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On some new spectral estimates for Schrödinger-like operators - MaRDI portal

On some new spectral estimates for Schrödinger-like operators (Q2501215)

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On some new spectral estimates for Schrödinger-like operators
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    On some new spectral estimates for Schrödinger-like operators (English)
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    4 September 2006
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    The author proves an analog of the Cwikel-Lieb-Rozenblum estimate for a wide class of second-order elliptic operators by means of two different analytic tools. The first one rely on the Lieb-Thirring inequalities for Schrödinger operators with matrix-valued potentials, while the second is based on the Sobolev inequalities for warped product spaces.
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    CLR estimates
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    Lieb-Thirring inequality
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    Warped product
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    Schrödinger operator
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