Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato Class
<p/> <p>We define a notion of Kato class of measures relative to a Riemannian strongly local <inline-formula><graphic file="1687-2770-2007-024806-i2.gif"/></inline-formula>-homogeneous Dirichlet form and we prove a Harnack inequality (on balls that are small e...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2007-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2007/024806 |
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doaj-dab6e8bd6fa443d091ac00816c0acc062020-11-24T21:32:26ZengSpringerOpenBoundary Value Problems1687-27621687-27702007-01-0120071024806Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato ClassMarchi SilvanaBiroli Marco<p/> <p>We define a notion of Kato class of measures relative to a Riemannian strongly local <inline-formula><graphic file="1687-2770-2007-024806-i2.gif"/></inline-formula>-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.</p>http://www.boundaryvalueproblems.com/content/2007/024806 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Marchi Silvana Biroli Marco |
| spellingShingle |
Marchi Silvana Biroli Marco Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato Class Boundary Value Problems |
| author_facet |
Marchi Silvana Biroli Marco |
| author_sort |
Marchi Silvana |
| title |
Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato Class |
| title_short |
Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato Class |
| title_full |
Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato Class |
| title_fullStr |
Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato Class |
| title_full_unstemmed |
Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-Homogeneous Forms with a Potential in the Kato Class |
| title_sort |
harnack inequality for the schrödinger problem relative to strongly local riemannian <inline-formula><graphic file="1687-2770-2007-024806-i1.gif"/></inline-formula>-homogeneous forms with a potential in the kato class |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2007-01-01 |
| description |
<p/> <p>We define a notion of Kato class of measures relative to a Riemannian strongly local <inline-formula><graphic file="1687-2770-2007-024806-i2.gif"/></inline-formula>-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.</p> |
| url |
http://www.boundaryvalueproblems.com/content/2007/024806 |
| work_keys_str_mv |
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1725957544149516288 |