The "hot spots" conjecture on the Vicsek set

Abstract: 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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
The "hot spots" conjecture on the Vicsek set ; volume:52 ; number:1 ; year:2019 ; pages:61-81 ; extent:21
Demonstratio mathematica ; 52, Heft 1 (2019), 61-81 (gesamt 21)

Creator
Ionescu, Marius
Savage, Thomas L.

DOI
10.1515/dema-2019-0003
URN
urn:nbn:de:101:1-2411181458118.514456842807
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:22 AM CEST

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Associated

  • Ionescu, Marius
  • Savage, Thomas L.

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