Hélène Frankowska

3.4k total citations
116 papers, 1.8k citations indexed

About

Hélène Frankowska is a scholar working on Computational Theory and Mathematics, Control and Systems Engineering and Applied Mathematics. According to data from OpenAlex, Hélène Frankowska has authored 116 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 87 papers in Computational Theory and Mathematics, 50 papers in Control and Systems Engineering and 49 papers in Applied Mathematics. Recurrent topics in Hélène Frankowska's work include Optimization and Variational Analysis (71 papers), Stability and Controllability of Differential Equations (34 papers) and Nonlinear Partial Differential Equations (20 papers). Hélène Frankowska is often cited by papers focused on Optimization and Variational Analysis (71 papers), Stability and Controllability of Differential Equations (34 papers) and Nonlinear Partial Differential Equations (20 papers). Hélène Frankowska collaborates with scholars based in France, Italy and China. Hélène Frankowska's co-authors include Piermarco Cannarsa, Jean‐Pierre Aubin, Sławomir Plaskacz, Richard Vinter, Giuseppe Da Prato, Piernicola Bettiol, Franco Rampazzo, Marc Quincampoix, Marco Mazzola and Aurelian Cernea and has published in prestigious journals such as IEEE Transactions on Automatic Control, Journal of Mathematical Analysis and Applications and Mathematical Programming.

In The Last Decade

Hélène Frankowska

110 papers receiving 1.6k citations

Peers

Hélène Frankowska
E. N. Barron United States
Qiji Jim Zhu United States
E. N. Barron United States
Hélène Frankowska
Citations per year, relative to Hélène Frankowska Hélène Frankowska (= 1×) peers E. N. Barron

Countries citing papers authored by Hélène Frankowska

Since Specialization
Citations

This map shows the geographic impact of Hélène Frankowska's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Hélène Frankowska with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Hélène Frankowska more than expected).

Fields of papers citing papers by Hélène Frankowska

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hélène Frankowska. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Hélène Frankowska. The network helps show where Hélène Frankowska may publish in the future.

Co-authorship network of co-authors of Hélène Frankowska

This figure shows the co-authorship network connecting the top 25 collaborators of Hélène Frankowska. A scholar is included among the top collaborators of Hélène Frankowska based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Hélène Frankowska. Hélène Frankowska is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Frankowska, Hélène, et al.. (2024). Carathéodory theory and a priori estimates for continuity inclusions in the space of probability measures. Nonlinear Analysis. 247. 113595–113595.
2.
Frankowska, Hélène, et al.. (2024). On the Viability and Invariance of Proper Sets under Continuity Inclusions in Wasserstein Spaces. SIAM Journal on Mathematical Analysis. 56(3). 2863–2914. 2 indexed citations
3.
Frankowska, Hélène & Nikolai P. Osmolovskii. (2023). Second order optimality conditions for minimization on a general set. Part 1: Applications to mathematical programming. Journal of Mathematical Analysis and Applications. 529(2). 127384–127384. 2 indexed citations
4.
Frankowska, Hélène, et al.. (2020). Differential Inclusions in Wasserstein Spaces: The Cauchy-Lipschitz\n Framework. arXiv (Cornell University). 24 indexed citations
5.
Frankowska, Hélène. (2018). The Poincaré–Miranda theorem and viability condition. Journal of Mathematical Analysis and Applications. 463(2). 832–837. 5 indexed citations
6.
Frankowska, Hélène, Elsa M. Marchini, & Marco Mazzola. (2018). Necessary optimality conditions for infinite dimensional state constrained control problems. Journal of Differential Equations. 264(12). 7294–7327. 11 indexed citations
7.
Cannarsa, Piermarco, et al.. (2018). Necessary conditions for infinite horizon optimal control problems with state constraints. Mathematical Control and Related Fields. 8(3&4). 535–555. 10 indexed citations
8.
Cannarsa, Piermarco & Hélène Frankowska. (2017). Value function, relaxation, and transversality conditions in infinite horizon optimal control. Journal of Mathematical Analysis and Applications. 457(2). 1188–1217. 14 indexed citations
9.
Frankowska, Hélène, et al.. (2017). Pointwise second-order necessary optimality conditions and second-order sensitivity relations in optimal control. Journal of Differential Equations. 262(12). 5735–5772. 6 indexed citations
10.
Frankowska, Hélène, Haisen Zhang, & Xu Zhang. (2016). First and second order necessary conditions for stochastic optimal controls. Journal of Differential Equations. 262(6). 3689–3736. 17 indexed citations
11.
Cannarsa, Piermarco, Giuseppe Da Prato, & Hélène Frankowska. (2016). Invariance for quasi-dissipative systems in Banach spaces. Journal of Mathematical Analysis and Applications. 457(2). 1173–1187. 5 indexed citations
12.
Bayen, Alexandre M., et al.. (2013). Special issue onMathematics of Traffic Flow Modeling, Estimation and Control. Networks and Heterogeneous Media. 8(3). i–ii. 1 indexed citations
13.
Frankowska, Hélène, et al.. (2013). Explicit construction of solutions to the Burgers equation with discontinuous initial-boundary conditions. Networks and Heterogeneous Media. 8(3). 727–744. 1 indexed citations
14.
Hadj‐Bouziane, Fadila, et al.. (2006). Conditional visuo-motor learning and dimension reduction. Cognitive Processing. 7(2). 95–104. 8 indexed citations
15.
Frankowska, Hélène. (2005). Optimal synthesis via superdifferentials of value function. Control and Cybernetics. 34(3). 787–803. 5 indexed citations
16.
Frankowska, Hélène & Franco Rampazzo. (1998). Relaxing constrained control systems. Bulletin of The Polish Academy of Sciences Mathematics. 46(1). 70–81. 1 indexed citations
17.
Aubin, Jean‐Pierre & Hélène Frankowska. (1991). Hyperbolic systems of partial differential inclusions. IIASA PURE (International Institute of Applied Systems Analysis). 18(4). 541–562. 18 indexed citations
18.
Frankowska, Hélène. (1989). Hamilton-Jacobi equations: Viscosity solutions and generalized gradients. Journal of Mathematical Analysis and Applications. 141(1). 21–26. 48 indexed citations
19.
Frankowska, Hélène, et al.. (1988). Linearization and Boundary Trajectories of Nonsmooth Control Systems. Canadian Journal of Mathematics. 40(3). 589–609. 10 indexed citations
20.
Aubin, Jean‐Pierre & Hélène Frankowska. (1984). On inverse function theorems for set-valued maps. Journal de Mathématiques Pures et Appliquées. 66(1). 71–89. 34 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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