Gradient flows for bounded linear evolution equations
Analysis of PDEs
2021-10-06 v1 Dynamical Systems
Abstract
We study linear evolution equations in separable Hilbert spaces defined by a bounded linear operator. We answer the question which of these equations can be written as a gradient flow, namely those for which the operator is real diagonalisable. The proof is constructive, from which we also derive geodesic lambda-convexity.
Cite
@article{arxiv.2110.02012,
title = {Gradient flows for bounded linear evolution equations},
author = {D. R. Michiel Renger and Stefanie Schindler},
journal= {arXiv preprint arXiv:2110.02012},
year = {2021}
}