Caractérisation des ensembles essentiels

• BENYAICHE Allami

  Université IBN TOFAIL Faculté des Sciences de Kénitra

• ELGOURARI Aiad

  Université IBN TOFAIL Faculté des Sciences de Kénitra

Bibliographic Information

Other Title

• Caracterisation des ensembles essentiels

Abstract

In this work we study the essential sets for some Kato measure in (\bm{R}^d-{0}), d≥q 2. Using the caracterisation of Picard principle via the Green kernel associated to the Schrödinger operator Δ-μ; we give a new caracterisation of such sets when μ=(f(.)/\left//.\right//)²λ where f is assumed to be rotation free nonnegative, decreasing and locally Hölder continuous on {0<\left//x\right//≤ 1}. In particular we obtain results given by T. Tada in the case where d=2 and f(r)=-log r

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 54 (2), 467-486, 2002

  The Mathematical Society of Japan

Keywords

• Schrödinger equation
• essential set
• Picard principle

Details

• CRID: 1390001205114373120
• NII Article ID: 10008205055
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05420467
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1883527
• NDL BIB ID: 6153550
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6153550
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed