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“Bruno Pini” Mathematical Analysis Seminar 2023. Papers from the seminar, University of Bologna, Bologna, Italy, 2023. Bologna: Università di Bologna, Alma Mater Studiorum. 139-162 (2024).

MSC: 35B65 35K65 35K70 35B44

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Biagi, Stefano; Bramanti, Marco

Schauder estimates for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and Hölder continuous in space. (English) Zbl 1531.35094

J. Math. Anal. Appl. 533, No. 1, Article ID 127996, 65 p. (2024).

MSC: 35B45 35Q84 35R05

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Wang, Wendong; Zhang, Liqun

\(C^\alpha\) regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms. (English) Zbl 1532.35283

Sci. China, Math. 67, No. 1, 23-44 (2024).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35K70 35B65 35H10 35K20

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Pagliarani, Stefano; Lucertini, Giacomo; Pascucci, Andrea

Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients. (English) Zbl 1528.35075

J. Evol. Equ. 23, No. 4, Paper No. 69, 37 p. (2023).

MSC: 35K65 35B65 35A08

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Bignamini, Davide A.; Ferrari, Simone

Schauder regularity results in separable Hilbert spaces. (English) Zbl 1518.35702

J. Differ. Equations 370, 305-345 (2023).

MSC: 35R60 35B65 35K20 35K90 47D07 60J35

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Farkas, Bálint; Jacob, Birgit; Schmitz, Merlin

On exponential splitting methods for semilinear abstract Cauchy problems. (English) Zbl 1520.47120

Integral Equations Oper. Theory 95, No. 2, Paper No. 15, 24 p. (2023).

MSC: 47N40 47J35 65J08 47D06 65M15 65M12

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Anceschi, Francesca; Rebucci, Annalaura

On the fundamental solution for degenerate Kolmogorov equations with rough coefficients. (English) Zbl 1517.35128

J. Elliptic Parabol. Equ. 9, No. 1, 63-92 (2023).

MSC: 35K70 35A08 35B65 35D30 35Q84 35H20

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Chaudru de Raynal, P. E.; Menozzi, S.; Pesce, A.; Zhang, X.

Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients. (English) Zbl 1538.60093

Bull. Sci. Math. 183, Article ID 103229, 56 p. (2023).

MSC: 60H10 34F05

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Lunardi, Alessandra

Time regularity for generalized Mehler semigroups. (English) Zbl 1540.47062

Math. Nachr. 295, No. 11, 2223-2245 (2022).

MSC: 47D07 35B65 35R15

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Bras, Pierre; Pagès, Gilles; Panloup, Fabien

Total variation distance between two diffusions in small time with unbounded drift: application to the Euler-Maruyama scheme. (English) Zbl 1517.65006

Electron. J. Probab. 27, Paper No. 153, 19 p. (2022).

MSC: 65C30 60H10 60H35

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Addona, Davide; Cappa, Gianluca; Ferrari, Simone

On the domain of non-symmetric and, possibly, degenerate Ornstein-Uhlenbeck operators in separable Banach spaces. (English) Zbl 1518.28011

Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 33, No. 2, 297-359 (2022).

MSC: 28C20 37J70 47D06

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Marino, L.; Menozzi, S.; Priola, E.

Poisson process and sharp constants in \(L^p\) and Schauder estimates for a class of degenerate Kolmogorov operators. (English) Zbl 1498.35121

Stud. Math. 267, No. 3, 321-346 (2022).

MSC: 35B45 35H10 35K15 35K65 35K70 60J76

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Garofalo, Nicola; Tralli, Giulio

Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups. (English) Zbl 1496.35019

Math. Ann. 383, No. 1-2, 1-38 (2022).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35A23 35H10 47D06

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Manfredini, Maria

Intrinsic fractional Taylor formula. (English) Zbl 1487.35230

“Bruno Pini” Mathematical Analysis Seminar 2021. Papers from the seminar, University of Bologna, Bologna, Italy, 2021. Bologna: Università di Bologna, Alma Mater Studiorum. 1-14 (2022).

