214 citations · 485 across the 38 of their papers we have counts for
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math.AP2020★ 34 cited
A survey of the elastic flow of curves and networks
Carlo Mantegazza, Alessandra Pluda, Marco Pozzetta
We collect and present in a unified way several results in recent years about the elastic flow of curves and networks, trying to draw the state of the art of the subject. In partic…
math.AP2020
A Triviality Result for Semilinear Parabolic Equations
Giovanni Catino, Daniele Castorina, Carlo Mantegazza
We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation \begin{equation*} u_{t}=Δu + |u|^{p} \end{equation*} on co…
math.AP2020★ 22 cited
The Lojasiewicz-Simon inequality for the elastic flow
Carlo Mantegazza, Marco Pozzetta
We define the elastic energy of smooth immersed closed curves in as the sum of the length and the -norm of the curvature, with respect to the length measure. We…