Convergence of solutions for some degenerate discounted Hamilton--Jacobi equations - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Convergence of solutions for some degenerate discounted Hamilton--Jacobi equations

Résumé

We study solutions of Hamilton--Jacobi equations of the form $$\lambda \alpha(x) u_\lambda(x) + H(x, D_x u_\lambda) = c,$$ where $\alpha$ is a nonnegative function, $\lambda$ a positive constant, $c$ a constant and $H $ a convex coercive Hamiltonian. Under suitable conditions on $\alpha$ we prove that the functions $u_\lambda$ converge as $\lambda\to 0$ to a function $u_0$ that is a solution of the critical equation $H(x, D_x u_0) = c$.

Dates et versions

hal-02987703 , version 1 (04-11-2020)

Identifiants

Citer

Maxime Zavidovique. Convergence of solutions for some degenerate discounted Hamilton--Jacobi equations. 2020. ⟨hal-02987703⟩
7 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More