Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics
Gianni Dal Maso, Adriana Garroni · arXiv (Cornell University) · 2005
In this note we consider a free discontinuity problem for a scalar function, whose energy depends also on the size of the jump. We prove that the gradient of every smooth local minimizer never exceeds a constant, determined only by the data of the problem.