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). Reviewer: Yana Kinderknecht (Saarbrücken) MSC: 60H25 60F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gozlan, N.; Li, Xue-Mei; Madiman, M.; Roberto, C.; Samson, P.-M. Log-Hessian and deviation bounds for Markov semi-groups, and regularization effect in \(\mathbb{L}^1 \). (English) Zbl 1506.60028 Potential Anal. 58, No. 1, 123-158 (2023). MSC: 60E15 47D07 26D10 60K25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barthe, Franck; Strzelecki, Michał Functional inequalities for two-level concentration. (English) Zbl 1485.60020 Potential Anal. 56, No. 4, 669-696 (2022). MSC: 60E15 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gozlan, Nathaël; Herry, Ronan Multiple sets exponential concentration and higher order eigenvalues. (English) Zbl 1434.35026 Potential Anal. 52, No. 2, 203-221 (2020). MSC: 35P15 60E15 26D10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Grong, Erlend; Thalmaier, Anton Stochastic completeness and gradient representations for Sub-Riemannian manifolds. (English) Zbl 1481.60156 Potential Anal. 51, No. 2, 219-254 (2019). MSC: 60J60 35P99 53C17 47B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Yuan A link between the log-Sobolev inequality and Lyapunov condition. (English) Zbl 1350.26029 Potential Anal. 44, No. 4, 629-637 (2016). Reviewer: Javier Soria (Barcelona) MSC: 26D10 47D07 60E15 60J60 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Acuña Valverde, Luis; Bañuelos, Rodrigo Heat content and small time asymptotics for Schrödinger operators on \(\mathbb R^d\). (English) Zbl 1322.60157 Potential Anal. 42, No. 2, 457-482 (2015). MSC: 60J45 60G52 35R11 35J10 60E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herzog, David P.; Totz, Nathan An extension of Hörmander’s hypoellipticity theorem. (English) Zbl 1317.35091 Potential Anal. 42, No. 2, 403-433 (2015). Reviewer: Nathaniel Eldredge (Greeley) MSC: 35J70 35H10 35H20 60H07 46E35 35S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perlmutter, Michael On a class of Calderón-Zygmund operators arising from projections of martingale transforms. (English) Zbl 1322.42020 Potential Anal. 42, No. 2, 383-401 (2015). Reviewer: Haibo Lin (Beijing) MSC: 42B20 60G46 60G52 60H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gordina, Maria; Haga, John Lévy processes in a step 3 nilpotent Lie group. (English) Zbl 1296.60122 Potential Anal. 41, No. 2, 367-382 (2014). MSC: 60G51 35S05 58J65 60J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cecil, Matthew; Hall, Brian C. Dimension-independent estimates for heat operators and harmonic functions. (English) Zbl 1295.58008 Potential Anal. 40, No. 4, 363-389 (2014). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 58J35 22E30 31B05 58J65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Klimsiak, Tomasz Cauchy problem for semilinear parabolic equation with time-dependent obstacles: a BSDEs approach. (English) Zbl 1292.35156 Potential Anal. 39, No. 2, 99-140 (2013). MSC: 35K86 60H99 35K58 35K15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Bañuelos, Rodrigo; Baudoin, Fabrice Martingale transforms and their projection operators on manifolds. (English) Zbl 1280.58022 Potential Anal. 38, No. 4, 1071-1089 (2013). Reviewer: Simon Eloshvili (Tbilisi) MSC: 58J65 60G46 60H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Damek, Ewa; Mentemeier, Sebastian; Mirek, Mariusz; Zienkiewicz, Jacek Convergence to stable laws for multidimensional stochastic recursions: the case of regular matrices. (English) Zbl 1266.60041 Potential Anal. 38, No. 3, 683-697 (2013). MSC: 60F05 60J05 60E07 60H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dragoni, Federica; Kontis, Vasilis; Zegarliński, Bogusław Ergodicity of Markov semigroups with Hörmander type generators in infinite dimensions. (English) Zbl 1257.47047 Potential Anal. 37, No. 3, 199-227 (2012). Reviewer: