# Gradient flows for bounded linear evolution equations

### D. R. Michiel Renger

TU Munich, Garching, Germany### Stefanie Schindler

WIAS Berlin, Germany

## 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 this article

D. R. Michiel Renger, Stefanie Schindler, Gradient flows for bounded linear evolution equations. Z. Anal. Anwend. 41 (2022), no. 1/2, pp. 229–238

DOI 10.4171/ZAA/1706