Separation Problem for Bi-Harmonic Differential Operators in L p − spaces on Manifolds

Abstract Consider the bi-harmonic differential expression of the form A=△M2+q $ A=\triangle _{M}^{2}+q\ $ on a manifold of bounded geometry (M,g) with metric g, where △ M is the scalar Laplacian on M and q≥0 is a locally integrable function on M. In the terminology of Everitt and Giertz, the differe...

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Bibliographic Details
Main Author: H. A. Atia
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://link.springer.com/article/10.1186/s42787-019-0029-6