An application to Kato's square root problem
We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where Q∈Lloc1(Ω).
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007706 |
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| _version_ | 1832564244377239552 |
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| author | Toka Diagana |
| author_facet | Toka Diagana |
| author_sort | Toka Diagana |
| collection | DOAJ |
| description | We find all complex potentials Q such that the
general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where
Q∈Lloc1(Ω). |
| format | Article |
| id | doaj-art-1769d9b11514469789d40abbe7eee91f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1769d9b11514469789d40abbe7eee91f2025-02-03T01:11:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129317918110.1155/S0161171202007706An application to Kato's square root problemToka Diagana0Department of Mathematics, Howard University, 2441, Sixth Street, NW, Washington, DC 20059, USAWe find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where Q∈Lloc1(Ω).http://dx.doi.org/10.1155/S0161171202007706 |
| spellingShingle | Toka Diagana An application to Kato's square root problem International Journal of Mathematics and Mathematical Sciences |
| title | An application to Kato's square root problem |
| title_full | An application to Kato's square root problem |
| title_fullStr | An application to Kato's square root problem |
| title_full_unstemmed | An application to Kato's square root problem |
| title_short | An application to Kato's square root problem |
| title_sort | application to kato s square root problem |
| url | http://dx.doi.org/10.1155/S0161171202007706 |
| work_keys_str_mv | AT tokadiagana anapplicationtokatossquarerootproblem AT tokadiagana applicationtokatossquarerootproblem |