MSC: 35K70 35B06 35H10 35Q84 35R09

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Polidoro, Sergio; Rebucci, Annalaura; Stroffolini, Bianca

Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients. (English) Zbl 1487.35136

Commun. Pure Appl. Anal. 21, No. 4, 1385-1416 (2022).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35B45 35K70 35K65 35B65

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Alphonse, Paul

Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates. (English) Zbl 07504662

J. Evol. Equ. 22, No. 1, Paper No. 28, 25 p. (2022).

MSC: 47D06 35B65 35H20

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Ipocoana, Erica; Rebucci, Annalaura

Pointwise estimates for degenerate Kolmogorov equations with \(L^p\)-source term. (English) Zbl 1487.35134

J. Evol. Equ. 22, No. 1, Paper No. 2, 25 p. (2022).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35B45 35B44 35K70 35K65 35B65

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Pascucci, Andrea; Pesce, Antonello

On stochastic Langevin and Fokker-Planck equations: the two-dimensional case. (English) Zbl 1480.35415

J. Differ. Equations 310, 443-483 (2022).

MSC: 35R60 35Q84 82C31

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Niebel, Lukas; Zacher, Rico

Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations. (English) Zbl 1478.35066

J. Differ. Equations 307, 29-82 (2022).

MSC: 35B65 35K15 35K65 35K59

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Imbert, Cyril; Mouhot, Clément

The Schauder estimate in kinetic theory with application to a toy nonlinear model. (L’estimation de Schauder en théorie cinétique et son application à un modèle jouet nonlinéaire.) (English. French summary) Zbl 1484.35093

Ann. Henri Lebesgue 4, 369-405 (2021).

MSC: 35B45 35B65 35H10 35Q49 35Q84 82C40

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Niebel, Lukas; Zacher, Rico

Kinetic maximal \(L^2\)-regularity for the (fractional) Kolmogorov equation. (English) Zbl 1480.35084

J. Evol. Equ. 21, No. 3, 3585-3612 (2021).

MSC: 35B65 35K15 35K65 35H10

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Garofalo, Nicola; Tralli, Giulio

A class of nonlocal hypoelliptic operators and their extensions. (English) Zbl 1487.35195

Indiana Univ. Math. J. 70, No. 5, 1717-1744 (2021).

Reviewer: Sérgio Luís Zani (São Carlos)

MSC: 35H10 35R11 47D06

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Lunardi, Alessandra; Röckner, Michael

Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. (English) Zbl 1478.35065

J. Lond. Math. Soc., II. Ser. 104, No. 2, 492-540 (2021).

MSC: 35B65 35R11 35R15 35S05 47D07 60J35

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Alphonse, Paul

Quadratic differential equations: partial Gelfand-Shilov smoothing effect and null-controllability. (English) Zbl 1476.35074

J. Inst. Math. Jussieu 20, No. 6, 1749-1801 (2021).

MSC: 35B65 35S05 93B05

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De Raynal, Paul-Éric Chaudru; Honoré, Igor; Menozzi, Stéphane

Sharp Schauder estimates for some degenerate Kolmogorov equations. (English) Zbl 1476.35061

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 3, 989-1089 (2021).

MSC: 35B45 35B65 35R60 60H10

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Imbert, Cyril; Silvestre, Luis

The Schauder estimate for kinetic integral equations. (English) Zbl 1467.35069

Anal. PDE 14, No. 1, 171-204 (2021).

MSC: 35B45 35K70 35Q49 35R09

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Kozhina, A. A.

Weak error for the Euler scheme approximation of degenerate diffusions with nonsmooth coefficients. (English. Russian original) Zbl 1465.60072

J. Math. Sci., New York 254, No. 4, 510-531 (2021); translation from Fundam. Prikl. Mat. 22, No. 3, 91-118 (2018).

MSC: 60J60 60H35 65C30

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Marino, Lorenzo

Schauder estimates for degenerate Lévy Ornstein-Uhlenbeck operators. (English) Zbl 1462.35428

J. Math. Anal. Appl. 500, No. 1, Article ID 125168, 37 p. (2021).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35R09 47G20 60G51 60J60 35B45

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Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.