Simon Eloshvili (Tbilisi) MSC: 47D07 60H10 60J25 31B05 60J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hinz, Michael; Zähle, Martina Semigroups, potential spaces and applications to (S)PDE. (English) Zbl 1251.60053 Potential Anal. 36, No. 3, 483-515 (2012). Reviewer: Dora Selesi (Novi Sad) MSC: 60H15 35K60 31E05 46E35 47D06 35S10 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhen-Qing; Kim, Panki; Song, Renming Global heat kernel estimates for relativistic stable processes in half-space-like open sets. (English) Zbl 1239.60076 Potential Anal. 36, No. 2, 235-261 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60J35 47G30 60J75 60G52 × Cite Format Result Cite Review PDF Full Text: DOI
Klimsiak, Tomasz Strong solutions of semilinear parabolic equations with measure data and generalized backward stochastic differential equations. (English) Zbl 1262.35138 Potential Anal. 36, No. 2, 373-404 (2012). Reviewer: Dirk Blömker (Augsburg) MSC: 35K85 35K58 35R06 60H35 60H30 35K15 35D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Papageorgiou, Ioannis A note on the modified log-Sobolev inequality. (English) Zbl 1234.60022 Potential Anal. 35, No. 3, 275-286 (2011). Reviewer: B. L. S. Prakasa Rao (Hyderabad) MSC: 60E15 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Komorowski, Tomasz; Nieznaj, Ernest On the asymptotic behavior of solutions of the heat equation with a random, long-range correlated potential. (English) Zbl 1193.35259 Potential Anal. 33, No. 2, 175-197 (2010). MSC: 35R60 60H15 60H25 35K15 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Inglis, J.; Papageorgiou, I. Logarithmic Sobolev inequalities for infinite dimensional Hörmander type generators on the Heisenberg group. (English) Zbl 1180.22012 Potential Anal. 31, No. 1, 79-102 (2009). Reviewer: Taras Banakh (Lviv) MSC: 22E30 39B62 60K35 60E15 82B20 58J65 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gyöngy, István; Millet, Annie Rate of convergence of space time approximations for stochastic evolution equations. (English) Zbl 1168.60025 Potential Anal. 30, No. 1, 29-64 (2009). Reviewer: Elisa Alòs (Barcelona) MSC: 60H15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Barthe, F.; Roberto, C. Modified logarithmic Sobolev inequalities on \(\mathbb{R}\). (English) Zbl 1170.26010 Potential Anal. 29, No. 2, 167-193 (2008). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 60E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van Neerven, J. M. A. M.; Weis, L. Stochastic integration of operator-valued functions with respect to Banach space-valued Brownian motion. (English) Zbl 1148.60031 Potential Anal. 29, No. 1, 65-88 (2008). Reviewer: Franco Fagnola (Milano) MSC: 60H05 35R15 47B10 60H15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu \(L^q\)-functional inequalities and weighted porous media equations. (English) Zbl 1148.26018 Potential Anal. 28, No. 1, 35-59 (2008). Reviewer: Wei Nian Li (Binzhou) MSC: 26D10 35K55 39B62 46E27 46E35 60E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezerra, Sérgio de Carvalho; Tindel, Samy A central limit theorem for a localized version of the SK model. (English) Zbl 1118.60078 Potential Anal. 26, No. 4, 323-343 (2007). MSC: 60K35 82D30 82B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Applebaum, David On the infinitesimal generators of Ornstein-Uhlenbeck processes with jumps in Hilbert space. (English) Zbl 1112.60044 Potential Anal. 26, No. 1, 79-100 (2007). Reviewer: A. V. Balakrishnan (Los Angeles) MSC: 60H10 60H25 47Dxx 34Gxx × Cite Format Result Cite Review PDF Full Text: DOI
Da Prato, Giuseppe; Debussche, Arnaud \(m\)-dissipativity of Kolmogorov operators corresponding to Burgers equations with space-time white noise. (English) Zbl 1119.35128 Potential Anal. 26, No. 1, 31-55 (2007). Reviewer: Nikita E. Ratanov (Bogotá) MSC: 35R60 35Q53 60H15 47H06 × Cite Format Result Cite Review PDF Full Text: DOI
