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Cerrai, Sandra

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Author ID: cerrai.sandra Recent zbMATH articles by "Cerrai, Sandra"
Published as: Cerrai, S.; Cerrai, Sandra
Documents Indexed: 56 Publications since 1994, including 1 Book

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 675 times in 419 Documents Cited by Year
Second order PDE’s in finite and infinite dimension. Zbl 0983.60004
Cerrai, Sandra
124
2001
Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1054.60065
Cerrai, Sandra; Röckner, Michael
64
2004
Averaging principle for a class of stochastic reaction-diffusion equations. Zbl 1176.60049
Cerrai, Sandra; Freidlin, Mark
55
2009
A Khasminskii type averaging principle for stochastic reaction-diffusion equations. Zbl 1191.60076
Cerrai, Sandra
52
2009
Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1027.60064
Cerrai, Sandra
43
2003
A Hille-Yosida theorem for weakly continuous semigroups. Zbl 0817.47048
Cerrai, Sandra
41
1994
Averaging principle for systems of reaction-diffusion equations with polynomial nonlinearities perturbed by multiplicative noise. Zbl 1239.60055
Cerrai, Sandra
24
2011
On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom. Zbl 1093.60036
Cerrai, Sandra; Freidlin, Mark
20
2006
Smoluchowski-Kramers approximation for a general class of SPDEs. Zbl 1119.35127
Cerrai, Sandra; Freidlin, Mark
16
2006
Strong solutions of Cauchy problems associated to weakly continuous semigroups. Zbl 0822.47040
Cerrai, Sandra; Gozzi, Fausto
16
1995
On a class of degenerate elliptic operators arising from Fleming-Viot processes. Zbl 0994.60072
Cerrai, Sandra; Clément, Philippe
15
2001
Optimal control problems for stochastic reaction-diffusion systems with non-Lipschitz coefficients. Zbl 0987.60073
Cerrai, Sandra
12
2001
Weakly continuous semigroups in the space of functions with polynomial growth. Zbl 0830.47032
Cerrai, Sandra
11
1995
Approximation of quasi-potentials and exit problems for multidimensional RDE’s with noise. Zbl 1232.60049
Cerrai, Sandra; Freidlin, Mark
10
2011
Asymptotic behavior of systems of stochastic partial differential equations with multiplicative noise. Zbl 1093.60035
Cerrai, Sandra
10
2006
Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1066.60029
Cerrai, Sandra; Röckner, Michael
10
2005
Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise. Zbl 1325.60101
Brzeźniak, Z.; Cerrai, S.; Freidlin, M.
9
2015
Smoluchowski-Kramers approximation and large deviations for infinite dimensional gradient systems. Zbl 1322.60104
Cerrai, Sandra; Salins, Michael
9
2014
Smoluchowski-Kramers approximation and large deviations for infinite-dimensional nongradient systems with applications to the exit problem. Zbl 1350.60054
Cerrai, Sandra; Salins, Michael
8
2016
Small mass asymptotics for a charged particle in a magnetic field and long-time influence of small perturbations. Zbl 1225.82045
Cerrai, Sandra; Freidlin, Mark
8
2011
Stationary Hamilton-Jacobi equations in Hilbert spaces and applications to a stochastic optimal control problem. Zbl 0992.60066
Cerrai, Sandra
8
2001
Smoothing properties of transition semigroups relative to SDEs with values in Banach spaces. Zbl 0920.60061
Cerrai, Sandra
8
1999
Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102
Cerrai, Sandra; Lunardi, Alessandra
7
2017
Normal deviations from the averaged motion for some reaction-diffusion equations with fast oscillating perturbation. Zbl 1174.60034
Cerrai, Sandra
7
2009
Schauder estimates for a degenerate second order elliptic operator on a cube. Zbl 1138.35027
Cerrai, Sandra; Clément, Philippe
7
2007
Stabilization by noise for a class of stochastic reaction-diffusion equations. Zbl 1077.60046
Cerrai, Sandra
7
2005
Differentiability of Markov semigroups for stochastic reaction-diffusion equations and applications to control. Zbl 0996.60072
Cerrai, Sandra
7
1999
Fast transport asymptotics for stochastic RDEs with boundary noise. Zbl 1210.60065
Cerrai, Sandra; Freidlin, Mark
6
2011
Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations. Zbl 1064.60171
Cerrai, Sandra; Clément, Philippe
6
2004
Elliptic and parabolic equations in \(\mathbb{R} ^ n\) with coefficients having polynomial growth. Zbl 0851.35049
Cerrai, Sandra
6
1996
On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field. Zbl 1373.60107
Cerrai, Sandra; Salins, Michael
5
2017
Large deviations for the Langevin equation with strong damping. Zbl 1329.82093
Cerrai, Sandra; Freidlin, Mark
5
2015
Schauder estimates for a class of second order elliptic operators on a cube. Zbl 1039.35023
Cerrai, Sandra; Clément, Philippe
5
2005
On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior. Zbl 1355.60083
Cerrai, Sandra; Freidlin, Mark; Salins, Michael
4
2017
Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations. Zbl 1245.35155
Cerrai, Sandra; Da Prato, Giuseppe
4
2012
Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation. Zbl 1418.60069
Cerrai, Sandra; Debussche, Arnaud
3
2019
Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations on a torus. Zbl 1401.60043
Brzeźniak, Z.; Cerrai, S.
