Radial symmetry for a weighted integral equation of Wolff type

2021 ◽  
Vol 115 ◽  
pp. 106951
Author(s):  
Huantong Chen ◽  
Xiang Li ◽  
Minbo Yang
Keyword(s):  
Integral Equation ◽  
Radial Symmetry ◽  
Weighted Integral

A NOTE ON RADIAL SYMMETRY FOR AN INTEGRAL EQUATION OF WOLFF TYPE

2019 ◽  
Vol 100 (2) ◽  
pp. 323-327
Author(s):  
YUN WANG ◽  
LIXIN TIAN
Keyword(s):  
Integral Equation ◽  
Positive Solutions ◽  
Radial Symmetry

We prove that positive solutions of an integral equation of Wolff type are radially symmetric and decreasing about some point in$R^{n}$. The hypotheses allow a wider range of exponents and are easier to apply than those in previous work.

Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method

2010 ◽  
Vol 65 (8-9) ◽  
pp. 677-682 ◽  
Author(s):  
Sunil Kumar ◽  
Om P. Singh
Keyword(s):  
Integral Equation ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Radial Symmetry ◽  
Cone Beam ◽  
Line Of Sight ◽  
Numerical Inversion ◽  
Abel Inversion ◽  
Homotopy Perturbation ◽  
Type Integral

Many problems in physics like reconstruction of the radially distributed emissivity from the line-of-sight projected intensity, the 3-D image reconstruction from cone-beam projections in computerized tomography, etc. lead naturally, in the case of radial symmetry, to the study of Abel’s type integral equation. The aim of this communication is to propose a new algorithm for the Abel inversion by using the homotopy perturbation method

AN INTEGRAL EQUATION APPROACH TO PHASE TRANSITIONS IN FERROFLUIDS

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-1847-C8-1848
Author(s):  
G. A. R. Martin ◽  
A. Bradbury ◽  
R. W. Chantrell
Keyword(s):  
Integral Equation ◽  
Phase Transitions ◽  
Equation Approach ◽  
Integral Equation Approach
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