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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
Staff Zu Site
Abstract In Staff Site
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
Author Related Publications
Hany Ahmed Atia Abdelrahman, "Separation Problem for Bi-Harmonic Differential Operators in Lp-Spaces on Manifolds", springer, 2019
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Hany Ahmed Atia Abdelrahman, "On separability of non-linear Schrodinger operators with matrix potentials", De Gruyter, 2022
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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
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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
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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
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Department Related Publications
Fawzia Mahmoud Salim Mustafa, "Rough sets via syntopogenous structures", ICELAND GLACIOLOGICAL SOC, PO BOX, 2013
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Huda Ibrahim Sayed Ahmad, "Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics Using the Modified Simple Equation Method,", الصين, 2012
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Hassan Mostafa Metwally, "Fuzzy simple expansion", ELSEVIER, 2010
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Hassan Mostafa Metwally, "Common fixed point theorems for Hybrid mappings in fuzzy metric spaces", Los Angeles, 2010
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Hassan Mostafa Metwally, "Common Fixed Point Theorems of Single and Set-Valued Mappings on 2-Metric Spaces", Dixie W Publishing Corporation, U. S. A., 2007
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