集合上一类非局部泛函的渐近分析
Asymptotic analysis of a family of non-local functionals on sets
摘要：
研究了一类惩罚有限周长集与其补集之间卷积型短程相互作用的泛函族的渐近性态。我们首先计算点态极限，并在更多的正则集上得到一个较低的估计。最后，给出了一些算例。
英文摘要：
We study the asymptotic behavior of a family of functionals which penalize a short-range interaction of convolution type between a finite perimeter set and its complement. We first compute the pointwise limit and we obtain a lower estimate on more regulars sets. Finally, some examples are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
