An introduction to the analysis of gradients systems
Mathematical Physics
2023-06-09 v1 math.MP
Abstract
The present notes provide an extended version of a small lecture course given at the Humboldt Universit\"at zu Berlin in the Winter Term 2022/23 (of 36 hours). The material starting in Section 5.4 was added afterwards. The aim of these notes to give an introductory overview on the analytical approaches for gradient-flow equations in Hilbert spaces, Banach spaces, and metric spaces and to show that on the first entry level these theories have a lot in common. The theories and their specific setups are illustrated by suitable examples and counterexamples.
Keywords
Cite
@article{arxiv.2306.05026,
title = {An introduction to the analysis of gradients systems},
author = {Alexander Mielke},
journal= {arXiv preprint arXiv:2306.05026},
year = {2023}
}