\(L^p\)-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators. (English) Zbl 1454.35239

J. Funct. Anal. 280, No. 2, Article ID 108807, 22 p. (2021).

MSC: 35P05 35J70 35K65 47D06

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Bramanti, Marco; Polidoro, Sergio

Fundamental solutions for Kolmogorov-Fokker-Planck operators with time-depending measurable coefficients. (English) Zbl 1490.35495

Math. Eng. (Springfield) 2, No. 4, 734-771 (2020).

MSC: 35Q84

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Imbert, Cyril; Silvestre, Luis

Regularity for the Boltzmann equation conditional to macroscopic bounds. (English) Zbl 1459.35307

EMS Surv. Math. Sci. 7, No. 1, 117-172 (2020).

MSC: 35Q20 35B65 35B45 35H10 82C22 35R09

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Alphonse, Paul; Bernier, Joackim

Smoothing properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability. (English) Zbl 1454.93024

Bull. Sci. Math. 165, Article ID 102914, 52 p. (2020).

MSC: 93B05 93B28 93C20 35B65 35H20

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Marino, Lorenzo

Schauder estimates for degenerate stable Kolmogorov equations. (English) Zbl 1439.35294

Bull. Sci. Math. 162, Article ID 102885, 97 p. (2020).

MSC: 35K65 35R09 35B45 60H30

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Hao, Zimo; Wu, Mingyan; Zhang, Xicheng

Schauder estimates for nonlocal kinetic equations and applications. (English. French summary) Zbl 1448.35318

J. Math. Pures Appl. (9) 140, 139-184 (2020).

MSC: 35K65 35K08 35Q49 35R60 35R09 60H10

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Garofalo, Nicola; Tralli, Giulio

Functional inequalities for a class of nonlocal hypoelliptic equations of Hörmander type. (English) Zbl 1439.35139

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111567, 23 p. (2020).

MSC: 35H10 35R11 26D10 47F05

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Chen, Zhen-Qing; Zhang, Xicheng

Propagation of regularity in \(L^p\)-spaces for Kolmogorov-type hypoelliptic operators. (English) Zbl 1430.42027

J. Evol. Equ. 19, No. 4, 1041-1069 (2019).

MSC: 42B35 42B20 60H30 35H10 35Q20

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Baldi, Annalisa; Citti, Giovanna; Cupini, Giovanni

Schauder estimates at the boundary for sub-Laplacians in Carnot groups. (English) Zbl 1423.35377

Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 204, 43 p. (2019).

MSC: 35R03 35B65 35J25

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Anceschi, Francesca; Eleuteri, Michela; Polidoro, Sergio

A geometric statement of the Harnack inequality for a degenerate Kolmogorov equation with rough coefficients. (English) Zbl 1423.35086

Commun. Contemp. Math. 21, No. 7, Article ID 1850057, 17 p. (2019).

MSC: 35H20 35K70 35B65 35Q84

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Cerrai, Sandra; Lunardi, Alessandra

Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. (English) Zbl 1422.35183

J. Differ. Equations 267, No. 12, 7462-7482 (2019).

MSC: 35R15 47D07 60J35

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Hwang, Hyung Ju; Jang, Juhi; Velázquez, Juan J. L.

Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions. (English) Zbl 1408.35190

Arch. Ration. Mech. Anal. 231, No. 3, 1309-1400 (2019).

MSC: 35Q84 82C31 35B33 35B40

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Hwang, Hyung Ju; Jang, Juhi; Velázquez, Juan J. L.

On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries. (English) Zbl 1404.35446

Q. Appl. Math. 77, No. 1, 19-70 (2019).

MSC: 35Q84 35K65 35A20 35Q70 35R60 35R06 60H15 60H30 47D07

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Lanconelli, Alberto; Pascucci, Andrea

Nash estimates and upper bounds for non-homogeneous Kolmogorov equations. (English) Zbl 1383.35105

Potential Anal. 47, No. 4, 461-483 (2017).

