Gradient flows for bounded linear evolution equations
classification
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equationslinearboundedevolutiongradientoperatoranswerconstructive
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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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