scholarly journals Fourth order elliptic operator-differential equations with unbounded operator boundary conditions in the Sobolev-type spaces

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Eman S Al-Aidarous ◽  
Araz R Aliev ◽  
Elvin S Rzayev ◽  
Hassan A Zedan
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Elliptic Operator ◽  
Fourth Order ◽  
Unbounded Operator ◽  
Sobolev Type ◽  
Order Elliptic Operator ◽  
Sobolev Type Spaces ◽  
Type Spaces

scholarly journals Approximate solutions of equations defined by complex spherical multiplier operators

2005 ◽  
Vol 2005 (2) ◽  
pp. 93-115
Author(s):  
C. P. Oliveira
Keyword(s):  
Approximate Solutions ◽  
Positive Definite ◽  
Positive Definite Functions ◽  
Sobolev Type ◽  
Sobolev Type Spaces ◽  
Type Spaces ◽  
Solutions Of Equations ◽  
Multiplier Operators

This paper studies, in a partial but concise manner, approximate solutions of equations defined by complex spherical multiplier operators. The approximations are from native spaces embedded in Sobolev-type spaces and derived from the use of positive definite functions to perform spherical interpolation.

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