International audienceFor non-convex Hamiltonians, the viscosity solution and the more geometric minimax solution of the Hamilton-Jacobi equation do not coincide in general. They are nevertheless related: we show that iterating the minimax procedure during shorter and shorter time intervals one recovers the viscosity solution
After a discussion on two fundamental routes —weak discontinuity waves and high frequency asymptotic...
We derive lower bound estimates for gradients of a viscosity solution to a Hamilton-Jacobi equation ...
There are two kinds of solutions of the Cauchy problem of first order, the viscosity solution and th...
International audienceFor non-convex Hamiltonians, the viscosity solution and the more geometric min...
The aim of this paper is twofold. We construct an extension to a non-integrable case of Hopf\u2019s ...
In this thesis, we study the solutions of Hamilton-Jacobi equations. We will compare the viscosity s...
In this thesis, we study the solutions of Hamilton-Jacobi equations. We will compare the viscosity s...
Abstract. A new approximation technique based on L1-minimization is in-troduced. It is proven that t...
We study the relaxation of Hamilton-Jacobi equations. The relaxation in our terminology is the follo...
Continuing research GP1, GP2 on the well-posedness of the time-minimum problem with a constant conve...
We study the first order Hamilton-Jacobi equation associated with a Lipschitz initial condition. The...
In this paper the author relates a geometric solution for the Cauchy problem to a convex Hamilton-Ja...
AbstractWe study Hamilton-Jacobi equations with an unbounded term in Hilbert spaces. We introduce a ...
On étudie l'équation de Hamilton-Jacobi évolutive du premier ordre, couplée avec une donnée initiale...
Simple explicit estimates are presented for the viscosity solution of the Cauchy problem for the Ham...
After a discussion on two fundamental routes —weak discontinuity waves and high frequency asymptotic...
We derive lower bound estimates for gradients of a viscosity solution to a Hamilton-Jacobi equation ...
There are two kinds of solutions of the Cauchy problem of first order, the viscosity solution and th...
International audienceFor non-convex Hamiltonians, the viscosity solution and the more geometric min...
The aim of this paper is twofold. We construct an extension to a non-integrable case of Hopf\u2019s ...
In this thesis, we study the solutions of Hamilton-Jacobi equations. We will compare the viscosity s...
In this thesis, we study the solutions of Hamilton-Jacobi equations. We will compare the viscosity s...
Abstract. A new approximation technique based on L1-minimization is in-troduced. It is proven that t...
We study the relaxation of Hamilton-Jacobi equations. The relaxation in our terminology is the follo...
Continuing research GP1, GP2 on the well-posedness of the time-minimum problem with a constant conve...
We study the first order Hamilton-Jacobi equation associated with a Lipschitz initial condition. The...
In this paper the author relates a geometric solution for the Cauchy problem to a convex Hamilton-Ja...
AbstractWe study Hamilton-Jacobi equations with an unbounded term in Hilbert spaces. We introduce a ...
On étudie l'équation de Hamilton-Jacobi évolutive du premier ordre, couplée avec une donnée initiale...
Simple explicit estimates are presented for the viscosity solution of the Cauchy problem for the Ham...
After a discussion on two fundamental routes —weak discontinuity waves and high frequency asymptotic...
We derive lower bound estimates for gradients of a viscosity solution to a Hamilton-Jacobi equation ...
There are two kinds of solutions of the Cauchy problem of first order, the viscosity solution and th...
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