MSC: 35K57 35K65 35K70

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Gozzi, Fausto; Masiero, Federica

Stochastic optimal control with delay in the control. I: Solving the HJB equation through partial smoothing. (English) Zbl 1375.93140

SIAM J. Control Optim. 55, No. 5, 2981-3012 (2017); errata ibid. 59, No. 4, 3096-3101 (2021).

MSC: 93E20 60H20 47D07 49L20 35R15

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Pagliarani, S.; Pascucci, A.; Pignotti, M.

Intrinsic expansions for averaged diffusion processes. (English) Zbl 1373.60137

Stochastic Processes Appl. 127, No. 8, 2560-2585 (2017).

MSC: 60J60 91G80 91G20

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Martino, Vittorio; Tralli, Giulio

On the Hopf-Oleinik lemma for degenerate-elliptic equations at characteristic points. (English) Zbl 1356.35116

Calc. Var. Partial Differ. Equ. 55, No. 5, Paper No. 115, 20 p. (2016).

Reviewer: Giovanni Anello (Messina)

MSC: 35J70 35B51 35R03

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Pagliarani, Stefano; Pascucci, Andrea; Pignotti, Michele

Intrinsic Taylor formula for Kolmogorov-type homogeneous groups. (English) Zbl 1330.22017

J. Math. Anal. Appl. 435, No. 2, 1054-1087 (2016).

Reviewer: Lubomira Softova (Aversa)

MSC: 22E30 35K70 35K65 35R03

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Bonfiglioli, Andrea; Citti, Giovanna; Cupini, Giovanni; Manfredini, Maria; Montanari, Annamaria; Morbidelli, Daniele; Pascucci, Andrea; Polidoro, Sergio; Uguzzoni, Francesco

The role of fundamental solution in potential and regularity theory for subelliptic PDE. (English) Zbl 1338.35010

Citti, Giovanna (ed.) et al., Geometric methods in PDE’s. Cham: Springer (ISBN 978-3-319-02665-7/hbk; 978-3-319-02666-4/ebook). Springer INdAM Series 13, 341-373 (2015).

MSC: 35A08

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Priola, Enrico

On weak uniqueness for some degenerate SDEs by global \(L^p\) estimates. (English) Zbl 1306.60077

Potential Anal. 42, No. 1, 247-281 (2015).

MSC: 60H10 60J60

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Bramanti, M.; Cupini, G.; Lanconelli, E.; Priola, E.

Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators with variable coefficients. (English) Zbl 1294.35008

Math. Nachr. 286, No. 11-12, 1087-1101 (2013); erratum ibid. 294, No. 9, 1839-1842 (2021).

MSC: 35H10 35B45 35K70 42B20

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Bonfiglioli, Andrea; Lanconelli, Ermanno

Matrix-exponential groups and Kolmogorov-Fokker-Planck equations. (English) Zbl 1257.47044

J. Evol. Equ. 12, No. 1, 59-82 (2012).

Reviewer: Michael Perelmuter (Kyïv)

MSC: 47D03 35J70 43A80 37C10

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Krylov, N. V.

Kalman-Bucy filter and SPDEs with growing lower-order coefficients in \(W_{p}^{1}\) spaces without weights. (English) Zbl 1260.60122

Ill. J. Math. 54, No. 3, 1069-1114 (2010).

MSC: 60H15 93E11

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Bramanti, Marco; Cupini, Giovanni; Lanconelli, Ermanno; Priola, Enrico

Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators. (English) Zbl 1206.35051

Math. Z. 266, No. 4, 789-816 (2010).

Reviewer: Lubomira Softova (Aversa)

MSC: 35B45 35H10 35K70 42B20

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Gutiérrez, Cristian E.; Lanconelli, Ermanno

Schauder estimates for sub-elliptic equations. (English) Zbl 1239.35039

J. Evol. Equ. 9, No. 4, 707-726 (2009).

MSC: 35H20 35B45 35R03

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Wang, WenDong; Zhang, LiQun

The \(C^{\alpha}\) regularity of a class of non-homogeneous ultraparabolic equations. (English) Zbl 1181.35139

Sci. China, Ser. A 52, No. 8, 1589-1606 (2009).

