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

Gianni Dal Maso·Adriana Garroni
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Abstract

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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Gianni Dal Maso, Adriana Garroni. 2005-07-05. Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics. https://arxiv.org/abs/math/0507088

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