Transport equations in H\'older space by vanishing viscosity and applications
| 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 |
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