Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class

Autor: Silvana Marchi, Marco Biroli
Jazyk: angličtina
Rok vydání: 2007
Předmět:
Zdroj: Boundary Value Problems, Vol 2007 (2007)
Druh dokumentu: article
ISSN: 1687-2762
1687-2770
DOI: 10.1155/2007/24806
Popis: We define a notion of Kato class of measures relative to a Riemannian strongly local p-homogeneous Dirichlet form and we prove a Harnack inequality (on balls that are small enough) for the positive solutions to a Schrödinger-type problem relative to the form with a potential in the Kato class.
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