AbstractThe aim of this paper is to introduce a new definition of viscosity solutions for Hamilton-Jacobi equations in infinite dimensions with unbounded nonlinear terms. We prove existence and uniqueness results under usual assumptions regarding the bounded part of the Hamiltonian
In this paper we prove a characterization of the maximal viscosity subsolution for a class of Hamilt...
This chapter analyzes viscosity solutions of Hamilton–Jacobi equations (HJEs) in Banach spaces. The ...
We study the Dirichlet problem for viscous Hamilton-Jacobi Equations. De-spite this type of equation...
AbstractIn a previous paper the author defined a notion for Hamilton-Jacobi equations with an unboun...
AbstractWe study Hamilton-Jacobi equations with an unbounded term in Hilbert spaces. We introduce a ...
AbstractEquations of Hamilton-Jacobi type arise in many areas of application, including the calculus...
We consider the Dirichlet problem for Hamilton-Jacobi equations and prove existence, uniqueness and ...
The viscosity solutions of the Cauchy problem u_t+H(x, u, Du)=0,u(x, 0)=u_0(x) in R^N, where H : R_N...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...
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...
We considers a non-convex first order Hamilton-Jacobi equation, with a non-homogeneous Dirichlet bou...
The main result is a proof of the existence of a unique viscosity solution for Hamilton-Jacobi equat...
We prove existence and uniqueness of viscosity solutions of Cauchy problems for fully nonlinear unbo...
A nonstandard dynamic boundary condition for a Hamilton--Jacobi equation in one space dimension is s...
In this paper we prove a characterization of the maximal viscosity subsolution for a class of Hamilt...
This chapter analyzes viscosity solutions of Hamilton–Jacobi equations (HJEs) in Banach spaces. The ...
We study the Dirichlet problem for viscous Hamilton-Jacobi Equations. De-spite this type of equation...
AbstractIn a previous paper the author defined a notion for Hamilton-Jacobi equations with an unboun...
AbstractWe study Hamilton-Jacobi equations with an unbounded term in Hilbert spaces. We introduce a ...
AbstractEquations of Hamilton-Jacobi type arise in many areas of application, including the calculus...
We consider the Dirichlet problem for Hamilton-Jacobi equations and prove existence, uniqueness and ...
The viscosity solutions of the Cauchy problem u_t+H(x, u, Du)=0,u(x, 0)=u_0(x) in R^N, where H : R_N...
We study the Cauchy problem for the simplest first-order Hamilton-Jacobi equation in one space dimen...
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...
We considers a non-convex first order Hamilton-Jacobi equation, with a non-homogeneous Dirichlet bou...
The main result is a proof of the existence of a unique viscosity solution for Hamilton-Jacobi equat...
We prove existence and uniqueness of viscosity solutions of Cauchy problems for fully nonlinear unbo...
A nonstandard dynamic boundary condition for a Hamilton--Jacobi equation in one space dimension is s...
In this paper we prove a characterization of the maximal viscosity subsolution for a class of Hamilt...
This chapter analyzes viscosity solutions of Hamilton–Jacobi equations (HJEs) in Banach spaces. The ...
We study the Dirichlet problem for viscous Hamilton-Jacobi Equations. De-spite this type of equation...