On the Vanishing Viscosity Limit of Hamilton–Jacobi Equations with Nearly Optimal Discount

SIAM Journal on Mathematical Analysis 2026 Open access

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Authors: Zibo Wang, Jianlu Zhang
DOI: 10.1137/25m1811227
Cited by: 0

Abstract

Abstract. In this paper, we establish the convergence of solutions to the viscous Hamilton–Jacobi equation (with a Tonelli Hamiltonian): [Formula: see text], [Formula: see text] as [Formula: see text], once the modulus [Formula: see text] satisfies [Formula: see text]. Such an exponent of [Formula: see text] is nearly optimal for the convergence.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Stochastic processes and financial applications Mathematical Biology Tumor Growth

Publication details

Journal / source
SIAM Journal on Mathematical Analysis
Volume
58
Issue
5
Pages
4641–4669
Publication date
9 September 2026
Language
EN