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math.AP2011★ 16 cited
On the gradient flow of a one-homogeneous functional
Ariela Briani, Antonin Chambolle, Matteo Novaga +1
We consider the gradient flow of a one-homogeneous functional, whose dual involves the derivative of a constrained scalar function. We show in this case that the gradient flow is r…
math.AP2011
Representation, relaxation and convexity for variational problems in Wiener spaces
Antonin Chambolle, Michael Goldman, Matteo Novaga
We show convexity of solutions to a class of convex variational problems in the Gauss and in the Wiener space. An important tool in the proof is a representation formula for integr…