| Title: |
Transport equations in H\'older space by vanishing viscosity and applications |
| Authors: |
Honoré, Igor |
| Publication Year: |
2022 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Analysis of PDEs, Primary: 35K40, 35J75, Secondary: 35A02, 46E35 |
| More Details: |
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. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2209.09530 |
| Accession Number: |
edsarx.2209.09530 |
| Database: |
arXiv |
