An integral equation method for a boundary value problem in superconductivity

2004 ◽  
Vol 27 (14) ◽  
pp. 1725-1743 ◽  
Author(s):  
Harald Heese
Keyword(s):  
Integral Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Integral Equation Method ◽  
Equation Method

The treatment of a Neumann boundary value problem for force-free fields by an integral equation method

1978 ◽  
Vol 82 (1-2) ◽  
pp. 71-86 ◽  
Author(s):  
Rainer Kress
Keyword(s):  
Integral Equation ◽  
Boundary Value Problem ◽  
Vector Fields ◽  
Integral Formula ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Integral Equation Method ◽  
Equation Method ◽  
Fredholm Alternative ◽  
Neumann Boundary Value Problem

SynopsisA Neumann boundary value problem for the equation rot μ − λμ = u is considered. The approach is by an integral equation method based on Cauchy's integral formula for generalized harmonic vector fields. Results on existence and uniqueness are obtained in terms of the familiar Fredholm alternative.

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