For a Hamilton\u2013Jacobi equation defined on a network, we introduce its vanishing viscosity approximation. The elliptic equation is given on the edges and coupled with Kirchhoff-type conditions at the transition vertices. We prove that there exists exactly one solution of this elliptic approximation and mainly that, as the viscosity vanishes, it converges to the unique solution of the original problem
AbstractWe study the Dirichlet problem for viscous Hamilton–Jacobi equations. Despite this type of e...
In this paper we study the existence of a singular Hamilton–Jacobi equation under the framework of v...
We consider an optimal control on networks in the spirit of the works of Achdou et al. [NoDEA Nonlin...
For a Hamilton-Jacobi equation defined on a network, we introduce its vanishing viscosity approximat...
In this paper we study approximation of Hamilton–Jacobi equations defined on a network. We introduce...
In this paper we study an approximation scheme for an Hamilton-Jacobi equa-tion of Eikonal type defi...
International audienceThree definitions of viscosity solutions for Hamilton-Jacobi equations on netw...
Three definitions of viscosity solutions for Hamilton\u2013Jacobi equations on networks recently app...
Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared...
CourseInternational audienceLecture 1: A short introduction to linear differential equations on netw...
We study a one-parameter family of eikonal Hamilton–Jacobi equations on an embedded network, and pro...
We consider continuous-state and continuous-time control problems where the admissible trajectories ...
We study the Dirichlet problem for viscous Hamilton-Jacobi Equations. De-spite this type of equation...
We consider Hamilton--Jacobi equations, where the Hamiltonian depends discontinuously on both the sp...
We consider Hamilton--Jacobi equations, where the Hamiltonian depends discontinuously on both the...
AbstractWe study the Dirichlet problem for viscous Hamilton–Jacobi equations. Despite this type of e...
In this paper we study the existence of a singular Hamilton–Jacobi equation under the framework of v...
We consider an optimal control on networks in the spirit of the works of Achdou et al. [NoDEA Nonlin...
For a Hamilton-Jacobi equation defined on a network, we introduce its vanishing viscosity approximat...
In this paper we study approximation of Hamilton–Jacobi equations defined on a network. We introduce...
In this paper we study an approximation scheme for an Hamilton-Jacobi equa-tion of Eikonal type defi...
International audienceThree definitions of viscosity solutions for Hamilton-Jacobi equations on netw...
Three definitions of viscosity solutions for Hamilton\u2013Jacobi equations on networks recently app...
Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared...
CourseInternational audienceLecture 1: A short introduction to linear differential equations on netw...
We study a one-parameter family of eikonal Hamilton–Jacobi equations on an embedded network, and pro...
We consider continuous-state and continuous-time control problems where the admissible trajectories ...
We study the Dirichlet problem for viscous Hamilton-Jacobi Equations. De-spite this type of equation...
We consider Hamilton--Jacobi equations, where the Hamiltonian depends discontinuously on both the sp...
We consider Hamilton--Jacobi equations, where the Hamiltonian depends discontinuously on both the...
AbstractWe study the Dirichlet problem for viscous Hamilton–Jacobi equations. Despite this type of e...
In this paper we study the existence of a singular Hamilton–Jacobi equation under the framework of v...
We consider an optimal control on networks in the spirit of the works of Achdou et al. [NoDEA Nonlin...