Theoretical and numerical trends in inverse problems and control for PDE’s, and Hamilton-Jacobi equation: French-Italian-Japanese conference
Conférence franco-italo-japonaise sur l’analyse théorique et numérique des problèmes inverses et du contrôle des EDP, et de l’équation de Hamilton-Jacobi

13 – 17 June 2022

Scientific Committee
Comité scientifique

Jean-Michel Coron (Sorbonne Université)
Hitoshi Ishii (Tsuda University)
Paola Loreti (Sapienza University of Rome)
Giovanni Russo (University of Catania)
Masahiro Yamamoto (The University of Tokyo)

Organizing Committee
Comité d’organisation

Anna Doubova (University of Seville)
Giuseppe Floridia (Mediterranean University of Reggio Calabria)
Éric Soccorsi (Aix-Marseille Université)
Masahiro Yamamoto (The University of Tokyo)

This meeting aims to highlight the latest achievements of leading researchers from the French, Italian and Japanese mathematical communities in the Hamilton-Jacobi equation, inverse problems and control theory, as well as younger researchers in the field, in order to discuss and disseminate the latest results and envisage new challenges. Its main purpose is to give an overview of the different aspects of these problems and the various tools employed for solving them, from both theoretical and numerical viewpoints. The conference will include about 35 main lectures of about 45 minutes each. Moreover, young researchers will be invited to participate in short talks and a poster session.
L’objet de cette conférence est de présenter les résultats récents obtenus par les communautés mathématiques française, italienne et japonaise, dans l’analyse des problèmes inverses et du contrôle des équations aux dérivées partielles, ainsi que de celle de l’équation de Hamilton-Jacobi. Ceci en décrivant les différentes méthodes et les outils mathématiques utilisés par l’étude aussi bien théorique que numérique, de ces trois thématiques.

Goro Akagi (Tohoku University)   Evolution equations with irreversibility constraints
Fatiha Alabau-Boussouira (Université de Lorraine)     Bilinear control of PDE’s par scalar-input control and applications
Paolo Albano (University of Bologna)   On the distance function in the presence of an obstacle
Giacomo Albi (University of de Verona)   Kinetic approximation of mean-field control problems
Martino Bardi (University of Padova)   PDE and control method for optimizing deep neural network
Karine Beauchard (ENS Rennes)   Obstructions to small time local controllability
Italo Capuzzo Dolcetta (Sapienza University of Rome)
Pierre Cardaliaguet (Université Paris Dauphine-PSL)   Microscopic derivation of a traffic flow model with a bifurcation
Emiliano Cristiani (CNR Italy)   A Generalized Mean Field Game Model for the Dynamics of Pedestrians with Limited Predictive Abilities
Luz de Teresa (National Autonomous University of Mexico)   Controllability of a one dimensional degenerate parabolic equation with first order terms
Maurizio Falcone (Sapienza Roma)   An optimal control approach to Reinforcement Learning and its algorithms
Albert Fathi (ENS Lyon)  Piermarco and I
Enrique Fernandez-Cara (University of Seville)   Remarks on the bi-objective and hierarchic control of PDE systems
Genni Fragnelli (University of Bari)   Controllability and stabilization for a degenerate wave equation in non divergence form with drift
Hélène Frankowska (Sorbonne Université)   Value Function in Optimal Control on Wasserstein Spaces
Kazuhiro Ishige (The University of Tokyo)   Characterization of F-concavity preserved by the Dirichlet heat flow
Hiromichi Itou (Tokyo University of Science)   On inverse crack problems in linearized elastic bodies by the Enclosure method
Barbara Kaltenbacher (University of Klagenfurt)   Imaging with nonlinear and fractionally damped waves
Qing Liu (Okinawa Institute of Science and Technology)  Principal eigenvalue problem for infinity Laplacian in metric spaces
Yikan Liu (Hokkaido University)  Uniqueness of a parameter inverse problem for multi-term time-fractional diffusion equations by inexact data
Antonio Marigonda (University of Verona)   Random lift of set-valued map and applications to MFG
Hiroyoshi Mitake (The University of Tokyo)   On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation
Takaaki Nara (The University of Tokyo)   Inverse source problem for Poisson’s equation for identification of an epileptic focus from magnetic field measurements
Takayoshi Ogawa (Tohoku University)   End-point maximal regularity for the Stokes system and an application to a free boundary problem of the Navier-Stokes equations
Cristina Pignotti (University of L’Aquila)   Energy decay for semilinear viscoelastic wave equations with delay feedback
Alessio Porretta (University of Rome Tor Vergata)   Viscous Hamilton-Jacobi equations in the superquadratic case
Elisabetta Rocca (University of Pavia)   Identification of cavities and inclusions in linear elasticity with a phase-field approach
Daniela Sforza (Sapienza University of Rome)   Trace regularity for time-fractional evolution equations
Carlo Sinestrari (University of Rome Tor Vergata)   Generation of singularities from the initial datum for Hamilton-Jacobi equations
Halil Mete Soner (Princeton University)  Optimal Stopping in High-dimensions
Nguyen Tien Khai (University of North Carolina)   BV-like structure and metric entropy for HJ equations with non Tonelli Hamiltonian
Vincenzo Vespri (Florence University)   A survey about regularity results for anisotropic parabolic operators
Cheng Wei (Nanjing University)   Commutators of Lax-Oleinik and propagation of singularities
Enrique Zuazua (University of Erlangen-Nuremberg)   Optimal design of sensors and actuators