Gradient flows for bounded linear evolution equations

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Date
2021
Volume
2881
Issue
Journal
Series Titel
WIAS Preprints
Book Title
Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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.

Description
Keywords
Linear evolution equation, gradient system, gradient flow, spectral theory, geodesic lambda-convexity
Citation
Renger, D. R. M., & Schindler, S. (2021). Gradient flows for bounded linear evolution equations (Vol. 2881). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2881
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