Regularity Results for Eikonal-Type Equations with Nonsmooth Coefficients
Optimization and Control
2012-12-20 v1 Systems and Control
Analysis of PDEs
Abstract
Solutions of the Hamilton-Jacobi equation , with H\"older continuous and convex and positively homogeneous of degree 1, are shown to be locally semiconcave with a power-like modulus. An essential step of the proof is the -regularity of the extremal trajectories associated with the multifunction generated by .
Cite
@article{arxiv.1103.4454,
title = {Regularity Results for Eikonal-Type Equations with Nonsmooth Coefficients},
author = {Piermarco Cannarsa and Pierre Cardaliaguet},
journal= {arXiv preprint arXiv:1103.4454},
year = {2012}
}