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Separation Problem for Second Order Elliptic Differential Operators on Riemannian Manifolds
Faculty
Science
Year:
2015
Type of Publication:
ZU Hosted
Pages:
229-240
Authors:
Hany Ahmed Atia Abdelrahman
Staff Zu Site
Abstract In Staff Site
Journal:
Journal of Computational Analysis and Applications Journal of Computational Analysis and Applications
Volume:
19
Keywords :
Separation Problem , Second Order Elliptic Differential Operators
Abstract:
In this paper we aim to study the separation problem for the second order elliptic differential expression of the form E = 4M +bi @2 @xi2 +q; with the real-valued positive continuous functions bi; on a complete Riemannian manifold (M;
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, "Essential Self-adjointness for Covariant Tri-Harmonic Operators on Manifolds and the Separation Problem", DergiPark, 2022
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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, "Inequalities and separation for the Laplace Beltrami differential operator in Hilbert spaces", Journal of Mathematical Analysis and Applications, 2007
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