The "hot spots" conjecture on the Vicsek set

Demonstratio mathematica

article

Marius Ionescu¹  Thomas L. Savage² 

[1] Department of Mathematics, United States Naval Academy;United States Navy

关键词: analysis on fractals;    hot spots conjecture;    Vicsek Set;   

DOI  :  10.1515/dema-2019-0003

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

We prove the “hot spots” conjecture on the Vicsek set. Specifically, we will show that every eigenfunction of the second smallest eigenvalue of the Neumann Laplacian on the Vicsek set attains its maximum and minimum on the boundary.

【 授权许可】

CC BY