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20072023
most citedCalculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

288 citations · 1.7k across the 31 of their papers we have counts for

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math.CA2017★ 1 cited

Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi

Florentine Fleißner, Giuseppe Savaré

We consider the Cauchy problem for the gradient flow \begin{equation} \label{eq:81} \tag{} u'(t)=-\nablaϕ(u(t)),\quad t\ge 0;\quad u(0)=u_0, \end{equation} generated by a co…

math.CA2010★ 14 cited

Lecture Notes on Gradient Flows and Optimal Transport

Sara Daneri, Giuseppe Savaré

We present a short overview on the strongest variational formulation for gradient flows of geodesically -convex functionals in metric spaces, with applications to diffusion equa…