3
2017
A basic identity for Kolmogorov operators in the space of continuous functions related to RDEs with multiplicative noise. Zbl 1318.60068
Cerrai, Sandra; Da Prato, Giuseppe
3
2014
Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component. Zbl 1304.60071
Cerrai, Sandra; Da Prato, Giuseppe; Flandoli, Franco
3
2013
Ergodicity for stochastic reaction-diffusion systems with polynomial coefficients. Zbl 0935.60049
Cerrai, Sandra
3
1999
Some results for second order elliptic operators having unbounded coefficients. Zbl 1131.35393
Cerrai, Sandra
3
1998
Large deviations for invariant measures of general stochastic reaction-diffusion systems. Zbl 1031.60022
Cerrai, Sandra; Röckner, Michael
2
2003
Large deviations for fast transport stochastic RDEs with applications to the exit problem. Zbl 1447.35188
Cerrai, Sandra; Paskal, Nicholas
1
2019
SPDEs on narrow domains and on graphs: an asymptotic approach. Zbl 1367.60078
Cerrai, Sandra; Freidlin, Mark
1
2017
Analytic semigroups and degenerate elliptic operators with unbounded coefficients: A probabilistic approach. Zbl 0957.35053
Cerrai, Sandra
1
2000
Kolmogorov equations in Hilbert spaces with non smooth coefficients. Zbl 0897.60067
Cerrai, S.
1
1998
Differentiability with respect to initial datum for solutions of SPDE’s with no Fréchet differentiable drift term. Zbl 0897.60068
Cerrai, S.
1
1998
Invariant measures for a class of SDE’s with drift term having polynomial growth. Zbl 0859.60056
Cerrai, Sandra
1
1996
Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation. Zbl 1418.60069
Cerrai, Sandra; Debussche, Arnaud
3
2019
Large deviations for fast transport stochastic RDEs with applications to the exit problem. Zbl 1447.35188
Cerrai, Sandra; Paskal, Nicholas
1
2019
Averaging principle for nonautonomous slow-fast systems of stochastic reaction-diffusion equations: the almost periodic case. Zbl 1370.60102
Cerrai, Sandra; Lunardi, Alessandra
7
2017
On the Smoluchowski-Kramers approximation for a system with infinite degrees of freedom exposed to a magnetic field. Zbl 1373.60107
Cerrai, Sandra; Salins, Michael
5
2017
On the Smoluchowski-Kramers approximation for SPDEs and its interplay with large deviations and long time behavior. Zbl 1355.60083
Cerrai, Sandra; Freidlin, Mark; Salins, Michael
4
2017
Large deviations principle for the invariant measures of the 2D stochastic Navier-Stokes equations on a torus. Zbl 1401.60043
Brzeźniak, Z.; Cerrai, S.
