# zbMATH — the first resource for mathematics

## Olivera, Christian

Compute Distance To:
 Author ID: olivera.christian Published as: Olivera, C.; Olivera, Ch.; Olivera, Christian External Links: MGP
 Documents Indexed: 38 Publications since 2007, including 1 Book
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#### Co-Authors

 9 single-authored 11 Catuogno, Pedro José 5 Tudor, Ciprian A. 3 Colombeau, Jean-François 3 Flandoli, Franco 3 Mollinedo, David A. C. 3 Neves, Wladimir 2 Aragona, Jorge 2 Clarke, Jorge 2 Ferrario, Benedetta 2 Juriaans, Stanley Orlando 2 Molina, Sandra Monica 2 Simon, Marielle 1 Fedrizzi, Ennio 1 Leimbach, Matti 1 Shamarova, Èvelina Yur’evna
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#### Serials

 3 Journal of Mathematical Analysis and Applications 3 Integral Transforms and Special Functions 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Applicable Analysis 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Bulletin of the Brazilian Mathematical Society. New Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Results in Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Brazilian Journal of Probability and Statistics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Analysis and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 AIMS Mathematics 1 Publicações Matemáticas do IMPA
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#### Fields

 30 Probability theory and stochastic processes (60-XX) 19 Partial differential equations (35-XX) 12 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 2 Operator theory (47-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

20 Publications have been cited 73 times in 45 Documents Cited by Year
Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition. Zbl 1325.60111
Neves, Wladimir; Olivera, Christian
2015
Hermite expansions and products of tempered distributions. Zbl 1124.46021
Catuogno, Pedro; Molina, Sandra; Olivera, Christian
2007
Strong solution of the stochastic Burgers equation. Zbl 1301.60070
Catuogno, P.; Olivera, C.
2014
$$L^p$$-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
2013
On stochastic generalized functions. Zbl 1236.46039
Catuogno, Pedro; Olivera, Christian
2011
Tempered generalized functions and Hermite expansions. Zbl 1226.46039
Catuogno, Pedro; Olivera, Christian
2011
Stochastic continuity equation with nonsmooth velocity. Zbl 1372.60093
Mollinedo, David A. C.; Olivera, Christian
2017
Uniform convergence of proliferating particles to the FKPP equation. Zbl 1433.60089
Flandoli, Franco; Leimbach, Matti; Olivera, Christian
2019
The density of the solution to the stochastic transport equation with fractional noise. Zbl 1317.60080
Olivera, Christian; Tudor, Ciprian A.
2015
On a class of stochastic transport equations for $$L^2_{\mathrm{loc}}$$ vector fields. Zbl 1391.60157
Fedrizzi, Ennio; Neves, Wladimir; Olivera, Christian
2018
Stochastic continuity equations – a general uniqueness result. Zbl 1356.60104
Neves, Wladimir; Olivera, Christian
2016
Well-posedness of first order semilinear PDEs by stochastic perturbation. Zbl 1295.60076
Olivera, Christian
2014
Local $$L^p$$-solution for semilinear heat equation with fractional noise. Zbl 1437.60036
Clarke, Jorge; Olivera, Christian
2020
Density for solutions to stochastic differential equations with unbounded drift. Zbl 1427.60109
Olivera, Christian; Tudor, Ciprian
2019
Regularization by noise in one-dimensional continuity equation. Zbl 1447.60119
Olivera, Christian
2019
$$L^p$$-solutions of the Navier-Stokes equation with fractional Brownian noise. Zbl 1426.60086
Ferrario, Benedetta; Olivera, Christian
2018
Non-local conservation law from stochastic particle systems. Zbl 1427.60139
Simon, Marielle; Olivera, Christian
2018
Well-posedness of the vector advection equations by stochastic perturbation. Zbl 1394.60068
Flandoli, Franco; Olivera, Christian
2018
Well-posedness of the stochastic transport equation with unbounded drift. Zbl 1386.60223
Mollinedo, David A. C.; Olivera, Christian
2017
Stochastic integration with respect to the cylindrical Wiener process via regularization. Zbl 1284.60112
Olivera, Christian
2013
Local $$L^p$$-solution for semilinear heat equation with fractional noise. Zbl 1437.60036
Clarke, Jorge; Olivera, Christian
2020
Uniform convergence of proliferating particles to the FKPP equation. Zbl 1433.60089
Flandoli, Franco; Leimbach, Matti; Olivera, Christian
2019
Density for solutions to stochastic differential equations with unbounded drift. Zbl 1427.60109
Olivera, Christian; Tudor, Ciprian
2019
Regularization by noise in one-dimensional continuity equation. Zbl 1447.60119
Olivera, Christian
2019
On a class of stochastic transport equations for $$L^2_{\mathrm{loc}}$$ vector fields. Zbl 1391.60157
Fedrizzi, Ennio; Neves, Wladimir; Olivera, Christian
2018
$$L^p$$-solutions of the Navier-Stokes equation with fractional Brownian noise. Zbl 1426.60086
Ferrario, Benedetta; Olivera, Christian
2018
Non-local conservation law from stochastic particle systems. Zbl 1427.60139
Simon, Marielle; Olivera, Christian
2018
Well-posedness of the vector advection equations by stochastic perturbation. Zbl 1394.60068
Flandoli, Franco; Olivera, Christian
2018
Stochastic continuity equation with nonsmooth velocity. Zbl 1372.60093
Mollinedo, David A. C.; Olivera, Christian
2017
Well-posedness of the stochastic transport equation with unbounded drift. Zbl 1386.60223
Mollinedo, David A. C.; Olivera, Christian
2017
Stochastic continuity equations – a general uniqueness result. Zbl 1356.60104
Neves, Wladimir; Olivera, Christian
2016
Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition. Zbl 1325.60111
Neves, Wladimir; Olivera, Christian
2015
The density of the solution to the stochastic transport equation with fractional noise. Zbl 1317.60080
Olivera, Christian; Tudor, Ciprian A.
2015
Strong solution of the stochastic Burgers equation. Zbl 1301.60070
Catuogno, P.; Olivera, C.
2014
Well-posedness of first order semilinear PDEs by stochastic perturbation. Zbl 1295.60076
Olivera, Christian
2014
$$L^p$$-solutions of the stochastic transport equation. Zbl 1270.60070
Catuogno, Pedro; Olivera, Christian
2013
Stochastic integration with respect to the cylindrical Wiener process via regularization. Zbl 1284.60112
Olivera, Christian
2013
On stochastic generalized functions. Zbl 1236.46039
Catuogno, Pedro; Olivera, Christian
2011
Tempered generalized functions and Hermite expansions. Zbl 1226.46039
Catuogno, Pedro; Olivera, Christian
2011
Hermite expansions and products of tempered distributions. Zbl 1124.46021
Catuogno, Pedro; Molina, Sandra; Olivera, Christian
2007
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#### Cited by 62 Authors

