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

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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.
7 pages

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Analysis of PDEs, 74R99; 49J45; 49N60

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http://salesiana.dossiersoluciones.com/handle/123456789/75678

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507088
 http://arxiv.org/abs/math/0507088

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arXiv