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Good access to the crack and integrability of the full gradient for Griffith almost-minimizers in the plane

2026-07-21 · arXiv: 2607.19229

One-line summary

A solar energy research paper on Good access to the crack and integrability of the full gradient for Griffith almost-minimizers in the plane.

Engineering notes

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Chinese explanation / 中文解读

中文解读待补充:本站会优先为光伏效率、钙钛矿太阳能电池、储能技术、太阳能热利用、BIPV、并网技术等高价值论文补充中文说明。

Original abstract

We show that, for almost-minimizers of the Griffith energy in the plane, the complement of the crack is locally covered by a finite number of John domains where the displacement satisfies Hölder-type estimates. As a consequence, we derive the integrability of the full gradient and the finiteness of the traces along the crack. In particular, we show that any Griffith almost-minimizer in dimension two locally belongs to the space SBV^2.

5.0Engineering value
7.0Research novelty
4.0Business relevance

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