Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class
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....
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2007-02-01
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Series: | Boundary Value Problems |
Online Access: | http://dx.doi.org/10.1155/2007/24806 |
Summary: | 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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ISSN: | 1687-2762 1687-2770 |