; Zbl 1426.60083) Full Text: DOI
Yang, Saisai; Zhang, Tusheng Backward stochastic differential equations and Dirichlet problems of semilinear elliptic operators with singular coefficients. (English) Zbl 1425.60061 Potential Anal. 49, No. 2, 225-245 (2018). Reviewer: Xuan Loc Nguyen (Hanoi) MSC: 60H15 60H30 35J25 PDFBibTeX XMLCite \textit{S. Yang} and \textit{T. Zhang}, Potential Anal. 49, No. 2, 225--245 (2018; Zbl 1425.60061) Full Text: DOI
Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André Stochastic reaction-diffusion equations driven by jump processes. (English) Zbl 1398.60077 Potential Anal. 49, No. 1, 131-201 (2018). Reviewer: Martin Ondreját (Praha) MSC: 60H15 60J75 60G51 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Potential Anal. 49, No. 1, 131--201 (2018; Zbl 1398.60077) Full Text: DOI arXiv
Nguyen, Dang H.; Yin, George Recurrence and ergodicity of switching diffusions with past-dependent switching having a countable state space. (English) Zbl 1426.60079 Potential Anal. 48, No. 4, 405-435 (2018). MSC: 60H10 60J60 60J75 37A50 PDFBibTeX XMLCite \textit{D. H. Nguyen} and \textit{G. Yin}, Potential Anal. 48, No. 4, 405--435 (2018; Zbl 1426.60079) Full Text: DOI arXiv
Fang, Shizan; Luo, Dejun Constantin and Iyer’s representation formula for the Navier-Stokes equations on manifolds. (English) Zbl 1383.35139 Potential Anal. 48, No. 2, 181-206 (2018). MSC: 35Q30 58J65 35R60 60H30 PDFBibTeX XMLCite \textit{S. Fang} and \textit{D. Luo}, Potential Anal. 48, No. 2, 181--206 (2018; Zbl 1383.35139) Full Text: DOI arXiv
Högele, Michael A.; da Costa, Paulo Henrique Strong averaging along foliated Lévy diffusions with heavy tails on compact leaves. (English) Zbl 1380.60056 Potential Anal. 47, No. 3, 277-311 (2017). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H10 60J60 60G51 58J65 58J37 PDFBibTeX XMLCite \textit{M. A. Högele} and \textit{P. H. da Costa}, Potential Anal. 47, No. 3, 277--311 (2017; Zbl 1380.60056) 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
Chen, Chuchu; Hong, Jialin; Wang, Xu Approximation of invariant measure for damped stochastic nonlinear Schrödinger equation via an ergodic numerical scheme. (English) Zbl 1402.60085 Potential Anal. 46, No. 2, 323-367 (2017). MSC: 60H35 37M25 65M75 60-08 65C30 65N30 65M60 PDFBibTeX XMLCite \textit{C. Chen} et al., Potential Anal. 46, No. 2, 323--367 (2017; Zbl 1402.60085) Full Text: DOI arXiv
Bhar, Suprio Characterizing Gaussian flows arising from Itô’s stochastic differential equations. (English) Zbl 1365.60057 Potential Anal. 46, No. 2, 261-277 (2017). Reviewer: Toader Morozan (Bucureşti) MSC: 60H10 60J60 60G15 60H15 60H30 35K15 PDFBibTeX XMLCite \textit{S. Bhar}, Potential Anal. 46, No. 2, 261--277 (2017; Zbl 1365.60057) Full Text: DOI arXiv
Fernando, Pani W.; Hausenblas, Erika; Razafimandimby, Paul Analytic properties of Markov semigroup generated by stochastic differential equations driven by Lévy processes. (English) Zbl 1390.60204 Potential Anal. 46, No. 1, 1-21 (2017). Reviewer: Athanasios Yannacopoulos (Athens) MSC: 60H10 60G51 47D06 60J35 60J75 35S05 35S30 PDFBibTeX XMLCite \textit{P. W. Fernando} et al., Potential Anal. 46, No. 1, 1--21 (2017; Zbl 1390.60204) Full Text: DOI arXiv
