The strong maximum principle for Schrödinger operators on fractals

DOI10.1515/dema-2019-0034zbMath1427.35022arXiv1902.05584OpenAlexW2977777285MaRDI QIDQ2332618

Kasso A. Okoudjou, Marius V. Ionescu, Luke G. Rogers

Publication date: 4 November 2019

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.05584

zbMATH Keywords

Harnack inequalitySchrödinger operators on fractal setsstrong maximaum princitple

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Fractals (28A80)

Cites Work

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• Dirichlet forms and symmetric Markov processes.
• Some properties of Laplacians on fractals
• Harmonic analysis for resistance forms.
• Estimates for the resolvent kernel of the Laplacian on p.c.f. self-similar fractals and blowups
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Elliptic Partial Differential Equations of Second Order
• Fractals in the Large
• Splines on fractals