Multicenter integrals over polarization potential operators

1999 ◽  
Vol 73 (5) ◽  
pp. 403-416 ◽  
Author(s):  
Michael J. Smit
Keyword(s):  
Polarization Potential ◽  
Multicenter Integrals ◽  
Potential Operators

scholarly journals Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions

2020 ◽  
Vol 23 (2) ◽  
pp. 378-389
Author(s):  
Ferenc Izsák ◽  
Gábor Maros
Keyword(s):  
Fractional Order ◽  
Boundary Data ◽  
Dirichlet Boundary ◽  
Elliptic Problems ◽  
Integral Form ◽  
Uniqueness Result ◽  
Boundary Integral ◽  
Dirichlet Boundary Conditions ◽  
Two Dimensional ◽  
Potential Operators

AbstractFractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model. The corresponding theory is completed by sharpening the mapping properties of the corresponding potential operators. The existence-uniqueness result is stated also for two-dimensional domains. Finally, a mild condition is provided to ensure the existence of the classical solution of the boundary integral equation.

scholarly journals Short range polarization potential for positron molecule scattering

2012 ◽  
Vol 388 (5) ◽  
pp. 052021 ◽  
Author(s):  
W Tenfen ◽  
K T Mazon ◽  
S E Michelin ◽  
J R Mohallem ◽  
D Assafrão
Keyword(s):  
Short Range ◽  
Polarization Potential ◽  
Molecule Scattering

scholarly journals Potential Operators on Cones of Nonincreasing Functions

2012 ◽  
Vol 2012 ◽  
pp. 1-26 ◽  
Author(s):  
Alexander Meskhi ◽  
Ghulam Murtaza
Keyword(s):  
Mixed Type ◽  
Sufficient Conditions ◽  
Product Type ◽  
Necessary And Sufficient Conditions ◽  
Lebesgue Spaces ◽  
Potential Operators ◽  
Right Hand ◽  
The Right ◽  
Necessary And Sufficient

Necessary and sufficient conditions on weight pairs guaranteeing the two-weight inequalities for the potential operators(Iαf)(x)=∫0∞(f(t)/|x−t|1−α)dtand(ℐα1,α2f)(x,y)=∫0∞∫0∞(f(t,τ)/|x−t|1−α1|y−τ|1−α2)dtdτon the cone of nonincreasing functions are derived. In the case ofℐα1,α2, we assume that the right-hand side weight is of product type. The same problem for other mixed-type double potential operators is also studied. Exponents of the Lebesgue spaces are assumed to be between 1 and ∞.

A dynamic polarization potential for heavy-ion scattering

1977 ◽  
Vol 291 (1) ◽  
pp. 183-205 ◽  
Author(s):  
W.G. Love ◽  
T. Terasawa ◽  
G.R. Satchler
Keyword(s):  
Heavy Ion ◽  
Polarization Potential ◽  
Dynamic Polarization ◽  
Ion Scattering ◽  
Heavy Ion Scattering
Sign in / Sign up

Export Citation Format

Share Document