The 'Hot Spots' Conjecture on the Vicsek Set

Autor:	Ionescu, Marius, Savage, Thomas L.
Rok vydání:	2018
Předmět:	Mathematics - Functional Analysis 47A75 28A80
Druh dokumentu:	Working Paper
Popis:	We prove the Hot Spot conjecture on the Vicsek set. Specifically, we 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. Comment: We made changes suggested by the anonymous referee and editors. The paper is accepted for publication in the Special Issue on Harmonic Analysis: Smooth and Non-Smooth, Demonstratio Mathematica
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1806.05275 Zobrazit plný text záznamu View this record from Arxiv