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.

Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics / Dal Maso, Gianni; Garroni, A.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 31:2(2008), pp. 137-145. [10.1007/s00526-006-0084-3]

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

Dal Maso, Gianni;
2008-01-01

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.
2008
31
2
137
145
Dal Maso, Gianni; Garroni, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12433
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