Kim, Daesung Martingale transforms and the Hardy-Littlewood-Sobolev inequality for semigroups. (English) Zbl 1360.60092 Potential Anal. 45, No. 4, 795-807 (2016). Reviewer: Choonkil Park (Seoul) MSC: 60G46 42B25 47D07 60H30 47G30 26D10 PDFBibTeX XMLCite \textit{D. Kim}, Potential Anal. 45, No. 4, 795--807 (2016; Zbl 1360.60092) Full Text: DOI arXiv
Arcozzi, Nicola; Domelevo, Komla; Petermichl, Stefanie Second order Riesz transforms on multiply-connected Lie groups and processes with jumps. (English) Zbl 1365.60045 Potential Anal. 45, No. 4, 777-794 (2016). Reviewer: Nicolas Privault (Singapore) MSC: 60G44 60H05 43A25 60G46 60J75 22E30 PDFBibTeX XMLCite \textit{N. Arcozzi} et al., Potential Anal. 45, No. 4, 777--794 (2016; Zbl 1365.60045) Full Text: DOI arXiv
Świȩch, Andrzej; Zabczyk, Jerzy Integro-PDE in Hilbert spaces: existence of viscosity solutions. (English) Zbl 1352.49025 Potential Anal. 45, No. 4, 703-736 (2016). MSC: 49L25 49L20 35R09 60H15 60G51 60H30 35D40 35K60 49J55 93E20 91G80 PDFBibTeX XMLCite \textit{A. Świȩch} and \textit{J. Zabczyk}, Potential Anal. 45, No. 4, 703--736 (2016; Zbl 1352.49025) Full Text: DOI
Thompson, James Brownian motion and the distance to a submanifold. (English) Zbl 1353.58015 Potential Anal. 45, No. 3, 485-508 (2016). MSC: 58J65 53B21 60J55 PDFBibTeX XMLCite \textit{J. Thompson}, Potential Anal. 45, No. 3, 485--508 (2016; Zbl 1353.58015) Full Text: DOI arXiv
Chen, Yong; Gao, Hongjun Well-posedness and large deviations of the stochastic modified Camassa-Holm equation. (English) Zbl 1350.60055 Potential Anal. 45, No. 2, 331-354 (2016). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 60H15 60F10 35R60 35L05 35L70 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. Gao}, Potential Anal. 45, No. 2, 331--354 (2016; Zbl 1350.60055) Full Text: DOI
Kohatsu-Higa, Arturo; Taguchi, Dai; Zhong, Jie The parametrix method for skew diffusions. (English) Zbl 1358.65009 Potential Anal. 45, No. 2, 299-329 (2016). Reviewer: Gong Guanglu (Beijing) MSC: 65C30 65C05 60H15 60H35 65M80 35R60 60J65 PDFBibTeX XMLCite \textit{A. Kohatsu-Higa} et al., Potential Anal. 45, No. 2, 299--329 (2016; Zbl 1358.65009) Full Text: DOI
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
Chen, Le; Khoshnevisan, Davar; Kim, Kunwoo Decorrelation of total mass via energy. (English) Zbl 1343.60082 Potential Anal. 45, No. 1, 157-166 (2016). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{L. Chen} et al., Potential Anal. 45, No. 1, 157--166 (2016; Zbl 1343.60082) Full Text: DOI arXiv
Bao, Jianhai; Shao, Jinghai; Yuan, Chenggui Approximation of invariant measures for regime-switching diffusions. (English) Zbl 1342.60087 Potential Anal. 44, No. 4, 707-727 (2016). Reviewer: Max Fathi (Berkeley) MSC: 60H10 60J60 60H35 60J27 65C30 PDFBibTeX XMLCite \textit{J. Bao} et al., Potential Anal. 44, No. 4, 707--727 (2016; Zbl 1342.60087) Full Text: DOI arXiv
Uchiyama, Kôhei Density of space-time distribution of Brownian first hitting of a disc and a ball. (English) Zbl 1361.60073 Potential Anal. 44, No. 3, 497-541 (2016). Reviewer: René L. Schilling (Dresden) MSC: 60J65 60J60 60H10 60J45 PDFBibTeX XMLCite \textit{K. Uchiyama}, Potential Anal. 44, No. 3, 497--541 (2016; Zbl 1361.60073) Full Text: DOI arXiv
