The strong maximum principle for Schrödinger operators on fractals

Autor:	Ionescu Marius V., Okoudjou Kasso A., Rogers Luke G.
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	analysis on fractals harnack’s inequality maximum principles sierpiński gasket schrödinger operators primary 35j15 28a80 secondary 35j25 Mathematics QA1-939
Zdroj:	Demonstratio Mathematica, Vol 52, Iss 1, Pp 404-409 (2019)
Druh dokumentu:	article
ISSN:	2391-4661 2019-0034
DOI:	10.1515/dema-2019-0034
Popis:	We prove a strong maximum principle for Schrödinger operators defined on a class of postcritically finite fractal sets and their blowups without boundary. Our primary interest is in weaker regularity conditions than have previously appeared in the literature; in particular we permit both the fractal Laplacian and the potential to be Radon measures on the fractal. As a consequence of our results, we establish a Harnack inequality for solutions of these operators.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/0963a715ca47455388b2d59d317efc7c Zobrazit plný text záznamu View record in DOAJ