A counterexample to the hot spots conjecture
成果类型：
Article
署名作者：
Burdzy, K; Werner, W
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/121027
发表日期：
1999
页码：
309-317
关键词：
摘要：
We construct a counterexample to the hot spots conjecture; there exists a bounded connected planar domain (with two holes) such that the second eigenvalue of the Laplacian in that domain with Neumann boundary conditions is simple and such that the corresponding eigenfunction attains its strict maximum at an interior point of that domain.