The strong maximum principle for Schrödinger operators on fractals
Abstract: 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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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The strong maximum principle for Schrödinger operators on fractals ; volume:52 ; number:1 ; year:2019 ; pages:404-409 ; extent:6
Demonstratio mathematica ; 52, Heft 1 (2019), 404-409 (gesamt 6)
- Urheber
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Ionescu, Marius V.
Okoudjou, Kasso A.
Rogers, Luke G.
- DOI
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10.1515/dema-2019-0034
- URN
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urn:nbn:de:101:1-2411181502146.670091703539
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 15.08.2025, 07:29 MESZ
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Beteiligte
- Ionescu, Marius V.
- Okoudjou, Kasso A.
- Rogers, Luke G.
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