MSC: 35K70 35D30 35B65 35R05

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Cinti, Chiara; Polidoro, Sergio

Pointwise local estimates and Gaussian upper bounds for a class of uniformly subelliptic ultraparabolic operators. (English) Zbl 1152.35062

J. Math. Anal. Appl. 338, No. 2, 946-969 (2008).

Reviewer: Alberto Parmeggiani (Bologna)

MSC: 35K70 35A08 35H20

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Cinti, Chiara; Pascucci, Andrea; Polidoro, Sergio

Pointwise estimates for a class of non-homogeneous Kolmogorov equations. (English) Zbl 1162.35015

Math. Ann. 340, No. 2, 237-264 (2008).

Reviewer: Georgii Sviridyuk (Chelyabinsk)

MSC: 35B45 35K57 35K65 35K70

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Yao, Feng-Ping; Zhou, Shu-Lin

Schauder estimates for parabolic equation of bi-harmonic type. (English) Zbl 1231.35092

Appl. Math. Mech., Engl. Ed. 28, No. 11, 1503-1516 (2007).

MSC: 35K25 35G05 35A01 35A02

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Da Prato, Giuseppe; Lunardi, Alessandra

On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures. (English) Zbl 1132.47039

Math. Z. 256, No. 3, 509-520 (2007).

Reviewer: Feng-Yu Wang (Swansea)

MSC: 47F05 35J70 60H10 37L40

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Farkas, B.; Lunardi, A.

Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures. (English) Zbl 1117.35018

J. Math. Pures Appl. (9) 86, No. 4, 310-321 (2006).

Reviewer: Akira Tsutsumi (Suita)

MSC: 35H10 35J15 35B65 35J70 47D06 47N20 46B70

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Athreya, Siva R.; Bass, Richard F.; Gordina, Maria; Perkins, Edwin A.

Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. (English) Zbl 1089.60037

Stochastic Processes Appl. 116, No. 3, 381-406 (2006).

Reviewer: Alexandr B. Vasil’ev (Odessa)

MSC: 60H10 35R15 60H30 60H15

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Lorenzi, Luca

Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in \(\mathbb R^N\). (English) Zbl 1107.35071

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 2, 255-293 (2005).

Reviewer: Dian K. Palagachev (Bari)

MSC: 35K65 35B65 47D06 35B45

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Avalos, George; Lasiecka, Irena

The null controllability of thermoelastic plates and singularity of the associated minimal energy function. (English) Zbl 1054.74032

J. Math. Anal. Appl. 294, No. 1, 34-61 (2004).

Reviewer: Gheorghe Aniculăesei (Iaşi)

MSC: 74M05 74K20 93C20 74F05 93B05

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Lasiecka, Irena; Avalos, George

Optimal blowup rates for the minimal energy null control of the strongly damped abstract wave equation. (English) Zbl 1170.35470

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 3, 601-616 (2003).

MSC: 35L05 93C10

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Pascucci, Andrea; Polidoro, Sergio

A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations. (English) Zbl 1026.35056

J. Math. Anal. Appl. 282, No. 1, 396-409 (2003).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35K70 35A08 35K55

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Metafune, G.; Pallara, D.; Priola, E.

Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures. (English) Zbl 1027.47036

J. Funct. Anal. 196, No. 1, 40-60 (2002).

Reviewer: Wilfried Hazod (Dortmund)

MSC: 47D07

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Backlinks: MO

Metafune, Giorgio

\(L^p\)-spectrum of Ornstein-Uhlenbeck operators. (English) Zbl 1065.35216

Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 30, No. 1, 97-124 (2001).

