Calculus of Variations and Geometric Measure Theory

D. Di Donato

The intrinsic Hopf-Lax semigroup vs. The intrinsic slope

created by didonato on 12 Jul 2022

[BibTeX]

preprint

Inserted: 12 jul 2022

Year: 2022

ArXiv: 2207.04486 PDF

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.