The "hot spots" conjecture on the Vicsek set

• Autorzy: Ionescu, Marius , Savage, Thomas L.
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

PL

analiza fraktalna; gorące punkty; zestaw Vicseka; zbiór Vicseka

EN

analysis on fractals; hot spots conjecture; Vicsek set

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2019
• Tom: Vol. 52, nr 1
• Strony: 61--81
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr.

Twórcy

autor

Ionescu, Marius

• Department of Mathematics, United States Naval Academy, Annapolis, MD 21402 USA,

autor

Savage, Thomas L.

• United States Navy,

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).

Identyfikatory

DOI

10.1515/dema-2019-0003