Parabolic Harnack inequality for the heat equation with inverse-square potential
A parabolic Harnack inequality for the equation is proved; in particular, this implies a sharp two-sided estimate for the associated heat kernel. Our approach relies on the unitary equivalence between the Schrödinger operator and the weighted Laplacian when .
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| Veröffentlicht in: | Forum mathematicum 2007-05, Vol.19 (3), p.407-427 |
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| container_end_page | 427 |
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| container_issue | 3 |
| container_start_page | 407 |
| container_title | Forum mathematicum |
| container_volume | 19 |
| creator | Moschini, Luisa Tesei, Alberto |
| description | A parabolic Harnack inequality for the equation is proved; in particular, this implies a sharp two-sided estimate for the associated heat kernel. Our approach relies on the unitary equivalence between the Schrödinger operator and the weighted Laplacian when . |
| doi_str_mv | 10.1515/FORUM.2007.017 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0933-7741 |
| ispartof | Forum mathematicum, 2007-05, Vol.19 (3), p.407-427 |
| issn | 0933-7741 1435-5337 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_743726907 |
| source | De Gruyter journals |
| title | Parabolic Harnack inequality for the heat equation with inverse-square potential |
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