Transport equations in H\"older space by vanishing viscosity and applications
Analysis of PDEs
2024-11-20 v3
Abstract
We obtain a sharp limit H\"older continuity of the solution for the transport equations thanks to a vanishing viscosity analysis. We also derive the same control for parabolic equations and for inviscid Burgers' equation. Eventually, under a structural hypothesis on the coefficients, we provide existence and uniqueness of a H\"older continuous solution.
Keywords
Cite
@article{arxiv.2209.09530,
title = {Transport equations in H\"older space by vanishing viscosity and applications},
author = {Igor Honoré},
journal= {arXiv preprint arXiv:2209.09530},
year = {2024}
}