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Operateur de Schrodinger avec potentiel singulier multi-polaire (Schrodinger operator with a potential including several inverse-square singularities)

Thomas Duyckaerts
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Abstract

Let P be the operator $-Δ+V$ on R^d, where $V$ is a real potential with several inverse square singularities. The usual non-trapping type high-frequency inequality on the truncated resolvent of $P$ is shown, using semi-classical measures. This inequality implies local smoothing effect on the corresponding Schrodinger equation.

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Thomas Duyckaerts. 2004-02-24. Operateur de Schrodinger avec potentiel singulier multi-polaire (Schrodinger operator with a potential including several inverse-square singularities). https://arxiv.org/abs/math/0402392

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