Special Session 126: Defects, Microstructures, and Failure: Multiscale Variational Models

On quantitative properties of Griffith quasi-minimizers
Camille Labourie
University of Lorraine
France
Co-Author(s):    Antoine Lemenant, Lorenzo Lamberti, Yana Teplitskaya
Abstract:
Griffith quasiminimizers (in the sense of David and Semmes) are meant to represent minimizers of Griffith-type energies with possibly highly irregular coefficients. I will present recent regularity results such as uniform rectifiability, existence of espace curves, finiteness of traces and explain why no stronger regularity property can hold for all such quasiminimizers.