Gyöngy, István; Millet, Annie On discretization schemes for stochastic evolution equations. (English) Zbl 1067.60049 Potential Anal. 23, No. 2, 99-134 (2005). Reviewer: Carles Rovira (Barcelona) MSC: 60H15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Shiozawa, Yuichi; Takeda, Masayoshi Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric \(\alpha\)-stable processes. (English) Zbl 1070.31006 Potential Anal. 23, No. 2, 135-151 (2005). Reviewer: Zoran Vondraček (Zagreb) MSC: 31C25 34L15 60G52 47D07 × Cite Format Result Cite Review PDF Full Text: DOI
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A. A probabilistic approach for nonlinear equations involving the fractional Laplacian and a singular operator. (English) Zbl 1069.60056 Potential Anal. 23, No. 1, 55-81 (2005). Reviewer: Jacques Franchi (Strasbourg) MSC: 60H30 60H10 26A33 60K35 35S10 × Cite Format Result Cite Review PDF Full Text: DOI
Lescot, Paul; Röckner, Michael Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. (English) Zbl 1052.47033 Potential Anal. 20, No. 4, 317-344 (2004). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D03 60H15 47D07 × Cite Format Result Cite Review PDF Full Text: DOI
Sabot, Christophe Laplace operators on fractal lattices with random blow-ups. (English) Zbl 1068.82012 Potential Anal. 20, No. 2, 177-193 (2004). MSC: 82B44 60H25 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kassmann, Moritz On regularity for Beurling-Deny type Dirichlet forms. (English) Zbl 1024.31007 Potential Anal. 19, No. 1, 69-87 (2003). Reviewer: Zoran Vondraček (Zagreb) MSC: 31C25 35B05 35B65 60G52 60J75 × Cite Format Result Cite Review PDF Full Text: DOI
Goldys, B.; Gozzi, F.; van Neerven, J. M. A. M. On closability of directional gradients. (English) Zbl 1055.60053 Potential Anal. 18, No. 4, 289-310 (2003). Reviewer: Alessandro Duci (Santa Clara) MSC: 60H07 28C20 47D03 47N30 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
van Neerven, J. M. A. M. Continuity and representation of Gaussian Mehler semigroups. (English) Zbl 0974.47036 Potential Anal. 13, No. 3, 199-211 (2000). Reviewer: Stanislaw Wedrychowicz (Rzeszów) MSC: 47D06 35R60 35R15 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Gordina, Maria Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group. (English) Zbl 0960.46026 Potential Anal. 12, No. 4, 325-357 (2000). Reviewer: Klaus Dieter Bierstedt (Paderborn) MSC: 46E50 60H15 22E30 22E65 58J65 22E60 46G25 46G20 × Cite Format Result Cite Review PDF Full Text: DOI
Cipriani, F.; Grillo, G. Pointwise properties of eigenfunctions and heat kernels of Dirichlet-Schrödinger operators. (English) Zbl 0955.35018 Potential Anal. 8, No. 2, 101-126 (1998). MSC: 35J10 35K05 35B45 60H30 × Cite Format Result Cite Review PDF Full Text: DOI
Gątarek, Dariusz; Goldys, Beniamin On invariant measures for diffusions on Banach spaces. (English) Zbl 0894.60057 Potential Anal. 7, No. 2, 539-553 (1997). MSC: 60H15 47A35 × Cite Format Result Cite Review PDF Full Text: DOI
Brzeźniak, Zdzisław Stochastic partial differential equations in \(M\)-type 2 Banach spaces. (English) Zbl 0831.35161 Potential Anal. 4, No. 1, 1-45 (1995). Reviewer: A.D.Borisenko (Kiev) MSC: 35R60 60H15 46E35 47F05 47D06 × Cite Format Result Cite Review PDF Full Text: DOI
Albeverio, S.; Kondratiev, Ju. G.; Röckner, M. Addendum to the paper “An approximate criterium of essential self- adjointness of Dirichlet operators”. (English) Zbl 0808.47022 Potential Anal. 2, No. 2, 195-198 (1993). Reviewer: W.Schenk (Dresden) MSC: 47B25 31C25 60J45 35G10 35K25 60H15 × Cite Format Result Cite Review PDF Full Text: DOI
Albeverio, S.; Kondratiev, Ju. G.; Röckner, M. An approximate criterium of essential self-adjointness of Dirichlet operators. (English) Zbl 0808.47021 Potential Anal. 1, No. 3, 307-317 (1992). Reviewer: W.Schenk (Dresden) MSC: 47B25 60J45 31C25 60H15 35G10 35K25 × Cite Format Result Cite Review PDF Full Text: DOI