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## Briani, Ariela

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 Author ID: briani.ariela Published as: Briani, Ariela; Briani, A. External Links: MGP
 Documents Indexed: 25 Publications since 1996
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#### Co-Authors

 4 single-authored 6 Barles, Guy 5 Chasseigne, Emmanuel 3 Zidani, Hasnaa 2 Monneau, Régis 2 Prinari, Francesca 2 Rampazzo, Franco 2 Tchou, Nicoletta Anna 1 Acquistapace, Paolo 1 Alibaud, Nathaël 1 Bokanowski, Olivier 1 Camilli, Fabio 1 Cardaliaguet, Pierre 1 Chambolle, Antonin 1 Davini, Andrea 1 Falcone, Maurizio 1 Garroni, Adriana 1 Imbert, Cyril 1 Marta, Andre C. 1 Novaga, Matteo 1 Orlandi, Giandomenico 1 Trélat, Emmanuel
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#### Serials

 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 SIAM Journal on Control and Optimization 2 Asymptotic Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Differential Equations 1 Systems & Control Letters 1 Differential and Integral Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Applied Analysis 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Journal of Nonlinear and Convex Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Confluentes Mathematici 1 Differential Equations and Applications 1 Mathematical Control and Related Fields
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#### Fields

 22 Calculus of variations and optimal control; optimization (49-XX) 17 Partial differential equations (35-XX) 3 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Ordinary differential equations (34-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 110 times in 80 Documents Cited by Year
A Bellman approach for two-domains optimal control problems in $$\mathbb{R}^N$$. Zbl 1287.49028
Barles, G.; Briani, A.; Chasseigne, E.
2013
A Bellman approach for regional optimal control problems in $$\mathbb{R}^N$$. Zbl 1297.49041
Barles, G.; Briani, A.; Chasseigne, E.
2014
Stable solutions in potential mean field game systems. Zbl 1390.35365
Briani, Ariela; Cardaliaguet, Pierre
2018
Monge solutions for discontinuous Hamiltonians. Zbl 1087.35023
Briani, Ariela; Davini, Andrea
2005
Approximation schemes for monotone systems of nonlinear second order partial differential equations: convergence result and error estimate. Zbl 1252.35021
Briani, Ariela; Camilli, Fabio; Zidani, Hasnaa
2012
On the gradient flow of a one-homogeneous functional. Zbl 1238.49015
Briani, Ariela; Chambolle, Antonin; Novaga, Matteo; Orlandi, Giandomenico
2011
Homogenization of $$L^\infty$$ functionals. Zbl 1069.49017
Briani, Ariela; Prinari, Francesca; Garroni, Adriana
2004
A density approach to Hamilton-Jacobi equations with $$t$$-measurable Hamiltonians. Zbl 1075.49012
Briani, Ariela; Rampazzo, Franco
2005
Minimum time control problems for non-autonomous differential equations. Zbl 1181.49034
Bokanowski, O.; Briani, A.; Zidani, H.
2009
Flux-limited and classical viscosity solutions for regional control problems. Zbl 1414.49032
Barles, G.; Briani, A.; Chasseigne, E.; Imbert, C.
2018
Convergence of Hamilton-Jacobi equations for sequences of optimal control problems. Zbl 1089.49501
Briani, Ariela
2000
A Hamilton-Jacobi equation with measures arising in $$\Gamma$$-convergence of optimal control problems. Zbl 1007.49015
Briani, Ariela
1999
