论文标题

Griffith功能的非本地近似

Non-local approximation of the Griffith functional

论文作者

Scilla, Giovanni, Solombrino, Francesco

论文摘要

从$γ$ - 会议的意义上讲,在任何维度$ d \ geq1 $中,近似值,具有$ p- $增长($ p> 1 $)的对称梯度,是由非局部积分功能的顺序提供的。

An approximation, in the sense of $Γ$-convergence and in any dimension $d\geq1$, of Griffith-type functionals, with $p-$growth ($p>1$) in the symmetrized gradient, is provided by means of a sequence of non-local integral functionals depending on the average of the symmetrized gradients on small balls.

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