Reviewer: Michael Grinfeld (Glasgow)

MSC: 35P05 35J70 35K65 47F05 60J60

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Full Text: Numdam EuDML

Citti, Giovanna; Pascucci, Andrea; Polidoro, Sergio

Regularity properties of viscosity solutions of a non-Hörmander degenerate equation. (English) Zbl 1026.35024

J. Math. Pures Appl., IX. Sér. 80, No. 9, 901-918 (2001).

Reviewer: Maria Alessandra Ragusa (Catania)

MSC: 35D10 35K55 35B65 35A05

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Found 75 Documents (Results 1–75)

About the regularity of degenerate non-local Kolmogorov operators under diffusive perturbations. (English) Zbl 07920792

Intrinsic Taylor formula for non-homogeneous Kolmogorov-type Lie groups. (English) Zbl 07920790

Schauder estimates for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and Hölder continuous in space. (English) Zbl 07920788

Schauder estimates for stationary and evolution equations associated to stochastic reaction-diffusion equations driven by colored noise. (English) Zbl 1543.35280

KFP operators with coefficients measurable in time and Dini continuous in space. (English) Zbl 1537.35217

Cauchy problem of stochastic kinetic equations. (English) Zbl 1537.60088

Weak and renormalized solutions to a hypoelliptic mean field games system. (English) Zbl 07825627

Approximation and interpolation in Kolmogorov-type groups. (English) Zbl 1534.35255

Regularity results for Kolmogorov equations based on a blow-up argument. (English) Zbl 1534.35058

Schauder estimates for Kolmogorov-Fokker-Planck operators with coefficients measurable in time and Hölder continuous in space. (English) Zbl 1531.35094

\(C^\alpha\) regularity of weak solutions of non-homogeneous ultraparabolic equations with drift terms. (English) Zbl 1532.35283

Optimal regularity for degenerate Kolmogorov equations in non-divergence form with rough-in-time coefficients. (English) Zbl 1528.35075

Schauder regularity results in separable Hilbert spaces. (English) Zbl 1518.35702

On exponential splitting methods for semilinear abstract Cauchy problems. (English) Zbl 1520.47120

On the fundamental solution for degenerate Kolmogorov equations with rough coefficients. (English) Zbl 1517.35128

Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients. (English) Zbl 1538.60093

Time regularity for generalized Mehler semigroups. (English) Zbl 1540.47062

Total variation distance between two diffusions in small time with unbounded drift: application to the Euler-Maruyama scheme. (English) Zbl 1517.65006

On the domain of non-symmetric and, possibly, degenerate Ornstein-Uhlenbeck operators in separable Banach spaces. (English) Zbl 1518.28011

Poisson process and sharp constants in \(L^p\) and Schauder estimates for a class of degenerate Kolmogorov operators. (English) Zbl 1498.35121

Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups. (English) Zbl 1496.35019

Intrinsic fractional Taylor formula. (English) Zbl 1487.35230

Schauder type estimates for degenerate Kolmogorov equations with Dini continuous coefficients. (English) Zbl 1487.35136

Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates. (English) Zbl 07504662

Pointwise estimates for degenerate Kolmogorov equations with \(L^p\)-source term. (English) Zbl 1487.35134

On stochastic Langevin and Fokker-Planck equations: the two-dimensional case. (English) Zbl 1480.35415

Kinetic maximal \(L^p\)-regularity with temporal weights and application to quasilinear kinetic diffusion equations. (English) Zbl 1478.35066

The Schauder estimate in kinetic theory with application to a toy nonlinear model. (L’estimation de Schauder en théorie cinétique et son application à un modèle jouet nonlinéaire.) (English. French summary) Zbl 1484.35093

Kinetic maximal \(L^2\)-regularity for the (fractional) Kolmogorov equation. (English) Zbl 1480.35084

A class of nonlocal hypoelliptic operators and their extensions. (English) Zbl 1487.35195

Schauder theorems for a class of (pseudo-)differential operators on finite- and infinite-dimensional state spaces. (English) Zbl 1478.35065

Quadratic differential equations: partial Gelfand-Shilov smoothing effect and null-controllability. (English) Zbl 1476.35074

Sharp Schauder estimates for some degenerate Kolmogorov equations. (English) Zbl 1476.35061

The Schauder estimate for kinetic integral equations. (English) Zbl 1467.35069

Weak error for the Euler scheme approximation of degenerate diffusions with nonsmooth coefficients. (English. Russian original) Zbl 1465.60072

