Gradient flows for bounded linear evolution equations
D. R. Michiel Renger
TU Munich, Garching, GermanyStefanie 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