On the viscosity linearization method without compactness
Analysis of PDEs
2024-03-29 v1
Abstract
Savin's small perturbation approach has had far reaching applications in the theory of non-linear elliptic and parabolic PDE. In this short note, we revisit his seminal proof of De-Giorgi's improvement of flatness theorem for minimal surfaces and provide an approach based on the Harnack inequality that avoids the use of compactness arguments.
Cite
@article{arxiv.2403.18860,
title = {On the viscosity linearization method without compactness},
author = {Anthony Salib},
journal= {arXiv preprint arXiv:2403.18860},
year = {2024}
}