On the absolutely continuous spectrum of the Laplace–Beltrami operator acting on  p  ‐forms for a class of warped product metrics | Zendy

Antoci Francesca | Zendy

Premium

On the absolutely continuous spectrum of the Laplace–Beltrami operator acting on p ‐forms for a class of warped product metrics

Author(s) -

Antoci Francesca

Publication year - 2006

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200410452

Subject(s) - mathematics , laplace–beltrami operator , spectrum (functional analysis) , laplace transform , absolute continuity , operator (biology) , product (mathematics) , class (philosophy) , pure mathematics , boundary (topology) , unit sphere , mathematical analysis , laplace operator , ball (mathematics) , boundary value problem , geometry , p laplacian , physics , quantum mechanics , biochemistry , chemistry , repressor , artificial intelligence , computer science , transcription factor , gene

We explicitely compute the absolutely continuous spectrum of the Laplace–Beltrami operator for p ‐forms for the class of warped product metrics dσ 2 = y 2 a dy 2 + y 2 b dθ 2 S N –1, where y is a boundary defining function on the unit ball B (0, 1) in ℝ N . (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research