This article investigates the representation formula for the semiconcave solutions of the Cauchy problem for Hamilton-Jacobi equation with the convex Hamiltonian and the unbounded lower semicontinous initial function. The formula like Hopf ‘s formula is given by forming envelope of some fundamental solutions of the equation
In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi...
International audienceThis article is devoted to the Hamilton-Jacobi partial differential equation t...
A new notion of solution (called £-solution) is introduced so that the Cauchy problem for the Hamilt...
This article investigates the representation formula for the semiconcave solutions of the Cauchy pro...
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mecha...
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mecha...
The lower semicontinious solutions of Hamilton–Jacobi equation are contructed by Hopf formula, when ...
We consider the Cauchy problem for the Hamilton-Jacobi equations with concave-convex initial data. A...
Abstract. We consider the Cauchy problem for the Hamilton-Jacobi equa-tions with concave-convex init...
Simple explicit estimates are presented for the viscosity solution of the Cauchy problem for the Ham...
Abstract. The purpose of the present paper is to prove, solely using Con-vex (and Nonsmooth) analysi...
In this paper we report on some classical and more recent results about representation formulas for ...
International audienceExistence and uniqueness of solutions to a Hamilton-Jacobi equation with the H...
We study a class of semi-Lagrangian schemes which can be interpreted as a discrete version of the H...
Abstract. For evolutive Hamilton-Jacobi equations, we propose a refined def- inition of C0-variation...
In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi...
International audienceThis article is devoted to the Hamilton-Jacobi partial differential equation t...
A new notion of solution (called £-solution) is introduced so that the Cauchy problem for the Hamilt...
This article investigates the representation formula for the semiconcave solutions of the Cauchy pro...
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mecha...
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mecha...
The lower semicontinious solutions of Hamilton–Jacobi equation are contructed by Hopf formula, when ...
We consider the Cauchy problem for the Hamilton-Jacobi equations with concave-convex initial data. A...
Abstract. We consider the Cauchy problem for the Hamilton-Jacobi equa-tions with concave-convex init...
Simple explicit estimates are presented for the viscosity solution of the Cauchy problem for the Ham...
Abstract. The purpose of the present paper is to prove, solely using Con-vex (and Nonsmooth) analysi...
In this paper we report on some classical and more recent results about representation formulas for ...
International audienceExistence and uniqueness of solutions to a Hamilton-Jacobi equation with the H...
We study a class of semi-Lagrangian schemes which can be interpreted as a discrete version of the H...
Abstract. For evolutive Hamilton-Jacobi equations, we propose a refined def- inition of C0-variation...
In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi...
International audienceThis article is devoted to the Hamilton-Jacobi partial differential equation t...
A new notion of solution (called £-solution) is introduced so that the Cauchy problem for the Hamilt...
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