一些分形折叠上能量空间的密度结果

Pub Date : 2015-07-08 DOI:10.4171/ZAA/1544

M. R. Lancia, Valerio Regis Durante, P. Vernole

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引用次数: 8

摘要

．本文证明了定义在尺度不规则分形曲面S ((cid:24))和相应的三维有界圆柱域Q ((cid:24))上的能量形式域的密度结果，其横向边界为S ((cid:24))。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Density results for energy spaces on some fractafolds

. In this paper we prove density results for the domains of energy forms deﬁned on a scale irregular fractal surface S ( (cid:24) ) , as well as on the corresponding three-dimensional bounded cylindrical domain Q ( (cid:24) ) , whose lateral boundary is S ( (cid:24) ) .

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