3
2017
SPDEs on narrow domains and on graphs: an asymptotic approach. Zbl 1367.60078
Cerrai, Sandra; Freidlin, Mark
1
2017
Smoluchowski-Kramers approximation and large deviations for infinite-dimensional nongradient systems with applications to the exit problem. Zbl 1350.60054
Cerrai, Sandra; Salins, Michael
8
2016
Quasipotential and exit time for 2D stochastic Navier-Stokes equations driven by space time white noise. Zbl 1325.60101
Brzeźniak, Z.; Cerrai, S.; Freidlin, M.
9
2015
Large deviations for the Langevin equation with strong damping. Zbl 1329.82093
Cerrai, Sandra; Freidlin, Mark
5
2015
Smoluchowski-Kramers approximation and large deviations for infinite dimensional gradient systems. Zbl 1322.60104
Cerrai, Sandra; Salins, Michael
9
2014
A basic identity for Kolmogorov operators in the space of continuous functions related to RDEs with multiplicative noise. Zbl 1318.60068
Cerrai, Sandra; Da Prato, Giuseppe
3
2014
Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component. Zbl 1304.60071
Cerrai, Sandra; Da Prato, Giuseppe; Flandoli, Franco
3
2013
Schauder estimates for elliptic equations in Banach spaces associated with stochastic reaction-diffusion equations. Zbl 1245.35155
Cerrai, Sandra; Da Prato, Giuseppe
4
2012
Averaging principle for systems of reaction-diffusion equations with polynomial nonlinearities perturbed by multiplicative noise. Zbl 1239.60055
Cerrai, Sandra
24
2011
Approximation of quasi-potentials and exit problems for multidimensional RDE’s with noise. Zbl 1232.60049
Cerrai, Sandra; Freidlin, Mark
10
2011
Small mass asymptotics for a charged particle in a magnetic field and long-time influence of small perturbations. Zbl 1225.82045
Cerrai, Sandra; Freidlin, Mark
8
2011
Fast transport asymptotics for stochastic RDEs with boundary noise. Zbl 1210.60065
Cerrai, Sandra; Freidlin, Mark
6
2011
Averaging principle for a class of stochastic reaction-diffusion equations. Zbl 1176.60049
Cerrai, Sandra; Freidlin, Mark
55
2009
A Khasminskii type averaging principle for stochastic reaction-diffusion equations. Zbl 1191.60076
Cerrai, Sandra
52
2009
Normal deviations from the averaged motion for some reaction-diffusion equations with fast oscillating perturbation. Zbl 1174.60034
Cerrai, Sandra
7
2009
Schauder estimates for a degenerate second order elliptic operator on a cube. Zbl 1138.35027
Cerrai, Sandra; Clément, Philippe
7
2007
On the Smoluchowski-Kramers approximation for a system with an infinite number of degrees of freedom. Zbl 1093.60036
Cerrai, Sandra; Freidlin, Mark
20
2006
Smoluchowski-Kramers approximation for a general class of SPDEs. Zbl 1119.35127
Cerrai, Sandra; Freidlin, Mark
16
2006
Asymptotic behavior of systems of stochastic partial differential equations with multiplicative noise. Zbl 1093.60035
Cerrai, Sandra
10
2006
Large deviations for invariant measures of stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1066.60029
Cerrai, Sandra; Röckner, Michael
10
2005
Stabilization by noise for a class of stochastic reaction-diffusion equations. Zbl 1077.60046
Cerrai, Sandra
7
2005
Schauder estimates for a class of second order elliptic operators on a cube. Zbl 1039.35023
Cerrai, Sandra; Clément, Philippe
5
2005
Large deviations for stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1054.60065
Cerrai, Sandra; Röckner, Michael
64
2004
Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations. Zbl 1064.60171
Cerrai, Sandra; Clément, Philippe
6
2004
Stochastic reaction-diffusion systems with multiplicative noise and non-Lipschitz reaction term. Zbl 1027.60064
Cerrai, Sandra
43
2003
Large deviations for invariant measures of general stochastic reaction-diffusion systems. Zbl 1031.60022
Cerrai, Sandra; Röckner, Michael
2
2003
Second order PDE’s in finite and infinite dimension. Zbl 0983.60004
Cerrai, Sandra
124
2001
On a class of degenerate elliptic operators arising from Fleming-Viot processes. Zbl 0994.60072
Cerrai, Sandra; Clément, Philippe
15
2001
Optimal control problems for stochastic reaction-diffusion systems with non-Lipschitz coefficients. Zbl 0987.60073
Cerrai, Sandra
12
2001
Stationary Hamilton-Jacobi equations in Hilbert spaces and applications to a stochastic optimal control problem. Zbl 0992.60066
Cerrai, Sandra
8
2001
Analytic semigroups and degenerate elliptic operators with unbounded coefficients: A probabilistic approach. Zbl 0957.35053
Cerrai, Sandra
1
2000
Smoothing properties of transition semigroups relative to SDEs with values in Banach spaces. Zbl 0920.60061
Cerrai, Sandra
8
1999
Differentiability of Markov semigroups for stochastic reaction-diffusion equations and applications to control. Zbl 0996.60072
Cerrai, Sandra
7
1999
Ergodicity for stochastic reaction-diffusion systems with polynomial coefficients. Zbl 0935.60049
Cerrai, Sandra
3
1999
Some results for second order elliptic operators having unbounded coefficients. Zbl 1131.35393
Cerrai, Sandra
3
1998
Kolmogorov equations in Hilbert spaces with non smooth coefficients. Zbl 0897.60067
Cerrai, S.
