Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics |
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| Authors: | Gianni Dal Maso Adriana Garroni |
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| Institution: | (1) SISSA, via Beirut 2-4, 34014 Trieste, Italy;(2) Dipartimento di Matematica, Sapienza, Università di Roma, P.le Aldo Moro 3, 00185 Rome, Italy |
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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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| Keywords: | 74R99 49J45 49N60 |
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