$$\Gamma$$-convergence for infinite dimensional optimal control problems. Zbl 1040.49015
Acquistapace, Paolo; Briani, Ariela
2002
Homogenization results for a deterministic multi-domains periodic control problem. Zbl 1338.49005
Barles, Guy; Briani, Ariela; Chasseigne, Emmanuel; Tchou, Nicoletta
2015
Characterization of the value function of final state constrained control problems with BV trajectories. Zbl 1238.49004
Briani, Ariela; Zidani, Hasnaa
2011
Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities. Zbl 1175.35008
Briani, Ariela; Monneau, Régis
2009
A priori estimates for the approximation of a parabolic boundary control problem. Zbl 0899.65042
Briani, Ariela; Falcone, Maurizio
1998
Diffusion as a singular homogenization of the Frenkel-Kontorova model. Zbl 1222.35018
Alibaud, N.; Briani, A.; Monneau, R.
2011
Stable solutions in potential mean field game systems. Zbl 1390.35365
Briani, Ariela; Cardaliaguet, Pierre
2018
Flux-limited and classical viscosity solutions for regional control problems. Zbl 1414.49032
Barles, G.; Briani, A.; Chasseigne, E.; Imbert, C.
2018
Homogenization results for a deterministic multi-domains periodic control problem. Zbl 1338.49005
Barles, Guy; Briani, Ariela; Chasseigne, Emmanuel; Tchou, Nicoletta
2015
A Bellman approach for regional optimal control problems in $$\mathbb{R}^N$$. Zbl 1297.49041
Barles, G.; Briani, A.; Chasseigne, E.
2014
A Bellman approach for two-domains optimal control problems in $$\mathbb{R}^N$$. Zbl 1287.49028
Barles, G.; Briani, A.; Chasseigne, E.
2013
Approximation schemes for monotone systems of nonlinear second order partial differential equations: convergence result and error estimate. Zbl 1252.35021
Briani, Ariela; Camilli, Fabio; Zidani, Hasnaa
2012
On the gradient flow of a one-homogeneous functional. Zbl 1238.49015
Briani, Ariela; Chambolle, Antonin; Novaga, Matteo; Orlandi, Giandomenico
2011
Characterization of the value function of final state constrained control problems with BV trajectories. Zbl 1238.49004
Briani, Ariela; Zidani, Hasnaa
2011
Diffusion as a singular homogenization of the Frenkel-Kontorova model. Zbl 1222.35018
Alibaud, N.; Briani, A.; Monneau, R.
2011
Minimum time control problems for non-autonomous differential equations. Zbl 1181.49034
Bokanowski, O.; Briani, A.; Zidani, H.
2009
Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities. Zbl 1175.35008
Briani, Ariela; Monneau, Régis
2009
Monge solutions for discontinuous Hamiltonians. Zbl 1087.35023
Briani, Ariela; Davini, Andrea
2005
A density approach to Hamilton-Jacobi equations with $$t$$-measurable Hamiltonians. Zbl 1075.49012
Briani, Ariela; Rampazzo, Franco
2005
Homogenization of $$L^\infty$$ functionals. Zbl 1069.49017
Briani, Ariela; Prinari, Francesca; Garroni, Adriana
2004
$$\Gamma$$-convergence for infinite dimensional optimal control problems. Zbl 1040.49015
Acquistapace, Paolo; Briani, Ariela
2002
Convergence of Hamilton-Jacobi equations for sequences of optimal control problems. Zbl 1089.49501
Briani, Ariela
2000
A Hamilton-Jacobi equation with measures arising in $$\Gamma$$-convergence of optimal control problems. Zbl 1007.49015
Briani, Ariela
1999
A priori estimates for the approximation of a parabolic boundary control problem. Zbl 0899.65042
Briani, Ariela; Falcone, Maurizio
1998
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#### Cited by 121 Authors

