Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications
We consider higher order Schrödinger type operators with nonnegative potentials. We assume that the potential belongs to the reverse Hölder class which includes nonnegative polynomials. We establish estimates of the fundamental solution and show Lp boundedness of some Schrödinger type operators.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/435480 |
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| _version_ | 1832549537928970240 |
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| author | Satoko Sugano |
| author_facet | Satoko Sugano |
| author_sort | Satoko Sugano |
| collection | DOAJ |
| description | We consider higher order Schrödinger type operators with nonnegative potentials. We assume that the potential belongs to the reverse Hölder class which includes nonnegative polynomials. We establish estimates of the fundamental solution and show Lp boundedness of some Schrödinger type operators. |
| format | Article |
| id | doaj-art-bbb091fb87914615918ec1c3689c3513 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-bbb091fb87914615918ec1c3689c35132025-02-03T06:11:02ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/435480435480Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their ApplicationsSatoko Sugano0Kobe City College of Technology, 8-3 Gakuen-higashimachi, Nishi-ku, Kobe 651-2194, JapanWe consider higher order Schrödinger type operators with nonnegative potentials. We assume that the potential belongs to the reverse Hölder class which includes nonnegative polynomials. We establish estimates of the fundamental solution and show Lp boundedness of some Schrödinger type operators.http://dx.doi.org/10.1155/2013/435480 |
| spellingShingle | Satoko Sugano Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications Journal of Function Spaces and Applications |
| title | Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications |
| title_full | Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications |
| title_fullStr | Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications |
| title_full_unstemmed | Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications |
| title_short | Estimates of the Fundamental Solution for Higher Order Schrödinger Type Operators and Their Applications |
| title_sort | estimates of the fundamental solution for higher order schrodinger type operators and their applications |
| url | http://dx.doi.org/10.1155/2013/435480 |
| work_keys_str_mv | AT satokosugano estimatesofthefundamentalsolutionforhigherorderschrodingertypeoperatorsandtheirapplications |