一些分形折叠上能量空间的密度结果

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen 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))。

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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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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.