Schauder estimates for degenerate Lévy Ornstein-Uhlenbeck operators. (English) Zbl 1462.35428

\(L^p\)-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators. (English) Zbl 1454.35239

Fundamental solutions for Kolmogorov-Fokker-Planck operators with time-depending measurable coefficients. (English) Zbl 1490.35495

Regularity for the Boltzmann equation conditional to macroscopic bounds. (English) Zbl 1459.35307

Smoothing properties of fractional Ornstein-Uhlenbeck semigroups and null-controllability. (English) Zbl 1454.93024

Schauder estimates for degenerate stable Kolmogorov equations. (English) Zbl 1439.35294

Schauder estimates for nonlocal kinetic equations and applications. (English. French summary) Zbl 1448.35318

Functional inequalities for a class of nonlocal hypoelliptic equations of Hörmander type. (English) Zbl 1439.35139

Propagation of regularity in \(L^p\)-spaces for Kolmogorov-type hypoelliptic operators. (English) Zbl 1430.42027

Schauder estimates at the boundary for sub-Laplacians in Carnot groups. (English) Zbl 1423.35377

A geometric statement of the Harnack inequality for a degenerate Kolmogorov equation with rough coefficients. (English) Zbl 1423.35086

Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension. (English) Zbl 1422.35183

Nonuniqueness for the kinetic Fokker-Planck equation with inelastic boundary conditions. (English) Zbl 1408.35190

On the structure of the singular set for the kinetic Fokker-Planck equations in domains with boundaries. (English) Zbl 1404.35446

Nash estimates and upper bounds for non-homogeneous Kolmogorov equations. (English) Zbl 1383.35105

Stochastic optimal control with delay in the control. I: Solving the HJB equation through partial smoothing. (English) Zbl 1375.93140

Intrinsic expansions for averaged diffusion processes. (English) Zbl 1373.60137

On the Hopf-Oleinik lemma for degenerate-elliptic equations at characteristic points. (English) Zbl 1356.35116

Intrinsic Taylor formula for Kolmogorov-type homogeneous groups. (English) Zbl 1330.22017

The role of fundamental solution in potential and regularity theory for subelliptic PDE. (English) Zbl 1338.35010

On weak uniqueness for some degenerate SDEs by global \(L^p\) estimates. (English) Zbl 1306.60077

Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators with variable coefficients. (English) Zbl 1294.35008

Matrix-exponential groups and Kolmogorov-Fokker-Planck equations. (English) Zbl 1257.47044

Kalman-Bucy filter and SPDEs with growing lower-order coefficients in \(W_{p}^{1}\) spaces without weights. (English) Zbl 1260.60122

Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators. (English) Zbl 1206.35051

Schauder estimates for sub-elliptic equations. (English) Zbl 1239.35039

The \(C^{\alpha}\) regularity of a class of non-homogeneous ultraparabolic equations. (English) Zbl 1181.35139

Pointwise local estimates and Gaussian upper bounds for a class of uniformly subelliptic ultraparabolic operators. (English) Zbl 1152.35062

Pointwise estimates for a class of non-homogeneous Kolmogorov equations. (English) Zbl 1162.35015

Schauder estimates for parabolic equation of bi-harmonic type. (English) Zbl 1231.35092

On a class of degenerate elliptic operators in \(L^{1}\) spaces with respect to invariant measures. (English) Zbl 1132.47039

Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures. (English) Zbl 1117.35018

Infinite dimensional stochastic differential equations of Ornstein-Uhlenbeck type. (English) Zbl 1089.60037

Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in \(\mathbb R^N\). (English) Zbl 1107.35071

The null controllability of thermoelastic plates and singularity of the associated minimal energy function. (English) Zbl 1054.74032

Optimal blowup rates for the minimal energy null control of the strongly damped abstract wave equation. (English) Zbl 1170.35470

A Gaussian upper bound for the fundamental solutions of a class of ultraparabolic equations. (English) Zbl 1026.35056

Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures. (English) Zbl 1027.47036

\(L^p\)-spectrum of Ornstein-Uhlenbeck operators. (English) Zbl 1065.35216