 5 Cirant, Marco 5 Tchou, Nicoletta Anna 4 Achdou, Yves 4 Barles, Guy 4 Cesaroni, Annalisa 4 Forcadel, Nicolas 4 Zidani, Hasnaa 3 Briani, Ariela 3 Chasseigne, Emmanuel 3 Imbert, Cyril 3 Prinari, Francesca 3 Rao, Zhiping 3 Reisinger, Christoph 3 Zappale, Elvira 2 Ayissi, Raoul Domingo 2 Camilli, Fabio 2 Cardaliaguet, Pierre 2 Dao, Manh-Khang 2 Etoua, Remy Magloire 2 Forsyth, Peter A. 2 Gan, Luhui 2 Łasica, Michał 2 Liu, Qing 2 Masoero, Marco 2 Mucha, Piotr Bogusław 2 Oudet, Salomé 2 Ponsiglione, Marcello 2 Siconolfi, Antonio 2 Zhang, Yufei 1 Albeverio, Sergio A. 1 Alimov, Shavkat Arifdzhanovich 1 Amato, Stefano 1 Armstrong, Scott N. 1 Assellaou, Mohamed 1 Babbin, J. 1 Bagagiolo, Fabio 1 Baier, Robert 1 Balasuriya, Sanjeeva 1 Bardi, Martino 1 Bartosz, Krzysztof 1 Bellettini, Giovanni 1 Bokanowski, Olivier 1 Bressan, Alberto 1 Carlini, Elisabetta 1 Cartea, Álvaro 1 Cecchin, Alekos 1 Chambolle, Antonin 1 Chen, Robin Ming 1 David, Dongo 1 Davini, Andrea 1 de Pinho, Maria do Rosário 1 De Zan, Cecilia 1 Denkowski, Zdzislaw 1 Dirr, Nicolas Peter 1 Djehiche, Boualem 1 Dondl, Patrick Werner 1 Donnelly, Ryan 1 Duval, Vincent 1 El Hajj, Ahmad 1 Festa, Adriano 1 Garroni, Adriana 1 Ghilli, Daria 1 Giacomelli, Lorenzo 1 Giga, Yoshikazu 1 Gomes, Diogo Luís Aguiar 1 Goreac, Dan 1 Graber, Philip Jameson 1 Guo, Changyu 1 Hamamuki, Nao 1 Iturriaga, Renato 1 Jaimungal, Sebastian 1 Jalalzai, Khalid 1 Jiang, Yilun 1 Kalita, Piotr 1 Kielak, Karolina 1 Kobylanski, Magdalena 1 Kreisbeck, Carolin 1 Kunisch, Karl 1 Labahn, George 1 Lai, Junyu 1 Le, Thuy T. T. 1 Maggistro, Rosario 1 Marchi, Claudio 1 Martinez, Miguel 1 Maturin, Foko Kamseu 1 Maurer, Helmut 1 Mirrahimi, Sepideh 1 Moll, Salvador 1 Monneau, Régis 1 Nguyen, Vinh Duc 1 Noutchegueme, Norbert 1 Novaga, Matteo 1 Nutz, Marcel 1 Overgaard, Niels Chr. 1 Penot, Jean-Paul 1 Peyré, Gabriel 1 Poon, Clarice 1 Rainer, Catherine 1 Rybka, Piotr 1 Salazar, Wilfredo ...and 21 more Authors
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#### Cited in 48 Serials

 7 Journal of Differential Equations 6 Applied Mathematics and Optimization 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 SIAM Journal on Control and Optimization 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Calculus of Variations and Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Numerical Analysis 2 Communications in Partial Differential Equations 2 Journal of Mathematical Imaging and Vision 2 Discrete and Continuous Dynamical Systems 2 Networks and Heterogeneous Media 2 Analysis & PDE 2 Mathematical Control and Related Fields 1 Applicable Analysis 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Nonlinearity 1 Mathematics of Computation 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Journal of Optimization Theory and Applications 1 Transactions of the American Mathematical Society 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 The Annals of Applied Probability 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Applied Mathematical Finance 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 African Diaspora Journal of Mathematics 1 SIAM Journal on Imaging Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 SIAM Journal on Financial Mathematics 1 International Journal of Differential Equations 1 Advances in Pure and Applied Mathematics 1 Dynamic Games and Applications 1 Evolution Equations and Control Theory 1 Journal de l’École Polytechnique – Mathématiques 1 Geometric Flows
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#### Cited in 26 Fields

 56 Calculus of variations and optimal control; optimization (49-XX) 48 Partial differential equations (35-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Numerical analysis (65-XX) 8 Probability theory and stochastic processes (60-XX) 8 Systems theory; control (93-XX) 6 Operator theory (47-XX) 6 Mechanics of deformable solids (74-XX) 6 Information and communication theory, circuits (94-XX) 5 Ordinary differential equations (34-XX) 4 Operations research, mathematical programming (90-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Computer science (68-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX)