Magnetic Bi-Harmonic Differential Operators on Riemannian Manifolds and the Separation Problem

Faculty Science Year: 2016
Type of Publication: ZU Hosted Pages: 222-226
Authors:
Hany Ahmed Atia Abdelrahman
Journal: Journal of Contemporary Mathematical Analysis Journal of Contemporary Mathematical Analysis Volume: 51
Keywords : Magnetic Bi-Harmonic Differential Operators on Riemannian Manifolds    
Abstract:
In this paper we obtain sufficient conditions for the bi-harmonic differential operator A = 2 E + q to be separated in the space L2 (M) on a complete Riemannian manifold (M,g) with metric g, whereE is the magnetic Laplacian onM and q ≥
    
     
 
       

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  • Hany Ahmed Atia Abdelrahman, "Separation Problem for Bi-Harmonic Differential Operators in Lp-Spaces on Manifolds", springer, 2019 More
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  • Hany Ahmed Atia Abdelrahman, "Separation Problem for Second Order Elliptic Differential Operators on Riemannian Manifolds", Journal of Computational Analysis and Applications, 2015 More
  • 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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