An application to Kato's square root problem (Q1607831)

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scientific article; zbMATH DE number 1780330
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An application to Kato's square root problem
scientific article; zbMATH DE number 1780330

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    An application to Kato's square root problem (English)
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    13 August 2002
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    Summary: We find all complex potentials \(Q\) such that the general Schrödinger operator on \(\mathbb{R}^n\), given by \(L = - \Delta + Q\), where \(\Delta\) is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where \(Q \in L_{\text{loc}}^1(\Omega)\).
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    Schrödinger operator
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    Laplace differential operator
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    Kato's square problem
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