Cioica, P. A.; Dahlke, S.; Döhring, N.; Friedrich, U.; Kinzel, S.; Lindner, F.; Raasch, T.; Ritter, K.; Schilling, René L. On the convergence analysis of the inexact linearly implicit Euler scheme for a class of stochastic partial differential equations. (English) Zbl 1337.60160 Potential Anal. 44, No. 3, 473-495 (2016). MSC: 60H35 60H15 65C30 65M22 PDFBibTeX XMLCite \textit{P. A. Cioica} et al., Potential Anal. 44, No. 3, 473--495 (2016; Zbl 1337.60160) Full Text: DOI arXiv
Gong, Fuzhou; Li, Huaiqian; Luo, Dejun Erratum to: “A probabilistic proof of the fundamental gap conjecture via the coupling by reflection”. (English) Zbl 1464.35161 Potential Anal. 44, No. 3, 443-447 (2016). MSC: 35P15 60H10 PDFBibTeX XMLCite \textit{F. Gong} et al., Potential Anal. 44, No. 3, 443--447 (2016; Zbl 1464.35161) Full Text: DOI
Gong, Fuzhou; Li, Huaiqian; Luo, Dejun A probabilistic proof of the fundamental gap conjecture via the coupling by reflection. (English) Zbl 1342.35191 Potential Anal. 44, No. 3, 423-442 (2016); erratum ibid. 44, No. 3, 443-447 (2016). Reviewer: Vassilis G. Papanicolaou (Athena) MSC: 35P15 60H10 PDFBibTeX XMLCite \textit{F. Gong} et al., Potential Anal. 44, No. 3, 423--442 (2016; Zbl 1342.35191) Full Text: DOI arXiv
Mijena, Jebessa B.; Nane, Erkan Intermittence and space-time fractional stochastic partial differential equations. (English) Zbl 1341.60063 Potential Anal. 44, No. 2, 295-312 (2016). Reviewer: Dominique Lepingle (Orléans) MSC: 60H15 26A33 PDFBibTeX XMLCite \textit{J. B. Mijena} and \textit{E. Nane}, Potential Anal. 44, No. 2, 295--312 (2016; Zbl 1341.60063) Full Text: DOI arXiv
Yang, Desheng \(m\)-dissipativity for Kolmogorov operator of a fractional Burgers equation with space-time white noise. (English) Zbl 1334.35455 Potential Anal. 44, No. 2, 215-227 (2016). MSC: 35R60 35R11 47H06 60H15 PDFBibTeX XMLCite \textit{D. Yang}, Potential Anal. 44, No. 2, 215--227 (2016; Zbl 1334.35455) Full Text: DOI
Feng, Shui; Wang, Feng-Yu Harnack inequality and applications for infinite-dimensional GEM processes. (English) Zbl 1337.60188 Potential Anal. 44, No. 1, 137-153 (2016). MSC: 60J60 60H10 PDFBibTeX XMLCite \textit{S. Feng} and \textit{F.-Y. Wang}, Potential Anal. 44, No. 1, 137--153 (2016; Zbl 1337.60188) Full Text: DOI arXiv
Cheng, Li-Juan; Wang, Ying-Zhe Algebraic convergence rate for reflecting diffusion processes on manifolds with boundary. (English) Zbl 1338.58023 Potential Anal. 44, No. 1, 91-107 (2016). Reviewer: Jean Picard (Aubière) MSC: 58J65 60F25 60J60 PDFBibTeX XMLCite \textit{L.-J. Cheng} and \textit{Y.-Z. Wang}, Potential Anal. 44, No. 1, 91--107 (2016; Zbl 1338.58023) Full Text: DOI
da Costa, Paulo Henrique P.; Ruffino, Paulo R. Degenerate semigroups and stochastic flows of mappings in foliated manifolds. (English) Zbl 1339.60091 Potential Anal. 43, No. 3, 461-480 (2015). MSC: 60H30 60H10 PDFBibTeX XMLCite \textit{P. H. P. da Costa} and \textit{P. R. Ruffino}, Potential Anal. 43, No. 3, 461--480 (2015; Zbl 1339.60091) Full Text: DOI arXiv
Nguyen, Tien Dung; Privault, Nicolas; Torrisi, Giovanni Luca Gaussian estimates for the solutions of some one-dimensional stochastic equations. (English) Zbl 1321.60127 Potential Anal. 43, No. 2, 289-311 (2015). MSC: 60H10 60H07 60F05 60G22 60G57 PDFBibTeX XMLCite \textit{T. D. Nguyen} et al., Potential Anal. 43, No. 2, 289--311 (2015; Zbl 1321.60127) Full Text: DOI Link