scholarly journals The "hot spots" conjecture on the Vicsek set

2019 ◽  
Vol 52 (1) ◽  
pp. 61-81
Author(s):  
Marius Ionescu ◽  
Thomas L. Savage
Keyword(s):  
Hot Spots ◽  
Smallest Eigenvalue ◽  
Neumann Laplacian ◽  
Hot Spots Conjecture

AbstractWe 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.

scholarly journals On the “Hot Spots” Conjecture of J. Rauch

1999 ◽  
Vol 164 (1) ◽  
pp. 1-33 ◽  
Author(s):  
Rodrigo Banuelos ◽  
Krzysztof Burdzy
Keyword(s):  
Hot Spots ◽  
Hot Spots Conjecture

A Counterexample to the “Hot Spots” Conjecture on Nested Fractals

2017 ◽  
Vol 24 (1) ◽  
pp. 210-225 ◽  
Author(s):  
Ka-Sing Lau ◽  
Xiao-Hui Li ◽  
Huo-Jun Ruan
Keyword(s):  
Hot Spots ◽  
Hot Spots Conjecture

scholarly journals A Counterexample to the "Hot Spots" Conjecture

1999 ◽  
Vol 149 (1) ◽  
pp. 309 ◽  
Author(s):  
Krzysztof Burdzy ◽  
Wendelin Werner
Keyword(s):  
Hot Spots ◽  
Hot Spots Conjecture

Hot spots conjecture for a class of acute triangles

2015 ◽  
Vol 280 (3-4) ◽  
pp. 783-806 ◽  
Author(s):  
Bartłomiej Siudeja
Keyword(s):  
Hot Spots ◽  
Hot Spots Conjecture

An inequality for potentials and the 'hot-spots' conjecture

2004 ◽  
Vol 53 (1) ◽  
pp. 35-48 ◽  
Author(s):  
Rodrigo Banuelos ◽  
Michael Pang
Keyword(s):  
Hot Spots ◽  
Hot Spots Conjecture
Sign in / Sign up

Export Citation Format

Share Document