scholarly journals Calderón's Reproducing Formula Associated with the Bessel Operator

1998 ◽  
Vol 219 (1) ◽  
pp. 97-109 ◽  
Author(s):  
Mohamed Ali Mourou ◽  
Khalifa Trimèche
Keyword(s):  
Bessel Operator ◽  
Calderón’S Reproducing Formula

On partial Fourier–Bessel operator in higher dimension

2019 ◽  
Vol 31 (6) ◽  
pp. 424-436
Author(s):  
Selma Negzaoui ◽  
Mohamed Sifi
Keyword(s):  
Bessel Operator ◽  
Higher Dimension

scholarly journals On initial boundary value problem with Dirichlet integral conditions for a hyperbolic equation with the Bessel operator

2003 ◽  
Vol 2003 (10) ◽  
pp. 487-502
Author(s):  
Abdelfatah Bouziani
Keyword(s):  
Hyperbolic Equation ◽  
A Priori ◽  
Weighted Sobolev Spaces ◽  
A Priori Estimate ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Generalized Solution ◽  
Bessel Operator ◽  
Integral Conditions ◽  
Initial Boundary Value

We consider a mixed problem with Dirichlet and integral conditions for a second-order hyperbolic equation with the Bessel operator. The existence, uniqueness, and continuous dependence of a strongly generalized solution are proved. The proof is based on an a priori estimate established in weighted Sobolev spaces and on the density of the range of the operator corresponding to the abstract formulation of the considered problem.

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