Opérateur de Schrödinger avec potentiel singulier multi-polaireSchrödinger operator with a potential including several inverse-square singularitiesReport as inadecuate




Opérateur de Schrödinger avec potentiel singulier multi-polaireSchrödinger operator with a potential including several inverse-square singularities - Download this document for free, or read online. Document in PDF available to download.

1 LM-Orsay - Laboratoire de Mathématiques d-Orsay

Abstract : Let P be the operator $-\Delta+V$ on R^d, where $V$ is a realpotential with several inverse square singularities. The usual non-trappingtype high-frequency inequality on the truncated resolvent of $P$ is shown, using semi-classical measures. This inequality implies local smoothing effect on the corresponding Schrödinger equation.

Mots-clés : resolvent inverse-square potential semi-classique résolvante inverse quadratique potentiel Schrödinger





Author: Thomas Duyckaerts -

Source: https://hal.archives-ouvertes.fr/



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