A generalization related to Schrödinger operators with a singular potential
The purpose of this note is to generalize a result related to the Schrödinger operator L=−Δ+Q, where Q is a singular potential. Indeed, we show that D(L)={0} in L2(ℝd) for d≥4. This fact answers to an open question that we formulated.
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| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007974 |
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doaj-d0759626c4c54281aba23539f56af5602020-11-24T23:54:13ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01291060961110.1155/S0161171202007974A generalization related to Schrödinger operators with a singular potentialToka Diagana0Department of Mathematics, Howard University, 2441 Sixth Street, NW, Washington, DC 20059, USAThe purpose of this note is to generalize a result related to the Schrödinger operator L=−Δ+Q, where Q is a singular potential. Indeed, we show that D(L)={0} in L2(ℝd) for d≥4. This fact answers to an open question that we formulated.http://dx.doi.org/10.1155/S0161171202007974 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Toka Diagana |
| spellingShingle |
Toka Diagana A generalization related to Schrödinger operators with a singular potential International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Toka Diagana |
| author_sort |
Toka Diagana |
| title |
A generalization related to Schrödinger operators with a singular potential |
| title_short |
A generalization related to Schrödinger operators with a singular potential |
| title_full |
A generalization related to Schrödinger operators with a singular potential |
| title_fullStr |
A generalization related to Schrödinger operators with a singular potential |
| title_full_unstemmed |
A generalization related to Schrödinger operators with a singular potential |
| title_sort |
generalization related to schrödinger operators with a singular potential |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
The purpose of this note is to generalize a result related to the Schrödinger operator L=−Δ+Q, where Q is a singular
potential. Indeed, we show that D(L)={0} in L2(ℝd) for d≥4. This fact answers to an open question that we formulated. |
| url |
http://dx.doi.org/10.1155/S0161171202007974 |
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AT tokadiagana ageneralizationrelatedtoschrodingeroperatorswithasingularpotential AT tokadiagana generalizationrelatedtoschrodingeroperatorswithasingularpotential |
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1725466729030615040 |