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arXiv · 2110.02012

Gradient flows for bounded linear evolution equations

D. R. Michiel Renger·Stefanie Schindler
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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.

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D. R. Michiel Renger, Stefanie Schindler. 2021-10-05. Gradient flows for bounded linear evolution equations. https://arxiv.org/abs/2110.02012

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