1
1998
Differentiability with respect to initial datum for solutions of SPDE’s with no Fréchet differentiable drift term. Zbl 0897.60068
Cerrai, S.
1
1998
Elliptic and parabolic equations in \(\mathbb{R} ^ n\) with coefficients having polynomial growth. Zbl 0851.35049
Cerrai, Sandra
6
1996
Invariant measures for a class of SDE’s with drift term having polynomial growth. Zbl 0859.60056
Cerrai, Sandra
1
1996
Strong solutions of Cauchy problems associated to weakly continuous semigroups. Zbl 0822.47040
Cerrai, Sandra; Gozzi, Fausto
16
1995
Weakly continuous semigroups in the space of functions with polynomial growth. Zbl 0830.47032
Cerrai, Sandra
11
1995
A Hille-Yosida theorem for weakly continuous semigroups. Zbl 0817.47048
Cerrai, Sandra
41
1994
all top 5

Cited by 462 Authors

30 Cerrai, Sandra
22 Da Prato, Giuseppe
20 Röckner, Michael
20 Zhang, Tusheng S.
14 Zhai, Jianliang
10 Lunardi, Alessandra
9 Priola, Enrico
7 Albanese, Angela Anna
7 Duan, Jinqiao
7 Freidlin, Mark I.
7 Goldys, Beniamin
7 Liu, Jicheng
7 Lorenzi, Luca
7 Lv, Yan
7 Wang, Wei
7 Yin, George Gang
6 Flandoli, Franco
6 Fu, Hongbo
6 Gao, Peng
6 Gozzi, Fausto
6 Hairer, Martin
6 Mangino, Elisabetta M.
6 Marinelli, Carlo
6 Masiero, Federica
6 Russo, Francesco
6 Salins, Michael
6 Xu, Yong
5 Albeverio, Sergio A.
5 Blömker, Dirk
5 Debussche, Arnaud
5 Dong, Zhao
5 Es-Sarhir, Abdelhadi
5 Mohammed, Wael W.
5 Pei, Bin
5 Roberts, Anthony John
5 Stannat, Wilhelm
5 Sun, Xiaobin
5 Wang, Ran
5 Zambotti, Lorenzo
4 Al-Hussein, Abdulrahman
4 Bréhier, Charles-Edouard
4 Brzeźniak, Zdzisław
4 Farkas, Bálint
4 Kim, Jeong-Hoon
4 Kunze, Markus Christian
4 Liu, Wei
4 Maslowski, Bohdan
4 Metafune, Giorgio
4 Nguyen, Nhu N.
4 Tubaro, Luciano
4 Wan, Li
4 Xie, Yingchao
4 Xu, Jie
4 Yang, Desheng
4 Zhang, Xicheng
3 Altomare, Francesco
3 Barbu, Viorel
3 Bo, Lijun
3 Clément, Philippe J. E.
3 Federico, Salvatore
3 Högele, Michael Anton
3 Jentzen, Arnulf
3 Leonessa, Vita
3 Li, Ruinan
3 Manca, Luigi
3 Mastrogiacomo, Elisa
3 Miao, Yu
3 Millet, Annie
3 Orrieri, Carlo
3 Pavlyukevich, Ilya
3 Pop, Camelia Alexandra
3 Ren, Jiagang
3 Scarpa, Luca
3 van Neerven, Jan M. A. M.
