Publisher's Synopsis
Excerpt from Boundary Values of Potential Functions Prescribed Along Interior Paths
We can say that Poisson's integral equation poses the problem of finding the boundary value of a function known to be harmonic in a half-plane when the boundary is inaccessible, but measurements can be taken along a line parallel to the boundary. This kind of problem arises in various physical investigations.' For example, the solution of the problem is of considerable value for the interpretations of observations derived from certain methods of geological prospecting which depend on a survey of a.
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