The strong maximum principle for Schrödinger operators on fractals

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...

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Bibliographic Details
Main Authors: Ionescu Marius V., Okoudjou Kasso A., Rogers Luke G.
Format: Article
Language:English
Published: De Gruyter 2019-09-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2019-0034

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