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arxiv: math/0507088 · v1 · submitted 2005-07-05 · 🧮 math.AP

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

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keywords discontinuityfreegradientproblemboundscohesiveconsiderconstant
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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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