We consider an Hamilton-Jacobi equation of the form H( x, Du) = 0 x is an element of Omega R-N, ( 1) where H( x, p) is assumed Borel measurable and quasi-convex in p. The notion of Monge solution, introduced by Newcomb and Su, is adapted to this setting making use of suitable metric devices. We establish the comparison principle for Monge sub and supersolution, existence and uniqueness for equation ( 1) coupled with Dirichlet boundary conditions, and a stability result. The relation among Monge and Lipschitz subsolutions is also discussed
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamlton-Jac...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...
Abstract. We consider an Hamilton-Jacobi equation of the form H(x,Du) = 0 x ∈ Ω ⊂ RN, (1) where H(x...
We consider an Hamilton-Jacobi equation of the form $$ H(x,Du)=0\quad x\in\Omega\subset\mathbb R^N...
We consider an Hamilton-Jacobi equation of the form $$ H(x,Du)=0\quad x\in\Omega\subset\mathbb R^N...
We consider an Hamilton-Jacobi equation of the form $$ H(x,Du)=0\quad x\in\Omega\subset\mathbb R^N...
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamilton-Ja...
An approach is introduced to construct global discontinuous solutions in L ∞ for Hamilton-Jacobi equ...
By means of the classical Legendre transform of continuous Hamiltonian we obtain necessary condition...
We study the continuous as well as the discontinuous solutions of Hamilton-Jacobi equation ut + H(u,...
International audienceExistence and uniqueness of solutions to a Hamilton-Jacobi equation with the H...
We study the Dirichlet problem for stationary Hamilton-Jacobi equations {H(x,u(x),∇u(x))=0u(x)=φ(x)...
We study the Dirichlet problem for stationary Hamilton-Jacobi equations {H(x,u(x),∇u(x))=0u(x)=φ(x) ...
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamlton-Jac...
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamlton-Jac...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...
Abstract. We consider an Hamilton-Jacobi equation of the form H(x,Du) = 0 x ∈ Ω ⊂ RN, (1) where H(x...
We consider an Hamilton-Jacobi equation of the form $$ H(x,Du)=0\quad x\in\Omega\subset\mathbb R^N...
We consider an Hamilton-Jacobi equation of the form $$ H(x,Du)=0\quad x\in\Omega\subset\mathbb R^N...
We consider an Hamilton-Jacobi equation of the form $$ H(x,Du)=0\quad x\in\Omega\subset\mathbb R^N...
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamilton-Ja...
An approach is introduced to construct global discontinuous solutions in L ∞ for Hamilton-Jacobi equ...
By means of the classical Legendre transform of continuous Hamiltonian we obtain necessary condition...
We study the continuous as well as the discontinuous solutions of Hamilton-Jacobi equation ut + H(u,...
International audienceExistence and uniqueness of solutions to a Hamilton-Jacobi equation with the H...
We study the Dirichlet problem for stationary Hamilton-Jacobi equations {H(x,u(x),∇u(x))=0u(x)=φ(x)...
We study the Dirichlet problem for stationary Hamilton-Jacobi equations {H(x,u(x),∇u(x))=0u(x)=φ(x) ...
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamlton-Jac...
The uniqueness of classical semicontinuous viscosity solutions of the Cauchy problem for Hamlton-Jac...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...