3 Wang, Feng-Yu
3 Wu, Jing
3 Wu, Liming
3 Xie, Longjie
3 Xu, Tiange
3 Xu, Wei
3 Xu, Wenjing
3 Zabczyk, Jerzy
2 Addona, Davide
2 Angiuli, Luciana
2 Bertini, Lorenzo Bertini
2 Bessaih, Hakima
2 Bou-Rabee, Nawaf M.
2 Bounebache, Said Karim
2 Budhiraja, Amarjit S.
2 Buttà, Paolo
2 Cannarsa, Piermarco
2 Cappelletti Montano, Mirella
2 Cheng, Lingyan
2 Choi, Sun-Yong
2 Chueshov, Igor’ Dmitrievich
2 Cosso, Andrea
2 da Costa, Paulo Henrique P.
2 Dalang, Robert C.
2 Di Girolami, Cristina
2 Di Persio, Luca
...and 362 more Authors
all top 5

Cited in 116 Serials

35 Journal of Differential Equations
29 Stochastic Processes and their Applications
20 Journal of Functional Analysis
19 The Annals of Probability
17 Journal of Mathematical Analysis and Applications
17 Stochastic Analysis and Applications
12 Journal of Evolution Equations
11 Journal of Statistical Physics
11 Transactions of the American Mathematical Society
11 Potential Analysis
10 Applied Mathematics and Optimization
10 Stochastics and Dynamics
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Probability Theory and Related Fields
6 Journal of Mathematical Physics
6 Journal of Theoretical Probability
6 The Annals of Applied Probability
6 Discrete and Continuous Dynamical Systems
5 SIAM Journal on Control and Optimization
5 Applied Mathematics Letters
5 Discrete and Continuous Dynamical Systems. Series B
5 Advances in Difference Equations
4 Communications in Mathematical Physics
4 Journal of Computational Physics
4 SIAM Journal on Mathematical Analysis
4 Bulletin des Sciences Mathématiques
4 Stochastic and Partial Differential Equations. Analysis and Computations
3 Communications on Pure and Applied Mathematics
3 Czechoslovak Mathematical Journal
3 Memoirs of the American Mathematical Society
3 Semigroup Forum
3 Communications in Partial Differential Equations
3 NoDEA. Nonlinear Differential Equations and Applications
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Infinite Dimensional Analysis, Quantum Probability and Related Topics
3 Chaos
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Communications on Pure and Applied Analysis
3 Nonlinear Analysis. Hybrid Systems
2 Archive for Rational Mechanics and Analysis
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Journal of Applied Probability
2 Proceedings of the American Mathematical Society
2 Statistics & Probability Letters
2 Acta Applicandae Mathematicae
2 Physica D
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of Mathematical Sciences (New York)
2 Random Operators and Stochastic Equations
2 Complexity
2 Electronic Journal of Probability
2 Bernoulli
2 Abstract and Applied Analysis
2 Fractional Calculus & Applied Analysis
2 SIAM Journal on Applied Dynamical Systems
2 Stochastics
2 Frontiers of Mathematics in China
1 American Mathematical Monthly
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Methods in the Applied Sciences
1 Metrika
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 BIT
1 Duke Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Computational and Applied Mathematics
1 Journal of Multivariate Analysis
1 Osaka Journal of Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 Journal of Applied Mathematics and Stochastic Analysis
1 The Journal of Geometric Analysis
1 Applications of Mathematics
1 SIAM Review
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Stochastics and Stochastics Reports
1 International Journal of Robust and Nonlinear Control
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 SIAM Journal on Scientific Computing
1 Calculus of Variations and Partial Differential Equations
1 Computational and Applied Mathematics
1 Advances in Computational Mathematics
1 Finance and Stochastics
1 European Journal of Control
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Journal of Inequalities and Applications
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Acta Mathematica Sinica. English Series
1 Annales Henri Poincaré
1 Brazilian Journal of Probability and Statistics
...and 16 more Serials

Citations by Year