Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics

Details Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics

2005-07-05

arxiv.org/abs/math/0507088v1

Mathematics

Analysis of PDEs

7 pages

Scientific paper

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.

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