Caractérisation des ensembles essentiels

Caractérisation des ensembles essentiels

In this work we study the essential sets for some Kato measure in (R^{d}-\{0\}), d\geq 2 . Using the caracterisation of Picard principle via the Green kernel associated to the Schrödinger operator \Delta-\mu ; we give a new caracterisation of such sets when \mu=(f(.)/||.||)^{2}\lambda where f is ass...

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Veröffentlicht in:Journal of the Mathematical Society of Japan 2002, Vol.54 (2), p.467-486
Hauptverfasser: BENYAICHE, Allami, ELGOURARI, Aiad
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Sprache:eng
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31B25
31Bxx
35Q40
essential set
Picard principle
Schr\"{o}dinger equation
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creator BENYAICHE, Allami
ELGOURARI, Aiad
description In this work we study the essential sets for some Kato measure in (R^{d}-\{0\}), d\geq 2 . Using the caracterisation of Picard principle via the Green kernel associated to the Schrödinger operator \Delta-\mu ; we give a new caracterisation of such sets when \mu=(f(.)/||.||)^{2}\lambda where f is assumed to be rotation free nonnegative, decreasing and locally Hölder continuous on \{0
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subjects 31B25
31Bxx
35Q40
essential set
Picard principle
Schr\"{o}dinger equation
title Caractérisation des ensembles essentiels
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