vix.ing · top · new · best · stats · spec

The intrinsic Hopf-Lax semigroup vs. The intrinsic slope

2022/07/10 by Daniela Di Donato, Di Donato, Daniela
Computer Science · Economics, Econometrics and Finance · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Optimization and Variational Analysis #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2207.04486

openalex publication_date 2022/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we introduce a natural notion of intrinsic Hopf-Lax semigroup in the context of the so-called intrinsically Lipschitz sections. The main aims are to prove the link between the intrinsic Hopf-Lax semigroup and the intrinsic slope and to show that the intrinsic Hopf-Lax semigroup is a subsolution of Hamilton-Jacobi type equality.

Related