Calculus of Variations and Geometric Measure Theory
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G. Dal Maso - A. Garroni

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

created by dalmaso on 05 Jul 2005
modified on 23 Sep 2008

[BibTeX]

Published Paper

Inserted: 5 jul 2005
Last Updated: 23 sep 2008

Journal: Calc. Var. Partial Differential Equations
Volume: 31
Pages: 137-145
Year: 2008

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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