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A generalization related to Schrödinger operatorswith a singular potential - MaRDI portal

A generalization related to Schrödinger operatorswith a singular potential (Q1607891)

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scientific article; zbMATH DE number 1780380
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A generalization related to Schrödinger operatorswith a singular potential
scientific article; zbMATH DE number 1780380

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    A generalization related to Schrödinger operatorswith a singular potential (English)
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    13 August 2002
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    Summary: The purpose of this note is to generalize a result related to the Schrödinger operator \(L= - \Delta + Q\), where \(Q\) is a singular potential. Indeed, we show that \(D(L) = \{0\}\) in \(L^2(\mathbb{R}^d)\) for \(d \geq 4\). This fact answers to an open question that we formulated.
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