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math.AP2014
Energy release rate for non smooth cracks in planar elasticity
Jean-François Babadjian, Antonin Chambolle, Antoine Lemenant
This paper is devoted to the characterization of the energy release rate of a crack which is merely closed, connected, and with density at the tip. First, the blow-up limit o…
math.AP2014
A rigidity result for global Mumford-Shah minimizers in dimension three
Antoine Lemenant
We study global Mumford-Shah minimizers in , introduced by Bonnet as blow-up limits of Mumford-Shah minimizers. We prove a new monotonicity formula for the energy of when…