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math.AP2021
Gradient flows for bounded linear evolution equations
D. R. Michiel Renger, Stefanie Schindler
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 f…
math.AP2015★ 16 cited
On microscopic origins of generalized gradient structures
Matthias Liero, Alexander Mielke, Mark A. Peletier +1
Classical gradient systems have a linear relation between rates and driving forces. In generalized gradient systems we allow for arbitrary relations derived from general non-quadra…