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

TitleGradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics
Publication TypeJournal Article
Year of Publication2008
AuthorsDal Maso, G, Garroni, A
JournalCalc. Var. Partial Differential Equations 31 (2008) 137-145
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.

URLhttp://hdl.handle.net/1963/1723
DOI10.1007/s00526-006-0084-3

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