On the Fredholm radius of integral operators of potential theory

1993 ◽  
Vol 64 (6) ◽  
pp. 1297-1313 ◽  
Author(s):  
N. V. Grachev ◽  
V. G. Maz'ya
Keyword(s):  
Potential Theory ◽  
Integral Operators ◽  
Fredholm Radius

On the spectra of some integral operators related to the potential theory in the plane

2010 ◽  
Vol 33 (14) ◽  
pp. 1685-1691 ◽  
Author(s):  
Oleg F. Gerus ◽  
Vladimir N. Kutrunov ◽  
Michael Shapiro
Keyword(s):  
Potential Theory ◽  
Integral Operators

scholarly journals Some spectral properties of an integral operator in potential theory

1986 ◽  
Vol 29 (3) ◽  
pp. 405-411 ◽  
Author(s):  
John F. Ahner
Keyword(s):  
Potential Theory ◽  
Spectral Properties ◽  
Three Dimensional ◽  
Single Layer ◽  
Integral Operators ◽  
Normal Derivative ◽  
Potential Operator ◽  
Single Layer Potential ◽  
Layer Potential ◽  
Integral Equation Methods

In [7] Plemelj established some fundamental results in two- and three-dimensional potential theory about the eigenvalues of both the double layer potential operator and its adjoint, the normal derivative of the single layer potential operator. In [3] Blumenfeld and Mayer established some additional results concerning the eigenvalues of these integral operators in the case of ℝ2. The spectral properties established by Plemelj [7] and by Blumenfeld and Mayer [3] have had a profound effect in the area of integral equation methods in scattering and potential theory in both ℝ2 and ℝ3.

Spectral Properties of Some Integral Operators Arising in Potential Theory

1992 ◽  
Vol 43 (4) ◽  
pp. 387-407 ◽  
Author(s):  
J. M. Anderson ◽  
D. Khavinson ◽  
V. Lomonosov
Keyword(s):  
Potential Theory ◽  
Spectral Properties ◽  
Integral Operators
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