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A Tridimensional Inverse Shaping Problem
We study a question which arises in the following tridimensional magnetostatic inverse shaping problem: can one find a distribution of currents around a levitating... -
Regular Solutions of Second-Order Stationary Hamilton-Jacobi Equations
We study a second-order stationary Hamilton-Jacobi equation in infinite dimension. This equation is nonlinear and convex with respect to the first-ord- er term. We use... -
Fast Weak-Kam Integrators for separable Hamiltonian systems
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A new PDE approach to the large time asymptotics of solutions of Hamilton-Jac...
We introduce a new PDE approach to establishing the large time asymptotic behavior of solutions of Hamilton-Jacobi equations, which modifies and simplifies the... -
Large Deviation Principle for invariant distributions of Memory Gradient Diff...
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Legendre functions and the theory of characteristics
We devise a framework encompassing the classical theory of characteristics and the theory valid in the convex case recently obtained by R.T. Rockafellar and P.... -
Multigrid methods for zero-sum two player stochastic games
In this thesis, we present some algorithms and numerical results for the solution of large scale zero-sum two player repeated stochastic games. In particular, we... -
Games with incomplete information in continuous time and for continuous types.
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Discontinuous control problems with state constraints : Linear formulations a...
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Hamilton-Jacobi-Bellman Equations on Multi-Domains
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Large time behavior for some nonlinear degenerate parabolic equations
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Markov games with frequent actions and incomplete information
We study a two-player, zero-sum, stochastic game with incomplete information on one side in which the players are allowed to play more and more frequently. The... -
From pointwise to local regularity for solutions of Hamilton-Jacobi equation
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Optimal control of first-order Hamilton-Jacobi equations with linearly bounde...
We consider the optimal control of solutions of first order Hamilton-Jacobi equations, where the Hamiltonian is convex with linear growth. This models the problem of... -
Some results on the large time behavior of weakly coupled systems of first-or...
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Mean field games systems of first order
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Zubov's equation for state-constrained perturbed nonlinear systems
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Stable representation of convex Hamiltonians
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Hamilton-Jacobi equations on networks as limits of singularly perturbed probl...
We consider a family of open star-shaped domains made of a finite number of non intersecting semi-infinite strips of small thickness and of a central region whose...