 19 Olivera, Christian 7 Catuogno, Pedro José 5 Flandoli, Franco 4 Mollinedo, David A. C. 3 Neves, Wladimir 3 Tudor, Ciprian A. 3 Wei, Jinlong 2 Hoel, Hakon A. 2 Karlsen, Kenneth Hvistendahl 2 Liu, Bin 2 Risebro, Nils Henrik 2 Storrøsten, Erlend Briseid 1 Abadias, Luciano 1 Alonso-Orán, Diego 1 Bethencourt de León, Aythami 1 Bianchi, Luigi Amedeo 1 Clarke, Jorge 1 Colombeau, Jean-François 1 Nguyen Tien Dung 1 Flores, Stephanie 1 Gess, Benjamin 1 Grosser, M. 1 Gubinelli, Massimiliano 1 Hight, Elijah 1 Kneuss, Olivier 1 Leocata, Marta 1 Levajković, Tijana 1 Lim, Tau Shean 1 Lu, Yulong 1 Majdoub, Mohamed 1 Maurelli, Mario 1 Miana, Pedro J. 1 Mliki, Ezzedine 1 Molina, Sandra Monica 1 Neklyudov, Mikhail 1 Nigsch, Eduard Albert 1 Nolen, James H. 1 Nouri, Kazem 1 Olivares-Vargas, Everardo 1 Oraby, Tamer F. 1 Palacio, Jose 1 Perkowski, Nicolas 1 Pilipović, Stevan 1 Pronk, Matthijs 1 Ranjbar, Hassan 1 Sapountzoglou, Niklas 1 Seleši, Dora 1 Shen, Chun 1 Simon, Marielle 1 Smith, Scott A. 1 Suazo, Erwin 1 Sun, Meina 1 Taguchi, Dai 1 Takao, So 1 Tanaka, Akihiro 1 Tang, Yanbin 1 Tian, Rongrong 1 Torkzadeh, Leila 1 Veraar, Mark C. 1 Yoon, Jasang 1 Zeng, Zirong 1 Zimmermann, Alexandra
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#### Cited in 31 Serials

 6 Journal of Mathematical Analysis and Applications 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Applicable Analysis 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Mathematical Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Integral Transforms and Special Functions 2 Bulletin of the Brazilian Mathematical Society. New Series 1 Communications in Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Applied Probability 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Stochastic Analysis and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Potential Analysis 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Communications in Nonlinear Science and Numerical Simulation 1 Brazilian Journal of Probability and Statistics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Milan Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Mathematical Physics 1 Stochastic and Partial Differential Equations. Analysis and Computations
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#### Cited in 18 Fields

 39 Probability theory and stochastic processes (60-XX) 27 Partial differential equations (35-XX) 9 Functional analysis (46-XX) 5 Fluid mechanics (76-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)