Essential Self-adjointness for Covariant Tri-Harmonic Operators on Manifolds and the Separation Problem

Faculty Science Year: 2022
Type of Publication: ZU Hosted Pages: 1321-1332
Authors:
Hany Ahmed Atia Abdelrahman
Journal: Hacettepe Journal of Mathematics and Statistics DergiPark Volume: 51
Keywords : Essential Self-adjointness , Covariant Tri-Harmonic Operators , Manifolds    
Abstract:
Consider the tri-harmonic differential expression: L_V^\nabla u={(\nabla^+\nabla)}^3u+Vu on sections of a Hermitian vector bundle over a complete Riemannian manifold (M,g) with metric g, where ∇ is a metric covariant derivative on bundle E
    
     
 
       

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  • Hany Ahmed Atia Abdelrahman, "Separation Problem for Bi-Harmonic Differential Operators in Lp-Spaces on Manifolds", springer, 2019 More
  • Hany Ahmed Atia Abdelrahman, "On separability of non-linear Schrodinger operators with matrix potentials", De Gruyter, 2022 More
  • Hany Ahmed Atia Abdelrahman, "Magnetic Bi-Harmonic Differential Operators on Riemannian Manifolds and the Separation Problem", Journal of Contemporary Mathematical Analysis, 2016 More
  • 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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