Convex domains and unique continuation at the boundary

被引：1

作者：

Adolfsson, Vilhelm ^{[1
]}

Escauriaza, Luis ^{[2
]}

Kenig, Carlos ^{[3
]}

机构：

[1] CTH, Matemat Inst, S-41296 Gothenburg, Sweden

[2] Univ Pais Vasco, Dept Matemat, Leioa 48080, Spain

[3] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

REVISTA MATEMATICA IBEROAMERICANA | 1995年 / 11卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a harmonic function which vanishes continuously on an open set of the boundary of a convex domain cannot have a normal derivative which vanishes on a subset of positive surface measure. We also prove a similar result for caloric functions vanishing on the lateral boundary of a convex cylinder.

引用

页码：513 / 525

页数：13

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