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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Format: | Article |
Language: | English |
Published: |
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 |
Summary: | 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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ISSN: | 0161-1712 1687-0425 |