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- W1995230408 abstract "We study in this paper a free boundary value problem (FB), where a region Go in R3 is determined by the condition that there exists a vector field vo in Go which satisfies div vo = eo, curl vo = go in Go and vo = E on the boundary ∂Go with a given scalar function eo and given vector fields go and E. We give two equivalent formulations for this problem. Then we characterize the solutions by a non-linear integral equation. In order to solve the latter by a Newton method we linearize this equation. We investigate the ensuing linear integral equation. In case of axisymmetric configurations this is a singular integral equation whose index can be easily determined from the given data. We obtain a related equation, if we try to construct a field v in a region G which is on the boundary perpendicular to a given field B. Finally we use this method to investigate an astrophysical problem, which arises in the theory of pulsar magnetospheres." @default.
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- W1995230408 date "1987-01-01" @default.
- W1995230408 modified "2023-09-29" @default.
- W1995230408 title "A free boundary problem for three-dimensional harmonic vector fields" @default.
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- W1995230408 doi "https://doi.org/10.1002/mma.1670090128" @default.
- W1995230408 hasPublicationYear "1987" @default.
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