Add to ORKGEquations of an eikonal type ones arise in many areas of applications, including optics, fluid mechanics, material sciences, and control theory. This article investigates the representation formula for semiconcave solutions of the boundary problem for eikonal type equation. The formula is given by forming envelope of some fundamental solutions of the equation. Using these fundamental solutions we obtain the representation formula for solutions of Cauchy problem for appropriate Hamilton – Jacobi equation. Key words: Eikonal, Hamilton – Jacobi, semiconcave solution
International audienceIn this article we study a system of eikonal equations. Our aim is to isolate ...
Solutions of the Hamilton-Jacobi equation H(x,-Du(x)) = 1, where H(center dot, p) is Holder continuo...
In this paper we study an approximation scheme for a class of Hamilton Jacobi problems for which uni...
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mecha...
This article investigates the representation formula for the semiconcave solutions of the Cauchy pro...
This article investigates the representation formula for the semiconcave solutions of the Cauchy pro...
We consider the viscosity solution of a homogeneous Dirichlet problem for the eikonal equation in a ...
We consider the Dirichlet problem for a class of Hamilton- Jacobi equations and we show that if the ...
Abstract|Stationary quasi-P eikonal equations, stationary Hamilton-Jacobi equations, arise from the ...
AbstractStationary quasi-P eikonal equations, stationary Hamilton-Jacobi equations, arise from the a...
A new notion of solution (called £-solution) is introduced so that the Cauchy problem for the Hamilt...
In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi...
This paper introduces a new representation formula for viscosity solutions of non-convex Hamilton–Ja...
It is the aim of this paper to show how the classical theory, based on fundamental solutions and exp...
We show how to use the Projective Duality to compute the support of caustics related to geometrical ...
International audienceIn this article we study a system of eikonal equations. Our aim is to isolate ...
Solutions of the Hamilton-Jacobi equation H(x,-Du(x)) = 1, where H(center dot, p) is Holder continuo...
In this paper we study an approximation scheme for a class of Hamilton Jacobi problems for which uni...
Equations of an eikonal type ones arise in many areas of applications, including optics, fluid mecha...
This article investigates the representation formula for the semiconcave solutions of the Cauchy pro...
This article investigates the representation formula for the semiconcave solutions of the Cauchy pro...
We consider the viscosity solution of a homogeneous Dirichlet problem for the eikonal equation in a ...
We consider the Dirichlet problem for a class of Hamilton- Jacobi equations and we show that if the ...
Abstract|Stationary quasi-P eikonal equations, stationary Hamilton-Jacobi equations, arise from the ...
AbstractStationary quasi-P eikonal equations, stationary Hamilton-Jacobi equations, arise from the a...
A new notion of solution (called £-solution) is introduced so that the Cauchy problem for the Hamilt...
In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi...
This paper introduces a new representation formula for viscosity solutions of non-convex Hamilton–Ja...
It is the aim of this paper to show how the classical theory, based on fundamental solutions and exp...
We show how to use the Projective Duality to compute the support of caustics related to geometrical ...
International audienceIn this article we study a system of eikonal equations. Our aim is to isolate ...
Solutions of the Hamilton-Jacobi equation H(x,-Du(x)) = 1, where H(center dot, p) is Holder continuo...
In this paper we study an approximation scheme for a class of Hamilton Jacobi problems for which uni...