Separation Problem for Bi-Harmonic Differential Operators in Lp-Spaces on Manifolds

Faculty Science Year: 2019
Type of Publication: ZU Hosted Pages:
Authors:
Hany Ahmed Atia Abdelrahman
Journal: Journal of the Egyptian Mathematical Society springer Volume:
Keywords : Separation Problem , Bi-Harmonic Differential Operators , Lp-Spaces    
Abstract:
Consider the bi-harmonic differential expression of the form A=∆M2+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 Everit
    
     
 
       

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  • Hany Ahmed Atia Abdelrahman, "Magnetic Bi-Harmonic Differential Operators on Riemannian Manifolds and the Separation Problem", Journal of Contemporary Mathematical Analysis, 2016 More
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  • Hany Ahmed Atia Abdelrahman, "Inequalities and separation for the Laplace Beltrami differential operator in Hilbert spaces", Journal of Mathematical Analysis and Applications, 2007 More

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