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

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....

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Main Authors: Silvana Marchi, Marco Biroli
Format: Article
Language:English
Published: SpringerOpen 2007-02-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2007/24806
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spelling doaj-1b867777354246f2b9584ef47f7b128a2020-11-24T20:53:34ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-02-01200710.1155/2007/24806Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato ClassSilvana MarchiMarco BiroliWe 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.http://dx.doi.org/10.1155/2007/24806
collection DOAJ
language English
format Article
sources DOAJ
author Silvana Marchi
Marco Biroli
spellingShingle Silvana Marchi
Marco Biroli
Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class
Boundary Value Problems
author_facet Silvana Marchi
Marco Biroli
author_sort Silvana Marchi
title Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class
title_short Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class
title_full Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class
title_fullStr Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class
title_full_unstemmed Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class
title_sort harnack inequality for the schrãƒâ¶dinger problem relative to strongly local riemannian p-homogeneous forms with a potential in the kato class
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2007-02-01
description 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.
url http://dx.doi.org/10.1155/2007/24806
work_keys_str_mv AT silvanamarchi harnackinequalityfortheschraƒadingerproblemrelativetostronglylocalriemannianphomogeneousformswithapotentialinthekatoclass
AT marcobiroli harnackinequalityfortheschraƒadingerproblemrelativetostronglylocalriemannianphomogeneousformswithapotentialinthekatoclass
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