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

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

2004-02-24

arxiv.org/abs/math/0402392v1

Mathematics

Analysis of PDEs

Scientific paper

Let P be the operator $-\Delta+V$ 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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