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Paper
Uniqueness and existence of the solution to the static London-Maxwell equations in two dimensions
Abstract
A theorem is given for the existence and uniqueness of the time-independent solution of the exterior-interior problem associated with determining the distribution of superconducting current, according to the London model, in simply- or doubly-connected two-dimensional regions. The proof of the corresponding theorem in three dimensions is outlined. A discussion is also given of the relationship between two "different" solutions which already exist for rectangular regions.